# Heavy vs. light flowers
# Callin Switzer
# 12 October 2016
# update 8 Dec 2017
# 
# Compares the bees' frequency when they are buzzing on 
# heavy (metal added) vs. light flowers
# Note: all pores were glued shut
#install packages
ipak <- function(pkg){
     new.pkg <- pkg[!(pkg %in% installed.packages()[, "Package"])]
     if(length(new.pkg)) install.packages(new.pkg, dependencies = TRUE)
     sapply(pkg, require, character.only = TRUE)
}

packages <- c("ggplot2", "reshape2", 'lme4', 'sjPlot', "multcomp", "plyr", "effects", "gamm4", "viridis", 
              "cowplot")
ipak(packages)
## Loading required package: ggplot2
## Loading required package: reshape2
## Loading required package: lme4
## Loading required package: Matrix
## Loading required package: sjPlot
## Warning in checkMatrixPackageVersion(): Package version inconsistency detected.
## TMB was built with Matrix version 1.2.10
## Current Matrix version is 1.2.11
## Please re-install 'TMB' from source or restore original 'Matrix' package
## #refugeeswelcome
## Loading required package: multcomp
## Loading required package: mvtnorm
## Loading required package: survival
## Loading required package: TH.data
## Loading required package: MASS
## 
## Attaching package: 'TH.data'
## The following object is masked from 'package:MASS':
## 
##     geyser
## Loading required package: plyr
## Loading required package: effects
## Loading required package: carData
## lattice theme set by effectsTheme()
## See ?effectsTheme for details.
## Loading required package: gamm4
## Loading required package: mgcv
## Loading required package: nlme
## 
## Attaching package: 'nlme'
## The following object is masked from 'package:lme4':
## 
##     lmList
## This is mgcv 1.8-20. For overview type 'help("mgcv-package")'.
## This is gamm4 0.2-5
## Loading required package: viridis
## Loading required package: viridisLite
## Loading required package: cowplot
## 
## Attaching package: 'cowplot'
## The following object is masked from 'package:sjPlot':
## 
##     plot_grid
## The following object is masked from 'package:ggplot2':
## 
##     ggsave
##  ggplot2 reshape2     lme4   sjPlot multcomp     plyr  effects    gamm4 
##     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE 
##  viridis  cowplot 
##     TRUE     TRUE
# set ggplot theme
theme_set(theme_classic() + theme(axis.text=element_text(colour="black")))

# define data and figure directories
dataDir <- "/Users/cswitzer/Dropbox/SonicationBehavior/SonBehData"
figDir <- "/Users/cswitzer/Dropbox/SonicationBehavior/SonBehFigs"


# print system info
print(paste("last run ", Sys.time()))
## Warning in as.POSIXlt.POSIXct(x, tz): unknown timezone 'zone/tz/2018c.1.0/
## zoneinfo/America/Los_Angeles'
## [1] "last run  2018-02-14 22:13:14"
print(R.version)
##                _                           
## platform       x86_64-apple-darwin15.6.0   
## arch           x86_64                      
## os             darwin15.6.0                
## system         x86_64, darwin15.6.0        
## status                                     
## major          3                           
## minor          4.2                         
## year           2017                        
## month          09                          
## day            28                          
## svn rev        73368                       
## language       R                           
## version.string R version 3.4.2 (2017-09-28)
## nickname       Short Summer

Read in data and do some visualizations

new_df = read.csv(file.path(dataDir, "02_HeavyLight_cleaned.csv"))

# divide amplitude by two
new_df$amp = new_df$amp / 2
new_df$amp_acc = new_df$amp_acc / 2

new_df$hive = as.factor(new_df$hive)
new_df$treatment <- mapvalues(new_df$treatment, from = c("sham", "weighted"), to = c("Sham", "Weighted"))
head(new_df)
##   freq      amp                  datetime rewNum
## 1  250 0.089725  2016_09_28__09_59_13_112      1
## 2  300 0.283285  2016_09_28__09_59_14_520      2
## 3  400 0.341855  2016_09_28__09_59_15_030      3
## 4  410 0.400590  2016_09_28__09_59_15_707      4
## 5  370 0.263330  2016_09_28__09_59_16_277      5
## 6  360 0.157705  2016_09_28__09_59_17_096      6
##                                     accFile beeID hive   IT
## 1 2016_09_28__09_59_13_112_220_450_test.txt     7    3 3.98
## 2 2016_09_28__09_59_14_520_220_450_test.txt     7    3 3.98
## 3 2016_09_28__09_59_15_030_220_450_test.txt     7    3 3.98
## 4 2016_09_28__09_59_15_707_220_450_test.txt     7    3 3.98
## 5 2016_09_28__09_59_16_277_220_450_test.txt     7    3 3.98
## 6 2016_09_28__09_59_17_096_220_450_test.txt     7    3 3.98
##                                             accFileAndFolder
## 1 Bee7_28Sept2016_Hive3_S_W/2016_09_28__09_58_58_ampFreq.txt
## 2 Bee7_28Sept2016_Hive3_S_W/2016_09_28__09_58_58_ampFreq.txt
## 3 Bee7_28Sept2016_Hive3_S_W/2016_09_28__09_58_58_ampFreq.txt
## 4 Bee7_28Sept2016_Hive3_S_W/2016_09_28__09_58_58_ampFreq.txt
## 5 Bee7_28Sept2016_Hive3_S_W/2016_09_28__09_58_58_ampFreq.txt
## 6 Bee7_28Sept2016_Hive3_S_W/2016_09_28__09_58_58_ampFreq.txt
##   dateFrozenOrMarked treatment   amp_acc
## 1          28-Sep-16      Sham  8.822517
## 2          28-Sep-16      Sham 27.854966
## 3          28-Sep-16      Sham 33.614061
## 4          28-Sep-16      Sham 39.389381
## 5          28-Sep-16      Sham 25.892822
## 6          28-Sep-16      Sham 15.506883
# calculate average number of each treatment
ll = list(tapply(new_df$treatment, new_df$beeID, table))
dd = data.frame(unlist(ll))
dd$beeTrt = row.names(dd)
dd$beeID = sapply(dd$beeTrt, FUN = function(x) strsplit(x, "\\.")[[1]][1])
dd$trt = sapply(dd$beeTrt, FUN = function(x) strsplit(x, "\\.")[[1]][2])

# shows average number of buzzes per treatment
tapply(dd$unlist.ll., INDEX = dd$trt, mean)
##     Sham Weighted 
## 29.69444 35.86111
tapply(dd$unlist.ll., INDEX = dd$trt, sd) # sd for number of buzzes
##      Sham  Weighted 
##  9.603034 15.224328
# show histograms of frequencies
hist(new_df$freq, breaks = seq(215, 455, by = 10))

# Calculate average for each bee and for each treatment
frqMeans <- as.data.frame(tapply(X = new_df$freq, INDEX = list(new_df$beeID, new_df$treatment), mean))
frqMeans$beeID <- row.names(frqMeans)
frqMeans
##            Sham Weighted  beeID
## 1      344.3333 347.0833      1
## 10     331.2000 382.5000     10
## 11     411.7391 387.6923     11
## 12     344.8276 339.2500     12
## 14     324.0625 281.6000     14
## 15     367.5000 376.3158     15
## 16     357.0588 386.0606     16
## 17     314.0741 341.6000     17
## 18     366.4706 345.0000     18
## 19     375.0000 379.2308     19
## 2      298.5294 322.9167      2
## 20     359.8148 313.3333     20
## 21     331.3158 310.7143     21
## 22     399.4286 388.2857     22
## 23     348.2759 351.2821     23
## 24     287.7778 273.3333     24
## 25     345.0000 352.3684     25
## 26     369.6000 392.7273     26
## 27     366.6667 350.0000     27
## 28     364.4444 374.1935     28
## 29     291.2500 319.3333     29
## 3      399.0323 388.9655      3
## 30     368.0769 369.0323     30
## 31     273.5294 320.4167     31
## 32     325.6000 246.1538     32
## 4      356.6667 371.3636      4
## 5      370.7692 353.7143      5
## 6      284.2857 326.5714      6
## 7      366.9697 396.3415      7
## 8      333.8462 342.0833      8
## 9      344.4000 384.4444      9
## blue   319.1429 333.8462   blue
## gold   374.5098 365.2174   gold
## orange 309.6875 319.1000 orange
## pink   385.3333 367.5000   pink
## white  319.7674 326.9444  white
# convert to long format for ggplot-ing
frqLong <- melt(frqMeans, id.vars = "beeID", measure.vars =  c("Sham", "Weighted"), 
     variable.name = "trt", value.name = "frq")
nrow(frqLong)
## [1] 72
ggplot(frqLong, aes(x = trt, y = frq)) + 
     geom_boxplot() + 
    geom_line(aes(group = beeID))+
     geom_point()

ggplot(frqLong, aes(x = trt, y = frq)) + 
     geom_boxplot() + 
     labs(y = "Buzz Frequency (Hz)", x = "Flower treatment")

#ggsave(file.path(figDir, "heavyLight_frq.pdf"), width = 5, height = 4)

# print some descriptive statistics
nrow(new_df)
## [1] 2360
unique(new_df$hive)
## [1] 3 4
## Levels: 3 4
# Calculate average amplitude for each bee and for each treatment
ampMeans <- as.data.frame(tapply(X = new_df$amp_acc, INDEX = list(new_df$beeID, new_df$treatment), mean))

ampMeans$beeID <- row.names(ampMeans)
ampMeans
##            Sham  Weighted  beeID
## 1      39.70744 24.541216      1
## 10     24.22769 15.418649     10
## 11     17.28190 11.444180     11
## 12     19.84847 18.109710     12
## 14     14.03120 11.075556     14
## 15     21.92283 19.648515     15
## 16     25.04022 18.327225     16
## 17     19.29140 17.107994     17
## 18     15.78372 11.735532     18
## 19     21.83492 12.326778     19
## 2      17.55835 17.037781      2
## 20     23.69995 17.697342     20
## 21     22.35682 17.249210     21
## 22     16.18466 12.351271     22
## 23     31.71900 23.023864     23
## 24     20.68468 11.487934     24
## 25     18.39199 10.026018     25
## 26     14.04610 11.081419     26
## 27     19.83488 15.451298     27
## 28     22.37161 19.972849     28
## 29     21.66900 11.190888     29
## 3      24.51342 28.123419      3
## 30     27.23703 14.518762     30
## 31     28.58787 15.258931     31
## 32     17.51064  2.504690     32
## 4      17.42392 18.981094      4
## 5      25.68650 16.483677      5
## 6      12.53034 18.368043      6
## 7      21.15394 23.764216      7
## 8      35.76728 14.135488      8
## 9      19.39762 14.562639      9
## blue   15.91575  9.797935   blue
## gold   17.36498 10.433586   gold
## orange 26.41613 23.003918 orange
## pink   15.31175 19.774079   pink
## white  11.27583  7.690511  white
ampLong <- melt(ampMeans, id.vars = "beeID", measure.vars =  c("Sham", "Weighted"), 
                variable.name = "trt", value.name = "amp")

ggplot(ampLong, aes(x = trt, y = amp)) + 
     geom_boxplot() + 
     geom_point()  + 
  labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Flower treatment")

ggplot(ampLong, aes(x = trt, y = amp)) + 
     geom_boxplot() + 
     geom_point() +
  geom_line(aes(group = beeID))

ggplot(ampLong, aes(x = trt, y = amp)) + 
     geom_boxplot() + 
     labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Flower treatment")

#ggsave(file.path(figDir, 'heavyLightAmp.pdf'), width = 5, heigh = 4)

nrow(ampLong)
## [1] 72

Modeling frequency with GAMM

Use BIC to select model (decide what interactions and covariates to use)

Make sure that REML = FALSE when comparing BIC values

Start with the biggest model of interest, and then see what predictors can be removed

rr = new_df$treatment[1]
df1 = new_df[1, ]
for(ii in 1:(nrow(new_df) -1)){
  if(rr == new_df$treatment[ii + 1]) next
  else{
    df1  = rbind(df1, new_df[ii+1, ])
    rr = new_df$treatment[ii + 1]
  }
}

df1 <- df1[df1$rewNum != 1, ]
df1$trtSwitch = df1$rewNum
colnames(df1)
##  [1] "freq"               "amp"                "datetime"          
##  [4] "rewNum"             "accFile"            "beeID"             
##  [7] "hive"               "IT"                 "accFileAndFolder"  
## [10] "dateFrozenOrMarked" "treatment"          "amp_acc"           
## [13] "trtSwitch"
df2 <- df1[, c("beeID", "hive", "trtSwitch", "IT")]
df2
##       beeID hive trtSwitch   IT
## 34        7    3        34 3.98
## 111   white    3        37 3.70
## 178       1    4        25 4.07
## 232       8    4        25 3.84
## 284      19    3        27 4.01
## 353      29    3        31 3.78
## 402      16    3        34 4.11
## 478      26    3        26 3.72
## 536      32    3        26 3.72
## 573      15    4        25 3.61
## 635      24    4        25 3.55
## 687      10    3        26 4.09
## 745      30    4        27 4.19
## 814      21    3        39 3.52
## 897      28    4        28 3.57
## 963       6    3        36 4.55
## 1002 orange    3        33 4.81
## 1129     17    4        28 4.25
## 1205     25    3        27 3.73
## 1267     31    3        25 3.76
## 1336   blue    3        36 3.91
## 1391     23    3        30 4.18
## 1459     12    3        30 4.10
## 1530      3    3        32 4.27
## 1594     22    4        36 3.65
## 1673      4    3        45 4.27
## 1710      9    3        26 4.17
## 1763      5    3        27 3.76
## 1832      2    4        35 4.42
## 1930     11    3        27 3.92
## 1986     20    3        34 4.28
## 2065     14    4        26 4.23
## 2127   pink    4        31 4.29
## 2204     27    3        34 3.51
## 2253     18    3        29 3.12
## 2310   gold    3        24 4.13
sum(duplicated(df2$beeID))
## [1] 0
newdf2 <- merge(new_df, df2)
head(newdf2)
##   beeID hive   IT freq      amp                  datetime rewNum
## 1     1    4 4.07  310 0.326120  2016_09_27__10_52_32_696      1
## 2     1    4 4.07  330 0.238665  2016_09_27__10_52_41_293      2
## 3     1    4 4.07  240 0.275335  2016_09_27__10_52_42_247      3
## 4     1    4 4.07  290 0.144885  2016_09_27__10_52_42_974      4
## 5     1    4 4.07  360 0.236555  2016_09_27__10_52_51_809      5
## 6     1    4 4.07  360 0.226820  2016_09_27__10_53_00_124      6
##                                     accFile
## 1 2016_09_27__10_52_32_696_220_450_test.txt
## 2 2016_09_27__10_52_41_293_220_450_test.txt
## 3 2016_09_27__10_52_42_247_220_450_test.txt
## 4 2016_09_27__10_52_42_974_220_450_test.txt
## 5 2016_09_27__10_52_51_809_220_450_test.txt
## 6 2016_09_27__10_53_00_124_220_450_test.txt
##                                         accFileAndFolder
## 1 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 2 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 3 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 4 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 5 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 6 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
##   dateFrozenOrMarked treatment  amp_acc trtSwitch
## 1          27-Sep-16  Weighted 32.06686        25
## 2          27-Sep-16  Weighted 23.46755        25
## 3          27-Sep-16  Weighted 27.07325        25
## 4          27-Sep-16  Weighted 14.24631        25
## 5          27-Sep-16  Weighted 23.26008        25
## 6          27-Sep-16  Weighted 22.30285        25
newdf2$visitNum_centered <- newdf2$rewNum - newdf2$trtSwitch

# get treatment
trts <- (sapply(unique(newdf2$beeID), FUN = function(x){
  startt = newdf2[newdf2$beeID == x & newdf2$rewNum == 1, "treatment" ]
  return(as.character(startt))
}))

df4 <- data.frame(beeID = unique(newdf2$beeID), trts = trts)

newdf3 <- merge(newdf2, df4)

newdf3$trt2 <- as.factor(paste(newdf3$trts, "first"))

head(newdf3)
##   beeID hive   IT freq      amp                  datetime rewNum
## 1     1    4 4.07  310 0.326120  2016_09_27__10_52_32_696      1
## 2     1    4 4.07  330 0.238665  2016_09_27__10_52_41_293      2
## 3     1    4 4.07  240 0.275335  2016_09_27__10_52_42_247      3
## 4     1    4 4.07  290 0.144885  2016_09_27__10_52_42_974      4
## 5     1    4 4.07  360 0.236555  2016_09_27__10_52_51_809      5
## 6     1    4 4.07  360 0.226820  2016_09_27__10_53_00_124      6
##                                     accFile
## 1 2016_09_27__10_52_32_696_220_450_test.txt
## 2 2016_09_27__10_52_41_293_220_450_test.txt
## 3 2016_09_27__10_52_42_247_220_450_test.txt
## 4 2016_09_27__10_52_42_974_220_450_test.txt
## 5 2016_09_27__10_52_51_809_220_450_test.txt
## 6 2016_09_27__10_53_00_124_220_450_test.txt
##                                         accFileAndFolder
## 1 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 2 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 3 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 4 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 5 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
## 6 Bee1_27Sept_Hive4_W_S/2016_09_27__10_52_05_ampFreq.txt
##   dateFrozenOrMarked treatment  amp_acc trtSwitch visitNum_centered
## 1          27-Sep-16  Weighted 32.06686        25               -24
## 2          27-Sep-16  Weighted 23.46755        25               -23
## 3          27-Sep-16  Weighted 27.07325        25               -22
## 4          27-Sep-16  Weighted 14.24631        25               -21
## 5          27-Sep-16  Weighted 23.26008        25               -20
## 6          27-Sep-16  Weighted 22.30285        25               -19
##       trts           trt2
## 1 Weighted Weighted first
## 2 Weighted Weighted first
## 3 Weighted Weighted first
## 4 Weighted Weighted first
## 5 Weighted Weighted first
## 6 Weighted Weighted first
# GAMM
# start with gamm so I can show change by visit number
g01 = gamm4(freq ~ s(visitNum_centered, by = trt2) + IT + hive + treatment + trt2, random =  ~(1|beeID), data = newdf3)
par(mfrow = c(2,3))
aab <- plot(g01$gam, all.terms = TRUE, rug = FALSE, shade = TRUE)

summary(g01$gam) # Summary for paper 
## 
## Family: gaussian 
## Link function: identity 
## 
## Formula:
## freq ~ s(visitNum_centered, by = trt2) + IT + hive + treatment + 
##     trt2
## 
## Parametric coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)         373.350     64.000   5.834 6.17e-09 ***
## IT                   -5.075     15.811  -0.321    0.748    
## hive4                -4.208     11.433  -0.368    0.713    
## treatmentWeighted     1.919      3.431   0.559    0.576    
## trt2Weighted first  -10.607     10.771  -0.985    0.325    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Approximate significance of smooth terms:
##                                         edf Ref.df     F p-value
## s(visitNum_centered):trt2Sham first       1      1 1.470   0.225
## s(visitNum_centered):trt2Weighted first   1      1 1.015   0.314
## 
## R-sq.(adj) =  -0.000401   
## lmer.REML =  25097  Scale est. = 2354.9    n = 2360
summary(g01$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 25096.9
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3193 -0.4698  0.1892  0.6934  2.3814 
## 
## Random effects:
##  Groups   Name                                    Variance  Std.Dev. 
##  beeID    (Intercept)                             9.602e+02 3.099e+01
##  Xr.0     s(visitNum_centered):trt2Weighted first 0.000e+00 0.000e+00
##  Xr       s(visitNum_centered):trt2Sham first     3.028e-11 5.503e-06
##  Residual                                         2.355e+03 4.853e+01
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                             Estimate Std. Error t value
## X(Intercept)                                 373.350     64.000   5.834
## XIT                                           -5.075     15.811  -0.321
## Xhive4                                        -4.208     11.433  -0.368
## XtreatmentWeighted                             1.919      3.431   0.559
## Xtrt2Weighted first                          -10.607     10.771  -0.985
## Xs(visitNum_centered):trt2Sham firstFx1        2.285      1.885   1.212
## Xs(visitNum_centered):trt2Weighted firstFx1    2.569      2.550   1.007
## 
## Correlation of Fixed Effects:
##             X(Int) XIT    Xhive4 XtrtmW Xtr2Wf X(N_):2Sf
## XIT         -0.992                                      
## Xhive4      -0.043 -0.011                               
## XtrtmntWght -0.041  0.011  0.003                        
## Xtrt2Wghtdf -0.237  0.165 -0.014  0.051                 
## X(N_):2SfF1  0.049 -0.028 -0.008 -0.707 -0.038          
## X(N_):2WfF1 -0.032  0.012 -0.002  0.658  0.063 -0.466
dev.off()
## null device 
##           1
g02 = gamm4(freq ~ s(visitNum_centered, by = trt2) +  hive + treatment + trt2, random =  ~(1|beeID), data = newdf3)
anova(g01$mer, g02$mer) #g02 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g02$mer: NULL
## g01$mer: NULL
##         Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## g02$mer 10 25152 25210 -12566    25132                         
## g01$mer 11 25154 25218 -12566    25132 0.1168      1     0.7325
summary(g02$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 25104.4
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3173 -0.4693  0.1882  0.6954  2.3808 
## 
## Random effects:
##  Groups   Name                                    Variance  Std.Dev. 
##  beeID    (Intercept)                             9.331e+02 3.055e+01
##  Xr.0     s(visitNum_centered):trt2Weighted first 0.000e+00 0.000e+00
##  Xr       s(visitNum_centered):trt2Sham first     1.379e-10 1.174e-05
##  Residual                                         2.355e+03 4.853e+01
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                             Estimate Std. Error t value
## X(Intercept)                                 352.967      7.981   44.23
## Xhive4                                        -4.248     11.276   -0.38
## XtreatmentWeighted                             1.939      3.431    0.57
## Xtrt2Weighted first                          -10.030     10.478   -0.96
## Xs(visitNum_centered):trt2Sham firstFx1        2.262      1.884    1.20
## Xs(visitNum_centered):trt2Weighted firstFx1    2.583      2.550    1.01
## 
## Correlation of Fixed Effects:
##             X(Int) Xhive4 XtrtmW Xtr2Wf X(N_):2Sf
## Xhive4      -0.426                               
## XtrtmntWght -0.242  0.004                        
## Xtrt2Wghtdf -0.587 -0.012  0.051                 
## X(N_):2SfF1  0.171 -0.009 -0.707 -0.034          
## X(N_):2WfF1 -0.158 -0.002  0.658  0.063 -0.466
g03 =  gamm4(freq ~ s(visitNum_centered, by = trt2) +  hive + trt2, random =  ~(1|beeID), data = newdf3)
anova(g02$mer, g03$mer) #g03 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g03$mer: NULL
## g02$mer: NULL
##         Df   AIC   BIC logLik deviance Chisq Chi Df Pr(>Chisq)
## g03$mer  9 25151 25203 -12566    25133                        
## g02$mer 10 25152 25210 -12566    25132 0.328      1     0.5668
summary(g03$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 25109
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3127 -0.4673  0.1923  0.6924  2.3917 
## 
## Random effects:
##  Groups   Name                                    Variance Std.Dev.
##  beeID    (Intercept)                              935.9   30.59   
##  Xr.0     s(visitNum_centered):trt2Weighted first    0.0    0.00   
##  Xr       s(visitNum_centered):trt2Sham first        0.0    0.00   
##  Residual                                         2354.1   48.52   
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                             Estimate Std. Error t value
## X(Intercept)                                 354.059      7.754   45.66
## Xhive4                                        -4.271     11.292   -0.38
## Xtrt2Weighted first                          -10.330     10.479   -0.99
## Xs(visitNum_centered):trt2Sham firstFx1        3.015      1.332    2.26
## Xs(visitNum_centered):trt2Weighted firstFx1    1.635      1.919    0.85
## 
## Correlation of Fixed Effects:
##             X(Int) Xhive4 Xtr2Wf X(N_):2Sf
## Xhive4      -0.438                        
## Xtrt2Wghtdf -0.593 -0.012                 
## X(N_):2SfF1  0.000 -0.008  0.003          
## X(N_):2WfF1  0.002 -0.005  0.039  0.000
g04 = gamm4(freq ~ s(visitNum_centered, by = trt2) +trt2, random =  ~(1|beeID), data = newdf3)
anova(g03$mer, g04$mer) # g04 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g04$mer: NULL
## g03$mer: NULL
##         Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## g04$mer  8 25149 25195 -12566    25133                         
## g03$mer  9 25151 25203 -12566    25133 0.1558      1      0.693
summary(g04$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 25115.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3139 -0.4690  0.1912  0.6937  2.3917 
## 
## Random effects:
##  Groups   Name                                    Variance  Std.Dev. 
##  beeID    (Intercept)                             9.112e+02 3.019e+01
##  Xr.0     s(visitNum_centered):trt2Weighted first 1.513e-09 3.890e-05
##  Xr       s(visitNum_centered):trt2Sham first     3.322e-12 1.823e-06
##  Residual                                         2.354e+03 4.852e+01
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                             Estimate Std. Error t value
## X(Intercept)                                 352.774      6.883   51.25
## Xtrt2Weighted first                          -10.376     10.345   -1.00
## Xs(visitNum_centered):trt2Sham firstFx1        3.008      1.332    2.26
## Xs(visitNum_centered):trt2Weighted firstFx1    1.631      1.919    0.85
## 
## Correlation of Fixed Effects:
##             X(Int) Xtr2Wf X(N_):2Sf
## Xtrt2Wghtdf -0.665                 
## X(N_):2SfF1 -0.004  0.003          
## X(N_):2WfF1  0.000  0.039  0.000
g05 = gamm4(freq ~ s(visitNum_centered) +trt2, random =  ~(1|beeID), data = newdf3)
anova(g04$mer, g05$mer) # g05 slightly better (according to BIC)
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g05$mer: NULL
## g04$mer: NULL
##         Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## g05$mer  6 25145 25180 -12567    25133                         
## g04$mer  8 25149 25195 -12566    25133 0.3437      2     0.8421
summary(g05$gam)
## 
## Family: gaussian 
## Link function: identity 
## 
## Formula:
## freq ~ s(visitNum_centered) + trt2
## 
## Parametric coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)         352.783      6.875  51.312   <2e-16 ***
## trt2Weighted first  -10.188     10.329  -0.986    0.324    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Approximate significance of smooth terms:
##                      edf Ref.df     F p-value  
## s(visitNum_centered)   1      1 5.478  0.0193 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## R-sq.(adj) =  -0.00388   
## lmer.REML =  25120  Scale est. = 2353.5    n = 2360
g06 = gamm4(freq ~ s(visitNum_centered), random =  ~(1|beeID), data = newdf3)
anova(g05$mer, g06$mer) # g05 slightly better (according to BIC)
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g06$mer: NULL
## g05$mer: NULL
##         Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## g06$mer  5 25144 25173 -12567    25134                         
## g05$mer  6 25145 25180 -12567    25133 1.0153      1     0.3136
summary(g06$mer) # g06 Better
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 25127.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3036 -0.4740  0.1917  0.6901  2.3998 
## 
## Random effects:
##  Groups   Name                 Variance  Std.Dev. 
##  beeID    (Intercept)          9.078e+02 3.013e+01
##  Xr       s(visitNum_centered) 9.414e-11 9.703e-06
##  Residual                      2.354e+03 4.851e+01
## Number of obs: 2360, groups:  beeID, 36; Xr, 8
## 
## Fixed effects:
##                          Estimate Std. Error t value
## X(Intercept)              348.268      5.127   67.93
## Xs(visitNum_centered)Fx1    2.587      1.093    2.37
## 
## Correlation of Fixed Effects:
##             X(Int)
## Xs(vstN_)F1 0.018
g07 = gamm4(freq ~ 1, random =  ~(1|beeID), data = newdf3)
anova(g06$mer, g07$mer) # g07 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g07$mer: NULL
## g06$mer: NULL
##         Df   AIC   BIC logLik deviance Chisq Chi Df Pr(>Chisq)  
## g07$mer  3 25146 25163 -12570    25140                          
## g06$mer  5 25144 25173 -12567    25134 5.584      2     0.0613 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
# looks like GAMM is not necessary -- no predictors significantly affect frequency

Modeling frequency with lmer

Do a similar thing to GAMM above (but make it more interpretable)

# fit lmer that is similar to gamm above
# interaction that may be important, based on domain knowledge
m0 = lmer(freq ~ I(scale(visitNum_centered)) * trt2 + I(scale(IT)) * treatment + hive  + I(scale(visitNum_centered^2)) + I(scale(IT)^2) +   (1|beeID), data = newdf3, REML = FALSE)

summary(m0)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## freq ~ I(scale(visitNum_centered)) * trt2 + I(scale(IT)) * treatment +  
##     hive + I(scale(visitNum_centered^2)) + I(scale(IT)^2) + (1 |  
##     beeID)
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25151.7  25220.8 -12563.8  25127.7     2348 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2909 -0.4690  0.2002  0.6886  2.3918 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  812.4   28.50   
##  Residual             2348.7   48.46   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                                Estimate Std. Error t value
## (Intercept)                                    356.7188     8.2319   43.33
## I(scale(visitNum_centered))                      1.3722     2.4815    0.55
## trt2Weighted first                              -9.6850     9.9725   -0.97
## I(scale(IT))                                    -4.9677     5.4807   -0.91
## treatmentWeighted                                2.9453     3.7036    0.80
## hive4                                           -4.9106    10.5727   -0.46
## I(scale(visitNum_centered^2))                    0.1972     1.5799    0.12
## I(scale(IT)^2)                                  -5.2727     3.9217   -1.34
## I(scale(visitNum_centered)):trt2Weighted first   1.1188     4.2882    0.26
## I(scale(IT)):treatmentWeighted                   3.8345     2.2161    1.73
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_) trt2Wf I(s(IT)) trtmnW hive4  I((N_^ I((IT)^
## I(scl(vN_))  0.192                                                    
## trt2Wghtdfr -0.504 -0.048                                             
## I(scal(IT)) -0.062  0.040  0.150                                      
## trtmntWghtd -0.257 -0.742  0.061 -0.034                               
## hive4       -0.411 -0.020 -0.017 -0.005    0.011                      
## I(sc(N_^2)) -0.071 -0.623  0.032 -0.036    0.350  0.016               
## I(sc(IT)^2) -0.400 -0.009 -0.068  0.128    0.007  0.059 -0.036        
## I((N_)):2Wf -0.214 -0.842  0.070 -0.015    0.821  0.013  0.448  0.018 
## I(sc(IT)):W -0.034 -0.171 -0.001 -0.236    0.136  0.005 -0.026 -0.029 
##             I((N_f
## I(scl(vN_))       
## trt2Wghtdfr       
## I(scal(IT))       
## trtmntWghtd       
## hive4             
## I(sc(N_^2))       
## I(sc(IT)^2)       
## I((N_)):2Wf       
## I(sc(IT)):W  0.088
# no interaction
m1 = update(m0, .~. - I(scale(visitNum_centered^2)))
BIC(m0, m1) # stay with m1 -- no interaction
##    df      BIC
## m0 12 25220.85
## m1 11 25213.10
anova(m0, m1) # agrees with BIC
## Data: newdf3
## Models:
## m1: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m1:     hive + I(scale(IT)^2) + (1 | beeID) + I(scale(visitNum_centered)):trt2 + 
## m1:     I(scale(IT)):treatment
## m0: freq ~ I(scale(visitNum_centered)) * trt2 + I(scale(IT)) * treatment + 
## m0:     hive + I(scale(visitNum_centered^2)) + I(scale(IT)^2) + (1 | 
## m0:     beeID)
##    Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m1 11 25150 25213 -12564    25128                         
## m0 12 25152 25221 -12564    25128 0.0156      1     0.9007
summary(m1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment +  
##     hive + I(scale(IT)^2) + (1 | beeID) + I(scale(visitNum_centered)):trt2 +  
##     I(scale(IT)):treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25149.7  25213.1 -12563.8  25127.7     2349 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2901 -0.4672  0.1999  0.6872  2.3924 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  812.2   28.50   
##  Residual             2348.7   48.46   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                                Estimate Std. Error t value
## (Intercept)                                     356.792      8.210   43.46
## I(scale(visitNum_centered))                       1.565      1.940    0.81
## trt2Weighted first                               -9.725      9.966   -0.98
## I(scale(IT))                                     -4.943      5.477   -0.90
## treatmentWeighted                                 2.784      3.470    0.80
## hive4                                            -4.932     10.570   -0.47
## I(scale(IT)^2)                                   -5.255      3.919   -1.34
## I(scale(visitNum_centered)):trt2Weighted first    0.879      3.833    0.23
## I(scale(IT)):treatmentWeighted                    3.842      2.215    1.73
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_) trt2Wf I(s(IT)) trtmnW hive4  I((IT)^ I((N_f
## I(scl(vN_))  0.190                                                    
## trt2Wghtdfr -0.503 -0.036                                             
## I(scal(IT)) -0.064  0.023  0.152                                      
## trtmntWghtd -0.248 -0.716  0.053 -0.022                               
## hive4       -0.411 -0.013 -0.018 -0.005    0.006                      
## I(sc(IT)^2) -0.404 -0.040 -0.067  0.127    0.021  0.060               
## I((N_)):2Wf -0.204 -0.805  0.062  0.001    0.793  0.006  0.038        
## I(sc(IT)):W -0.036 -0.239  0.000 -0.237    0.155  0.005 -0.030   0.111
m1.1 <- update(m1, .~. - I(scale(visitNum_centered)):trt2)
anova(m1.1, m1) # keep 1.1
## Data: newdf3
## Models:
## m1.1: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m1.1:     hive + I(scale(IT)^2) + (1 | beeID) + I(scale(IT)):treatment
## m1: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m1:     hive + I(scale(IT)^2) + (1 | beeID) + I(scale(visitNum_centered)):trt2 + 
## m1:     I(scale(IT)):treatment
##      Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m1.1 10 25148 25205 -12564    25128                         
## m1   11 25150 25213 -12564    25128 0.0526      1     0.8187
summary(m1.1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment +  
##     hive + I(scale(IT)^2) + (1 | beeID) + I(scale(IT)):treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25147.7  25205.4 -12563.9  25127.7     2350 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2923 -0.4665  0.2003  0.6857  2.3925 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  812.7   28.51   
##  Residual             2348.7   48.46   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                Estimate Std. Error t value
## (Intercept)                     357.176      8.039   44.43
## I(scale(visitNum_centered))       1.923      1.152    1.67
## trt2Weighted first               -9.867      9.950   -0.99
## I(scale(IT))                     -4.945      5.478   -0.90
## treatmentWeighted                 2.153      2.113    1.02
## hive4                            -4.947     10.573   -0.47
## I(scale(IT)^2)                   -5.289      3.917   -1.35
## I(scale(IT)):treatmentWeighted    3.785      2.202    1.72
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_) trt2Wf I(s(IT)) trtmnW hive4  I((IT)^
## I(scl(vN_))  0.043                                             
## trt2Wghtdfr -0.502  0.024                                      
## I(scal(IT)) -0.066  0.040  0.152                               
## trtmntWghtd -0.144 -0.214  0.006 -0.039                        
## hive4       -0.419 -0.013 -0.018 -0.005    0.002               
## I(sc(IT)^2) -0.405 -0.017 -0.070  0.127   -0.015  0.060        
## I(sc(IT)):W -0.014 -0.253 -0.007 -0.239    0.111  0.005 -0.034
m2 <- update(m1.1, .~. - hive)
anova(m1.1, m2) # keep m2 (based on BIC)
## Data: newdf3
## Models:
## m2: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m2:     I(scale(IT)^2) + (1 | beeID) + I(scale(IT)):treatment
## m1.1: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m1.1:     hive + I(scale(IT)^2) + (1 | beeID) + I(scale(IT)):treatment
##      Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m2    9 25146 25198 -12564    25128                         
## m1.1 10 25148 25205 -12564    25128 0.2182      1     0.6404
summary(m2)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment +  
##     I(scale(IT)^2) + (1 | beeID) + I(scale(IT)):treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25145.9  25197.8 -12564.0  25127.9     2351 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2954 -0.4655  0.2005  0.6868  2.3943 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  818     28.60   
##  Residual             2349     48.46   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                Estimate Std. Error t value
## (Intercept)                     355.602      7.323   48.56
## I(scale(visitNum_centered))       1.916      1.152    1.66
## trt2Weighted first               -9.951      9.979   -1.00
## I(scale(IT))                     -4.957      5.494   -0.90
## treatmentWeighted                 2.154      2.113    1.02
## I(scale(IT)^2)                   -5.179      3.922   -1.32
## I(scale(IT)):treatmentWeighted    3.791      2.202    1.72
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_) trt2Wf I(s(IT)) trtmnW I((IT)^
## I(scl(vN_))  0.041                                      
## trt2Wghtdfr -0.561  0.023                               
## I(scal(IT)) -0.074  0.040  0.152                        
## trtmntWghtd -0.158 -0.214  0.006 -0.039                 
## I(sc(IT)^2) -0.419 -0.016 -0.069  0.127   -0.015        
## I(sc(IT)):W -0.013 -0.253 -0.007 -0.238    0.111 -0.034
m3 <- update(m2, .~. - I(scale(IT)^2))
anova(m2, m3) # keep m3
## Data: newdf3
## Models:
## m3: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m3:     (1 | beeID) + I(scale(IT)):treatment
## m2: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m2:     I(scale(IT)^2) + (1 | beeID) + I(scale(IT)):treatment
##    Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m3  8 25146 25192 -12565    25130                         
## m2  9 25146 25198 -12564    25128 1.7007      1     0.1922
summary(m3)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment +  
##     (1 | beeID) + I(scale(IT)):treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25145.6  25191.8 -12564.8  25129.6     2352 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2974 -0.4648  0.1939  0.6878  2.3993 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  860.5   29.33   
##  Residual             2348.7   48.46   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                Estimate Std. Error t value
## (Intercept)                     351.549      6.806   51.65
## I(scale(visitNum_centered))       1.895      1.152    1.65
## trt2Weighted first              -10.862     10.199   -1.06
## I(scale(IT))                     -4.037      5.576   -0.72
## treatmentWeighted                 2.113      2.113    1.00
## I(scale(IT)):treatmentWeighted    3.701      2.201    1.68
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_) trt2Wf I(s(IT)) trtmnW
## I(scl(vN_))  0.038                              
## trt2Wghtdfr -0.652  0.022                       
## I(scal(IT)) -0.024  0.041  0.162                
## trtmntWghtd -0.176 -0.214  0.004 -0.036         
## I(sc(IT)):W -0.029 -0.254 -0.009 -0.230    0.110
m3.1 <- update(m3, .~. - trt2)
anova(m3, m3.1) # keep m3.1
## Data: newdf3
## Models:
## m3.1: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + treatment + 
## m3.1:     (1 | beeID) + I(scale(IT)):treatment
## m3: freq ~ I(scale(visitNum_centered)) + trt2 + I(scale(IT)) + treatment + 
## m3:     (1 | beeID) + I(scale(IT)):treatment
##      Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m3.1  7 25145 25185 -12565    25131                         
## m3    8 25146 25192 -12565    25130 1.1172      1     0.2905
summary(m3.1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + treatment +  
##     (1 | beeID) + I(scale(IT)):treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25144.8  25185.1 -12565.4  25130.8     2353 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3023 -0.4645  0.1920  0.6862  2.3959 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  888.4   29.81   
##  Residual             2348.7   48.46   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                Estimate Std. Error t value
## (Intercept)                     346.822      5.236   66.24
## I(scale(visitNum_centered))       1.922      1.152    1.67
## I(scale(IT))                     -3.075      5.583   -0.55
## treatmentWeighted                 2.123      2.113    1.00
## I(scale(IT)):treatmentWeighted    3.686      2.201    1.68
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_) I(s(IT)) trtmnW
## I(scl(vN_))  0.067                       
## I(scal(IT))  0.109  0.038                
## trtmntWghtd -0.226 -0.215 -0.037         
## I(sc(IT)):W -0.046 -0.254 -0.228    0.111
m4 <- update(m3.1, .~. - treatment)

anova(m3.1, m4) #keep m4
## Data: newdf3
## Models:
## m4: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + (1 | beeID) + 
## m4:     I(scale(IT)):treatment
## m3.1: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + treatment + 
## m3.1:     (1 | beeID) + I(scale(IT)):treatment
##      Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m4    6 25144 25178 -12566    25132                         
## m3.1  7 25145 25185 -12565    25131 1.0089      1     0.3152
summary(m4)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + (1 | beeID) +  
##     I(scale(IT)):treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25143.8  25178.4 -12565.9  25131.8     2354 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2783 -0.4565  0.1932  0.6827  2.4222 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  888.5   29.81   
##  Residual             2349.7   48.47   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                Estimate Std. Error t value
## (Intercept)                     348.008      5.102   68.22
## I(scale(visitNum_centered))       2.171      1.125    1.93
## I(scale(IT))                     -2.868      5.580   -0.51
## I(scale(IT)):treatmentWeighted    3.442      2.188    1.57
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_) I(s(IT))
## I(scl(vN_))  0.020                
## I(scal(IT))  0.104  0.031         
## I(sc(IT)):W -0.022 -0.237 -0.226
m5 <- update(m4, .~. -I(scale(IT)):treatment)
anova(m4, m5) # keep m5 -- baesd on BIC (agrees with GAMM analysis above)
## Data: newdf3
## Models:
## m5: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + (1 | beeID)
## m4: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + (1 | beeID) + 
## m4:     I(scale(IT)):treatment
##    Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m5  5 25144 25173 -12567    25134                         
## m4  6 25144 25178 -12566    25132 2.4726      1     0.1158
summary(m5)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + (1 | beeID)
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25144.2  25173.1 -12567.1  25134.2     2355 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3038 -0.4736  0.1929  0.6902  2.3985 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  880.5   29.67   
##  Residual             2352.5   48.50   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                             Estimate Std. Error t value
## (Intercept)                 348.1844     5.0783   68.56
## I(scale(visitNum_centered))   2.5898     1.0937    2.37
## I(scale(IT))                 -0.8855     5.4117   -0.16
## 
## Correlation of Fixed Effects:
##             (Intr) I((N_)
## I(scl(vN_))  0.015       
## I(scal(IT))  0.102 -0.024
m6 <- update(m5, .~. - I(scale(IT)))
anova(m5, m6)
## Data: newdf3
## Models:
## m6: freq ~ I(scale(visitNum_centered)) + (1 | beeID)
## m5: freq ~ I(scale(visitNum_centered)) + I(scale(IT)) + (1 | beeID)
##    Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m6  4 25142 25165 -12567    25134                         
## m5  5 25144 25173 -12567    25134 0.0268      1     0.8701
summary(m6) 
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: freq ~ I(scale(visitNum_centered)) + (1 | beeID)
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25142.3  25165.3 -12567.1  25134.3     2356 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3033 -0.4735  0.1920  0.6906  2.3989 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  881.3   29.69   
##  Residual             2352.5   48.50   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                             Estimate Std. Error t value
## (Intercept)                  348.269      5.054   68.91
## I(scale(visitNum_centered))    2.586      1.093    2.36
## 
## Correlation of Fixed Effects:
##             (Intr)
## I(scl(vN_)) 0.018
m7 <- update(m6, .~. - I(scale(visitNum_centered)))
anova(m6, m7) # keep m7
## Data: newdf3
## Models:
## m7: freq ~ (1 | beeID)
## m6: freq ~ I(scale(visitNum_centered)) + (1 | beeID)
##    Df   AIC   BIC logLik deviance Chisq Chi Df Pr(>Chisq)  
## m7  3 25146 25163 -12570    25140                          
## m6  4 25142 25165 -12567    25134 5.584      1    0.01813 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(m7)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: freq ~ (1 | beeID)
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##  25145.8  25163.1 -12569.9  25139.8     2357 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3391 -0.4568  0.1808  0.6925  2.3602 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  875.4   29.59   
##  Residual             2358.4   48.56   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##             Estimate Std. Error t value
## (Intercept)  348.056      5.037   69.09
# get p-value for treament  for paper

m_trt <- update(m7, .~. + treatment)
anova(m7, m_trt) # p-val for paper
## Data: newdf3
## Models:
## m7: freq ~ (1 | beeID)
## m_trt: freq ~ (1 | beeID) + treatment
##       Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m7     3 25146 25163 -12570    25140                         
## m_trt  4 25146 25169 -12569    25138 1.5992      1      0.206
m_IT <- update(m7, .~. + IT)
anova(m7, m_IT) # p-val for IT span
## Data: newdf3
## Models:
## m7: freq ~ (1 | beeID)
## m_IT: freq ~ (1 | beeID) + IT
##      Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m7    3 25146 25163 -12570    25140                         
## m_IT  4 25148 25171 -12570    25140 0.0114      1     0.9151
# final freq mod for paper
finmod <- update(m7, .~., REML = TRUE)
summary(finmod) # final model for paper -- same as gamm
## Linear mixed model fit by REML ['lmerMod']
## Formula: freq ~ (1 | beeID)
##    Data: newdf3
## 
## REML criterion at convergence: 25134.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3401 -0.4580  0.1806  0.6919  2.3616 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  901.6   30.03   
##  Residual             2358.4   48.56   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##             Estimate Std. Error t value
## (Intercept)  348.056      5.109   68.12
summary(finmod) # summary for paper -- no predictors predict frequency (when accounting for beeID)
## Linear mixed model fit by REML ['lmerMod']
## Formula: freq ~ (1 | beeID)
##    Data: newdf3
## 
## REML criterion at convergence: 25134.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3401 -0.4580  0.1806  0.6919  2.3616 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  901.6   30.03   
##  Residual             2358.4   48.56   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##             Estimate Std. Error t value
## (Intercept)  348.056      5.109   68.12
plot(finmod)

qqnorm(ranef(finmod)$beeID[[1]])
qqline(ranef(finmod)$beeID[[1]])

sjp.lmer(finmod, type = "re", sort = TRUE) # plot random effects to find any outliers
## Plotting random effects...

# sjp.lmer(finmod, type = 'fe', sort = TRUE, p.kr = FALSE) # plot fixed effects

Bootstrap CI’s for figure for paper

# set number of bootstrap replicates for models
nbootSims = 10000

table(new_df$hive) # more trials from hive 3
## 
##    3    4 
## 1644  716
# using hive 3, since it's the one with the most data
# however, hive doesn't affect model anyway

# calculate an average IT for prediction
ITmean = mean(tapply(new_df$IT, INDEX = new_df$beeID, FUN = function(x) x[1] ))

pframe <- expand.grid(trt2 = levels(droplevels(newdf3$trt2)),
                     IT = ITmean,
                     visitNum_centered = -50:50, 
                     hive = factor(3, levels = levels(newdf3$hive)),  
                     beeID = 99999, 
                     treatment = levels(newdf3$treatment))
pframe$freq <- 0
pframe <- pframe[(pframe$trt2 == "Sham first" &
                    pframe$treatment == "Sham" & 
                    pframe$visitNum_centered < 0) |
                    (pframe$trt2 == "Sham first" &
                    pframe$treatment == "Weighted" & 
                    pframe$visitNum_centered > 0) |
                    (pframe$trt2 == "Weighted first" &
                    pframe$treatment == "Weighted" & 
                    pframe$visitNum_centered < 0) |
                    (pframe$trt2 == "Weighted first" &
                    pframe$treatment == "Sham" & 
                    pframe$visitNum_centered > 0) 
                    , ]

# make a model to show the effect of treatment in a plot
m1 <- update(finmod, .~. + treatment)
pp <- predict(m1, newdata = pframe, re.form=NA, type = 'response') # re.form sets all random effects to 0


### Calculate CI's (using bootstrap, not accounting for random effects)
bb2 <- bootMer(m1, FUN=function(x) predict(x, pframe, re.form=NA, type = 'response'), nsim = nbootSims)
## Warning in optwrap(object@optinfo$optimizer, ff, x0, lower = lower, control
## = control$optCtrl, : convergence code 3 from bobyqa: bobyqa -- a trust
## region step failed to reduce q

## Warning in optwrap(object@optinfo$optimizer, ff, x0, lower = lower, control
## = control$optCtrl, : convergence code 3 from bobyqa: bobyqa -- a trust
## region step failed to reduce q

## Warning in optwrap(object@optinfo$optimizer, ff, x0, lower = lower, control
## = control$optCtrl, : convergence code 3 from bobyqa: bobyqa -- a trust
## region step failed to reduce q

## Warning in optwrap(object@optinfo$optimizer, ff, x0, lower = lower, control
## = control$optCtrl, : convergence code 3 from bobyqa: bobyqa -- a trust
## region step failed to reduce q

## Warning in optwrap(object@optinfo$optimizer, ff, x0, lower = lower, control
## = control$optCtrl, : convergence code 3 from bobyqa: bobyqa -- a trust
## region step failed to reduce q
print(paste("Number of bootstrap samples", nrow(bb2$t)))
## [1] "Number of bootstrap samples 10000"
bb2_se <-apply(bb2$t,2,function(x) quantile(x, probs = c(0.025, 0.975)))
pframe$blo<-bb2_se[1,]
pframe$bhi<-bb2_se[2,]
pframe$predMean <- pp
pframe
##               trt2       IT visitNum_centered hive beeID treatment freq
## 1       Sham first 3.965833               -50    3 99999      Sham    0
## 3       Sham first 3.965833               -49    3 99999      Sham    0
## 5       Sham first 3.965833               -48    3 99999      Sham    0
## 7       Sham first 3.965833               -47    3 99999      Sham    0
## 9       Sham first 3.965833               -46    3 99999      Sham    0
## 11      Sham first 3.965833               -45    3 99999      Sham    0
## 13      Sham first 3.965833               -44    3 99999      Sham    0
## 15      Sham first 3.965833               -43    3 99999      Sham    0
## 17      Sham first 3.965833               -42    3 99999      Sham    0
## 19      Sham first 3.965833               -41    3 99999      Sham    0
## 21      Sham first 3.965833               -40    3 99999      Sham    0
## 23      Sham first 3.965833               -39    3 99999      Sham    0
## 25      Sham first 3.965833               -38    3 99999      Sham    0
## 27      Sham first 3.965833               -37    3 99999      Sham    0
## 29      Sham first 3.965833               -36    3 99999      Sham    0
## 31      Sham first 3.965833               -35    3 99999      Sham    0
## 33      Sham first 3.965833               -34    3 99999      Sham    0
## 35      Sham first 3.965833               -33    3 99999      Sham    0
## 37      Sham first 3.965833               -32    3 99999      Sham    0
## 39      Sham first 3.965833               -31    3 99999      Sham    0
## 41      Sham first 3.965833               -30    3 99999      Sham    0
## 43      Sham first 3.965833               -29    3 99999      Sham    0
## 45      Sham first 3.965833               -28    3 99999      Sham    0
## 47      Sham first 3.965833               -27    3 99999      Sham    0
## 49      Sham first 3.965833               -26    3 99999      Sham    0
## 51      Sham first 3.965833               -25    3 99999      Sham    0
## 53      Sham first 3.965833               -24    3 99999      Sham    0
## 55      Sham first 3.965833               -23    3 99999      Sham    0
## 57      Sham first 3.965833               -22    3 99999      Sham    0
## 59      Sham first 3.965833               -21    3 99999      Sham    0
## 61      Sham first 3.965833               -20    3 99999      Sham    0
## 63      Sham first 3.965833               -19    3 99999      Sham    0
## 65      Sham first 3.965833               -18    3 99999      Sham    0
## 67      Sham first 3.965833               -17    3 99999      Sham    0
## 69      Sham first 3.965833               -16    3 99999      Sham    0
## 71      Sham first 3.965833               -15    3 99999      Sham    0
## 73      Sham first 3.965833               -14    3 99999      Sham    0
## 75      Sham first 3.965833               -13    3 99999      Sham    0
## 77      Sham first 3.965833               -12    3 99999      Sham    0
## 79      Sham first 3.965833               -11    3 99999      Sham    0
## 81      Sham first 3.965833               -10    3 99999      Sham    0
## 83      Sham first 3.965833                -9    3 99999      Sham    0
## 85      Sham first 3.965833                -8    3 99999      Sham    0
## 87      Sham first 3.965833                -7    3 99999      Sham    0
## 89      Sham first 3.965833                -6    3 99999      Sham    0
## 91      Sham first 3.965833                -5    3 99999      Sham    0
## 93      Sham first 3.965833                -4    3 99999      Sham    0
## 95      Sham first 3.965833                -3    3 99999      Sham    0
## 97      Sham first 3.965833                -2    3 99999      Sham    0
## 99      Sham first 3.965833                -1    3 99999      Sham    0
## 104 Weighted first 3.965833                 1    3 99999      Sham    0
## 106 Weighted first 3.965833                 2    3 99999      Sham    0
## 108 Weighted first 3.965833                 3    3 99999      Sham    0
## 110 Weighted first 3.965833                 4    3 99999      Sham    0
## 112 Weighted first 3.965833                 5    3 99999      Sham    0
## 114 Weighted first 3.965833                 6    3 99999      Sham    0
## 116 Weighted first 3.965833                 7    3 99999      Sham    0
## 118 Weighted first 3.965833                 8    3 99999      Sham    0
## 120 Weighted first 3.965833                 9    3 99999      Sham    0
## 122 Weighted first 3.965833                10    3 99999      Sham    0
## 124 Weighted first 3.965833                11    3 99999      Sham    0
## 126 Weighted first 3.965833                12    3 99999      Sham    0
## 128 Weighted first 3.965833                13    3 99999      Sham    0
## 130 Weighted first 3.965833                14    3 99999      Sham    0
## 132 Weighted first 3.965833                15    3 99999      Sham    0
## 134 Weighted first 3.965833                16    3 99999      Sham    0
## 136 Weighted first 3.965833                17    3 99999      Sham    0
## 138 Weighted first 3.965833                18    3 99999      Sham    0
## 140 Weighted first 3.965833                19    3 99999      Sham    0
## 142 Weighted first 3.965833                20    3 99999      Sham    0
## 144 Weighted first 3.965833                21    3 99999      Sham    0
## 146 Weighted first 3.965833                22    3 99999      Sham    0
## 148 Weighted first 3.965833                23    3 99999      Sham    0
## 150 Weighted first 3.965833                24    3 99999      Sham    0
## 152 Weighted first 3.965833                25    3 99999      Sham    0
## 154 Weighted first 3.965833                26    3 99999      Sham    0
## 156 Weighted first 3.965833                27    3 99999      Sham    0
## 158 Weighted first 3.965833                28    3 99999      Sham    0
## 160 Weighted first 3.965833                29    3 99999      Sham    0
## 162 Weighted first 3.965833                30    3 99999      Sham    0
## 164 Weighted first 3.965833                31    3 99999      Sham    0
## 166 Weighted first 3.965833                32    3 99999      Sham    0
## 168 Weighted first 3.965833                33    3 99999      Sham    0
## 170 Weighted first 3.965833                34    3 99999      Sham    0
## 172 Weighted first 3.965833                35    3 99999      Sham    0
## 174 Weighted first 3.965833                36    3 99999      Sham    0
## 176 Weighted first 3.965833                37    3 99999      Sham    0
## 178 Weighted first 3.965833                38    3 99999      Sham    0
## 180 Weighted first 3.965833                39    3 99999      Sham    0
## 182 Weighted first 3.965833                40    3 99999      Sham    0
## 184 Weighted first 3.965833                41    3 99999      Sham    0
## 186 Weighted first 3.965833                42    3 99999      Sham    0
## 188 Weighted first 3.965833                43    3 99999      Sham    0
## 190 Weighted first 3.965833                44    3 99999      Sham    0
## 192 Weighted first 3.965833                45    3 99999      Sham    0
## 194 Weighted first 3.965833                46    3 99999      Sham    0
## 196 Weighted first 3.965833                47    3 99999      Sham    0
## 198 Weighted first 3.965833                48    3 99999      Sham    0
## 200 Weighted first 3.965833                49    3 99999      Sham    0
## 202 Weighted first 3.965833                50    3 99999      Sham    0
## 204 Weighted first 3.965833               -50    3 99999  Weighted    0
## 206 Weighted first 3.965833               -49    3 99999  Weighted    0
## 208 Weighted first 3.965833               -48    3 99999  Weighted    0
## 210 Weighted first 3.965833               -47    3 99999  Weighted    0
## 212 Weighted first 3.965833               -46    3 99999  Weighted    0
## 214 Weighted first 3.965833               -45    3 99999  Weighted    0
## 216 Weighted first 3.965833               -44    3 99999  Weighted    0
## 218 Weighted first 3.965833               -43    3 99999  Weighted    0
## 220 Weighted first 3.965833               -42    3 99999  Weighted    0
## 222 Weighted first 3.965833               -41    3 99999  Weighted    0
## 224 Weighted first 3.965833               -40    3 99999  Weighted    0
## 226 Weighted first 3.965833               -39    3 99999  Weighted    0
## 228 Weighted first 3.965833               -38    3 99999  Weighted    0
## 230 Weighted first 3.965833               -37    3 99999  Weighted    0
## 232 Weighted first 3.965833               -36    3 99999  Weighted    0
## 234 Weighted first 3.965833               -35    3 99999  Weighted    0
## 236 Weighted first 3.965833               -34    3 99999  Weighted    0
## 238 Weighted first 3.965833               -33    3 99999  Weighted    0
## 240 Weighted first 3.965833               -32    3 99999  Weighted    0
## 242 Weighted first 3.965833               -31    3 99999  Weighted    0
## 244 Weighted first 3.965833               -30    3 99999  Weighted    0
## 246 Weighted first 3.965833               -29    3 99999  Weighted    0
## 248 Weighted first 3.965833               -28    3 99999  Weighted    0
## 250 Weighted first 3.965833               -27    3 99999  Weighted    0
## 252 Weighted first 3.965833               -26    3 99999  Weighted    0
## 254 Weighted first 3.965833               -25    3 99999  Weighted    0
## 256 Weighted first 3.965833               -24    3 99999  Weighted    0
## 258 Weighted first 3.965833               -23    3 99999  Weighted    0
## 260 Weighted first 3.965833               -22    3 99999  Weighted    0
## 262 Weighted first 3.965833               -21    3 99999  Weighted    0
## 264 Weighted first 3.965833               -20    3 99999  Weighted    0
## 266 Weighted first 3.965833               -19    3 99999  Weighted    0
## 268 Weighted first 3.965833               -18    3 99999  Weighted    0
## 270 Weighted first 3.965833               -17    3 99999  Weighted    0
## 272 Weighted first 3.965833               -16    3 99999  Weighted    0
## 274 Weighted first 3.965833               -15    3 99999  Weighted    0
## 276 Weighted first 3.965833               -14    3 99999  Weighted    0
## 278 Weighted first 3.965833               -13    3 99999  Weighted    0
## 280 Weighted first 3.965833               -12    3 99999  Weighted    0
## 282 Weighted first 3.965833               -11    3 99999  Weighted    0
## 284 Weighted first 3.965833               -10    3 99999  Weighted    0
## 286 Weighted first 3.965833                -9    3 99999  Weighted    0
## 288 Weighted first 3.965833                -8    3 99999  Weighted    0
## 290 Weighted first 3.965833                -7    3 99999  Weighted    0
## 292 Weighted first 3.965833                -6    3 99999  Weighted    0
## 294 Weighted first 3.965833                -5    3 99999  Weighted    0
## 296 Weighted first 3.965833                -4    3 99999  Weighted    0
## 298 Weighted first 3.965833                -3    3 99999  Weighted    0
## 300 Weighted first 3.965833                -2    3 99999  Weighted    0
## 302 Weighted first 3.965833                -1    3 99999  Weighted    0
## 305     Sham first 3.965833                 1    3 99999  Weighted    0
## 307     Sham first 3.965833                 2    3 99999  Weighted    0
## 309     Sham first 3.965833                 3    3 99999  Weighted    0
## 311     Sham first 3.965833                 4    3 99999  Weighted    0
## 313     Sham first 3.965833                 5    3 99999  Weighted    0
## 315     Sham first 3.965833                 6    3 99999  Weighted    0
## 317     Sham first 3.965833                 7    3 99999  Weighted    0
## 319     Sham first 3.965833                 8    3 99999  Weighted    0
## 321     Sham first 3.965833                 9    3 99999  Weighted    0
## 323     Sham first 3.965833                10    3 99999  Weighted    0
## 325     Sham first 3.965833                11    3 99999  Weighted    0
## 327     Sham first 3.965833                12    3 99999  Weighted    0
## 329     Sham first 3.965833                13    3 99999  Weighted    0
## 331     Sham first 3.965833                14    3 99999  Weighted    0
## 333     Sham first 3.965833                15    3 99999  Weighted    0
## 335     Sham first 3.965833                16    3 99999  Weighted    0
## 337     Sham first 3.965833                17    3 99999  Weighted    0
## 339     Sham first 3.965833                18    3 99999  Weighted    0
## 341     Sham first 3.965833                19    3 99999  Weighted    0
## 343     Sham first 3.965833                20    3 99999  Weighted    0
## 345     Sham first 3.965833                21    3 99999  Weighted    0
## 347     Sham first 3.965833                22    3 99999  Weighted    0
## 349     Sham first 3.965833                23    3 99999  Weighted    0
## 351     Sham first 3.965833                24    3 99999  Weighted    0
## 353     Sham first 3.965833                25    3 99999  Weighted    0
## 355     Sham first 3.965833                26    3 99999  Weighted    0
## 357     Sham first 3.965833                27    3 99999  Weighted    0
## 359     Sham first 3.965833                28    3 99999  Weighted    0
## 361     Sham first 3.965833                29    3 99999  Weighted    0
## 363     Sham first 3.965833                30    3 99999  Weighted    0
## 365     Sham first 3.965833                31    3 99999  Weighted    0
## 367     Sham first 3.965833                32    3 99999  Weighted    0
## 369     Sham first 3.965833                33    3 99999  Weighted    0
## 371     Sham first 3.965833                34    3 99999  Weighted    0
## 373     Sham first 3.965833                35    3 99999  Weighted    0
## 375     Sham first 3.965833                36    3 99999  Weighted    0
## 377     Sham first 3.965833                37    3 99999  Weighted    0
## 379     Sham first 3.965833                38    3 99999  Weighted    0
## 381     Sham first 3.965833                39    3 99999  Weighted    0
## 383     Sham first 3.965833                40    3 99999  Weighted    0
## 385     Sham first 3.965833                41    3 99999  Weighted    0
## 387     Sham first 3.965833                42    3 99999  Weighted    0
## 389     Sham first 3.965833                43    3 99999  Weighted    0
## 391     Sham first 3.965833                44    3 99999  Weighted    0
## 393     Sham first 3.965833                45    3 99999  Weighted    0
## 395     Sham first 3.965833                46    3 99999  Weighted    0
## 397     Sham first 3.965833                47    3 99999  Weighted    0
## 399     Sham first 3.965833                48    3 99999  Weighted    0
## 401     Sham first 3.965833                49    3 99999  Weighted    0
## 403     Sham first 3.965833                50    3 99999  Weighted    0
##          blo      bhi predMean
## 1   336.4795 356.5832 346.6421
## 3   336.4795 356.5832 346.6421
## 5   336.4795 356.5832 346.6421
## 7   336.4795 356.5832 346.6421
## 9   336.4795 356.5832 346.6421
## 11  336.4795 356.5832 346.6421
## 13  336.4795 356.5832 346.6421
## 15  336.4795 356.5832 346.6421
## 17  336.4795 356.5832 346.6421
## 19  336.4795 356.5832 346.6421
## 21  336.4795 356.5832 346.6421
## 23  336.4795 356.5832 346.6421
## 25  336.4795 356.5832 346.6421
## 27  336.4795 356.5832 346.6421
## 29  336.4795 356.5832 346.6421
## 31  336.4795 356.5832 346.6421
## 33  336.4795 356.5832 346.6421
## 35  336.4795 356.5832 346.6421
## 37  336.4795 356.5832 346.6421
## 39  336.4795 356.5832 346.6421
## 41  336.4795 356.5832 346.6421
## 43  336.4795 356.5832 346.6421
## 45  336.4795 356.5832 346.6421
## 47  336.4795 356.5832 346.6421
## 49  336.4795 356.5832 346.6421
## 51  336.4795 356.5832 346.6421
## 53  336.4795 356.5832 346.6421
## 55  336.4795 356.5832 346.6421
## 57  336.4795 356.5832 346.6421
## 59  336.4795 356.5832 346.6421
## 61  336.4795 356.5832 346.6421
## 63  336.4795 356.5832 346.6421
## 65  336.4795 356.5832 346.6421
## 67  336.4795 356.5832 346.6421
## 69  336.4795 356.5832 346.6421
## 71  336.4795 356.5832 346.6421
## 73  336.4795 356.5832 346.6421
## 75  336.4795 356.5832 346.6421
## 77  336.4795 356.5832 346.6421
## 79  336.4795 356.5832 346.6421
## 81  336.4795 356.5832 346.6421
## 83  336.4795 356.5832 346.6421
## 85  336.4795 356.5832 346.6421
## 87  336.4795 356.5832 346.6421
## 89  336.4795 356.5832 346.6421
## 91  336.4795 356.5832 346.6421
## 93  336.4795 356.5832 346.6421
## 95  336.4795 356.5832 346.6421
## 97  336.4795 356.5832 346.6421
## 99  336.4795 356.5832 346.6421
## 104 336.4795 356.5832 346.6421
## 106 336.4795 356.5832 346.6421
## 108 336.4795 356.5832 346.6421
## 110 336.4795 356.5832 346.6421
## 112 336.4795 356.5832 346.6421
## 114 336.4795 356.5832 346.6421
## 116 336.4795 356.5832 346.6421
## 118 336.4795 356.5832 346.6421
## 120 336.4795 356.5832 346.6421
## 122 336.4795 356.5832 346.6421
## 124 336.4795 356.5832 346.6421
## 126 336.4795 356.5832 346.6421
## 128 336.4795 356.5832 346.6421
## 130 336.4795 356.5832 346.6421
## 132 336.4795 356.5832 346.6421
## 134 336.4795 356.5832 346.6421
## 136 336.4795 356.5832 346.6421
## 138 336.4795 356.5832 346.6421
## 140 336.4795 356.5832 346.6421
## 142 336.4795 356.5832 346.6421
## 144 336.4795 356.5832 346.6421
## 146 336.4795 356.5832 346.6421
## 148 336.4795 356.5832 346.6421
## 150 336.4795 356.5832 346.6421
## 152 336.4795 356.5832 346.6421
## 154 336.4795 356.5832 346.6421
## 156 336.4795 356.5832 346.6421
## 158 336.4795 356.5832 346.6421
## 160 336.4795 356.5832 346.6421
## 162 336.4795 356.5832 346.6421
## 164 336.4795 356.5832 346.6421
## 166 336.4795 356.5832 346.6421
## 168 336.4795 356.5832 346.6421
## 170 336.4795 356.5832 346.6421
## 172 336.4795 356.5832 346.6421
## 174 336.4795 356.5832 346.6421
## 176 336.4795 356.5832 346.6421
## 178 336.4795 356.5832 346.6421
## 180 336.4795 356.5832 346.6421
## 182 336.4795 356.5832 346.6421
## 184 336.4795 356.5832 346.6421
## 186 336.4795 356.5832 346.6421
## 188 336.4795 356.5832 346.6421
## 190 336.4795 356.5832 346.6421
## 192 336.4795 356.5832 346.6421
## 194 336.4795 356.5832 346.6421
## 196 336.4795 356.5832 346.6421
## 198 336.4795 356.5832 346.6421
## 200 336.4795 356.5832 346.6421
## 202 336.4795 356.5832 346.6421
## 204 339.0374 359.2846 349.2520
## 206 339.0374 359.2846 349.2520
## 208 339.0374 359.2846 349.2520
## 210 339.0374 359.2846 349.2520
## 212 339.0374 359.2846 349.2520
## 214 339.0374 359.2846 349.2520
## 216 339.0374 359.2846 349.2520
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## 220 339.0374 359.2846 349.2520
## 222 339.0374 359.2846 349.2520
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## 230 339.0374 359.2846 349.2520
## 232 339.0374 359.2846 349.2520
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## 238 339.0374 359.2846 349.2520
## 240 339.0374 359.2846 349.2520
## 242 339.0374 359.2846 349.2520
## 244 339.0374 359.2846 349.2520
## 246 339.0374 359.2846 349.2520
## 248 339.0374 359.2846 349.2520
## 250 339.0374 359.2846 349.2520
## 252 339.0374 359.2846 349.2520
## 254 339.0374 359.2846 349.2520
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## 258 339.0374 359.2846 349.2520
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## 284 339.0374 359.2846 349.2520
## 286 339.0374 359.2846 349.2520
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## 290 339.0374 359.2846 349.2520
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## 294 339.0374 359.2846 349.2520
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## 298 339.0374 359.2846 349.2520
## 300 339.0374 359.2846 349.2520
## 302 339.0374 359.2846 349.2520
## 305 339.0374 359.2846 349.2520
## 307 339.0374 359.2846 349.2520
## 309 339.0374 359.2846 349.2520
## 311 339.0374 359.2846 349.2520
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## 315 339.0374 359.2846 349.2520
## 317 339.0374 359.2846 349.2520
## 319 339.0374 359.2846 349.2520
## 321 339.0374 359.2846 349.2520
## 323 339.0374 359.2846 349.2520
## 325 339.0374 359.2846 349.2520
## 327 339.0374 359.2846 349.2520
## 329 339.0374 359.2846 349.2520
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## 335 339.0374 359.2846 349.2520
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## 339 339.0374 359.2846 349.2520
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## 343 339.0374 359.2846 349.2520
## 345 339.0374 359.2846 349.2520
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## 349 339.0374 359.2846 349.2520
## 351 339.0374 359.2846 349.2520
## 353 339.0374 359.2846 349.2520
## 355 339.0374 359.2846 349.2520
## 357 339.0374 359.2846 349.2520
## 359 339.0374 359.2846 349.2520
## 361 339.0374 359.2846 349.2520
## 363 339.0374 359.2846 349.2520
## 365 339.0374 359.2846 349.2520
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## 369 339.0374 359.2846 349.2520
## 371 339.0374 359.2846 349.2520
## 373 339.0374 359.2846 349.2520
## 375 339.0374 359.2846 349.2520
## 377 339.0374 359.2846 349.2520
## 379 339.0374 359.2846 349.2520
## 381 339.0374 359.2846 349.2520
## 383 339.0374 359.2846 349.2520
## 385 339.0374 359.2846 349.2520
## 387 339.0374 359.2846 349.2520
## 389 339.0374 359.2846 349.2520
## 391 339.0374 359.2846 349.2520
## 393 339.0374 359.2846 349.2520
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## 399 339.0374 359.2846 349.2520
## 401 339.0374 359.2846 349.2520
## 403 339.0374 359.2846 349.2520
### Make frequency plots for paper


# predictions are from this model
summary(m1)
## Linear mixed model fit by REML ['lmerMod']
## Formula: freq ~ (1 | beeID) + treatment
##    Data: newdf3
## 
## REML criterion at convergence: 25129.9
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3673 -0.4740  0.1874  0.6837  2.3307 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  901.5   30.02   
##  Residual             2357.8   48.56   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)        346.642      5.230   66.28
## treatmentWeighted    2.610      2.064    1.26
## 
## Correlation of Fixed Effects:
##             (Intr)
## trtmntWghtd -0.214
anova(m1, update(m1, .~. - treatment)) #p-val and BIC for paper
## refitting model(s) with ML (instead of REML)
## Data: newdf3
## Models:
## update(m1, . ~ . - treatment): freq ~ (1 | beeID)
## m1: freq ~ (1 | beeID) + treatment
##                               Df   AIC   BIC logLik deviance  Chisq Chi Df
## update(m1, . ~ . - treatment)  3 25146 25163 -12570    25140              
## m1                             4 25146 25169 -12569    25138 1.5992      1
##                               Pr(>Chisq)
## update(m1, . ~ . - treatment)           
## m1                                 0.206
pframe$trt3 <- mapvalues(pframe$trt2, from = c("Sham first", "Weighted first"), 
                          to = c("Sham -> Weighted", "Weighted -> Sham"))


g0 <- ggplot(pframe, aes(x=visitNum_centered, y=predMean))+
     geom_line(aes(color = treatment))+ 
     labs(y = "Sonication frequency (Hz)", x = "Sonication number\n (0 is when treatment switched)") + 
     geom_ribbon(aes(x = visitNum_centered, ymin = blo, ymax = bhi, fill= treatment), alpha = 0.2) + 
  facet_wrap(~trt3) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  scale_fill_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  theme(legend.position = c(0.5, 0.90), 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="horizontal") + 
  ylim(c(330, 370))
g0

ggsave(filename = file.path(figDir, "WeightedSham_Freq_Timeseries.pdf"), width =5, height = 3.6)


g1 <- g0 + geom_point(data = newdf3[newdf3$visitNum_centered < 50,],
                aes(x = visitNum_centered, y = freq), position = position_jitter(height = 5), size = 0.1, pch = 16, alpha = 0.4) + 
  ylim(c(220, 470))
## Scale for 'y' is already present. Adding another scale for 'y', which
## will replace the existing scale.
g1 # note that the distribution of frequency is a bit bimodal -- this could be 

# a problem, so we ran the analysis with a freq cutoff at 270
# we found no significant differences in the models either way.
ggsave(filename = file.path(figDir, "WeightedSham_Freq_Timeseries_RawData.pdf"), width =5, height = 3.6)


g1 <- g0 + geom_point(data = newdf3[newdf3$visitNum_centered < 50,],
                aes(x = visitNum_centered, y = freq), position = position_jitter(height = 5), size = 0.1, pch = 16, alpha = 0.4) + 
  ylim(c(270, 480))
## Scale for 'y' is already present. Adding another scale for 'y', which
## will replace the existing scale.
g1
## Warning: Removed 741 rows containing missing values (geom_point).

ggsave(filename = file.path(figDir, "WeightedSham_Freq_Timeseries_RawData_trimmed.pdf"), width =5, height = 3.6)
## Warning: Removed 733 rows containing missing values (geom_point).
# mean and 95% CI (without visit number)

g0_freq <- ggplot(pframe[pframe$visitNum_centered %in% c(-25, 25), ], aes(x=treatment, y=predMean))+
    geom_point(aes(color = treatment), alpha = 1) + 
     labs(y = "Sonication frequency (Hz)", x = "Flower treatment") + 
     geom_errorbar(aes(x = treatment, ymin = blo, ymax = bhi, color= treatment), alpha = 1, width = 0.1) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, begin =0, end = 0, option = "A") + 
  theme(legend.position = "none", 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="horizontal") 
g0_freq

ggsave(filename = file.path(figDir, "WeightedSham_Freq_pointWhiskers_BW.pdf"), width =2.5, height = 3)



g0 <- ggplot(pframe[pframe$visitNum_centered %in% c(-25, 25), ], aes(x=treatment, y=predMean))+
    geom_point(aes(color = treatment), alpha = 1) + 
     labs(y = "Sonication frequency (Hz)", x = "Flower treatment") + 
     geom_errorbar(aes(x = treatment, ymin = blo, ymax = bhi, color= treatment), alpha = 1, width = 0.1) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  theme(legend.position = "none", 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="horizontal") 
g0

ggsave(filename = file.path(figDir, "WeightedSham_Freq_pointWhiskers.pdf"), width =5, height = 3.6)


Fig2a <- g0



## add raw data
g1 <- g0 + geom_point(data = newdf3, aes(x = treatment, y = freq, color = treatment), position = position_jitter(width = 0.1, height = 6), alpha = 0.4, pch = 16, size = 0.2)
g1

ggsave(filename = file.path(figDir, "WeightedSham_Freq_pointWhiskers_rawData.pdf"), width =5, height = 3.6)




# "Mean and bootstrap CI based on fixed-effects uncertainty ONLY"
g0 <- ggplot(pframe, aes(x=visitNum_centered, y=predMean))+
     geom_point()+ 
     labs(y = "Sonication frequency (Hz)", x = "buzzNumber") + 
     geom_ribbon(aes(x = visitNum_centered, ymin = blo, ymax = bhi), alpha = 0.2) + 
  facet_wrap(~trt2)
g0

# plot effect to see if it agrees
plot(Effect(c("treatment"), m1))

Modeling amplitude with gamm

g01 = gamm4(log(amp_acc) ~ s(visitNum_centered, by = trt2) + trt2 + IT + hive + treatment, random =  ~(1|beeID), data = newdf3)
par(mfrow = c(2,3))
aab <- plot(g01$gam, all.terms = TRUE, rug = FALSE, shade = TRUE)

summary(g01$gam) # Summary for paper 
## 
## Family: gaussian 
## Link function: identity 
## 
## Formula:
## log(amp_acc) ~ s(visitNum_centered, by = trt2) + trt2 + IT + 
##     hive + treatment
## 
## Parametric coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)         2.03662    0.58219   3.498 0.000477 ***
## trt2Weighted first -0.05297    0.09833  -0.539 0.590179    
## IT                  0.21347    0.14365   1.486 0.137405    
## hive4               0.09955    0.10391   0.958 0.338173    
## treatmentWeighted  -0.32857    0.04921  -6.678 3.02e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Approximate significance of smooth terms:
##                                           edf Ref.df     F p-value  
## s(visitNum_centered):trt2Sham first     1.414  1.414 4.924  0.0175 *
## s(visitNum_centered):trt2Weighted first 2.800  2.800 3.683  0.0323 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## R-sq.(adj) =  0.0571   
## lmer.REML = 4557.5  Scale est. = 0.384     n = 2360
summary(g01$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 4557.5
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9897 -0.5342  0.1125  0.6707  2.6828 
## 
## Random effects:
##  Groups   Name                                    Variance Std.Dev.
##  beeID    (Intercept)                             0.076179 0.27601 
##  Xr.0     s(visitNum_centered):trt2Weighted first 0.376255 0.61340 
##  Xr       s(visitNum_centered):trt2Sham first     0.008701 0.09328 
##  Residual                                         0.384002 0.61968 
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                              Estimate Std. Error t value
## X(Intercept)                                 2.036625   0.582186   3.498
## Xtrt2Weighted first                         -0.052966   0.098331  -0.539
## XIT                                          0.213470   0.143651   1.486
## Xhive4                                       0.099547   0.103913   0.958
## XtreatmentWeighted                          -0.328574   0.049206  -6.678
## Xs(visitNum_centered):trt2Sham firstFx1      0.059922   0.036356   1.648
## Xs(visitNum_centered):trt2Weighted firstFx1  0.003639   0.188745   0.019
## 
## Correlation of Fixed Effects:
##             X(Int) Xtr2Wf XIT    Xhive4 XtrtmW X(N_):2Sf
## Xtrt2Wghtdf -0.238                                      
## XIT         -0.991  0.166                               
## Xhive4      -0.041 -0.011 -0.012                        
## XtrtmntWght -0.062  0.061  0.015  0.000                 
## X(N_):2SfF1  0.051 -0.029 -0.030 -0.003 -0.455          
## X(N_):2WfF1 -0.001  0.060  0.000  0.001  0.023 -0.011
dev.off()
## null device 
##           1
g011 = gamm4(log(amp_acc) ~ s(visitNum_centered, by = trt2)  + IT + hive + treatment, random =  ~(1|beeID), data = newdf3)
par(mfrow = c(2,3))
aab <- plot(g011$gam, all.terms = TRUE, rug = FALSE, shade = TRUE)
summary(g011$gam) 
## 
## Family: gaussian 
## Link function: identity 
## 
## Formula:
## log(amp_acc) ~ s(visitNum_centered, by = trt2) + IT + hive + 
##     treatment
## 
## Parametric coefficients:
##                   Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        1.96224    0.55974   3.506 0.000464 ***
## IT                 0.22614    0.14023   1.613 0.106971    
## hive4              0.09890    0.10286   0.961 0.336419    
## treatmentWeighted -0.32629    0.04905  -6.652 3.58e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Approximate significance of smooth terms:
##                                           edf Ref.df     F p-value  
## s(visitNum_centered):trt2Sham first     1.396  1.396 4.868  0.0185 *
## s(visitNum_centered):trt2Weighted first 2.824  2.824 3.711  0.0286 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## R-sq.(adj) =  0.0543   
## lmer.REML =   4555  Scale est. = 0.38399   n = 2360
summary(g011$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 4555
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9904 -0.5310  0.1120  0.6721  2.6775 
## 
## Random effects:
##  Groups   Name                                    Variance Std.Dev.
##  beeID    (Intercept)                             0.074527 0.27300 
##  Xr.0     s(visitNum_centered):trt2Weighted first 0.387227 0.62228 
##  Xr       s(visitNum_centered):trt2Sham first     0.008222 0.09068 
##  Residual                                         0.383989 0.61967 
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                             Estimate Std. Error t value
## X(Intercept)                                 1.96224    0.55974   3.506
## XIT                                          0.22614    0.14023   1.613
## Xhive4                                       0.09890    0.10286   0.961
## XtreatmentWeighted                          -0.32629    0.04905  -6.652
## Xs(visitNum_centered):trt2Sham firstFx1      0.05943    0.03583   1.659
## Xs(visitNum_centered):trt2Weighted firstFx1  0.01018    0.19078   0.053
## 
## Correlation of Fixed Effects:
##             X(Int) XIT    Xhive4 XtrtmW X(N_):2Sf
## XIT         -0.994                               
## Xhive4      -0.045 -0.011                        
## XtrtmntWght -0.049  0.005  0.001                 
## X(N_):2SfF1  0.046 -0.026 -0.003 -0.463          
## X(N_):2WfF1  0.014 -0.010  0.002  0.018 -0.008
dev.off()
## null device 
##           1
anova(g01$mer, g011$mer) # go with g011
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g011$mer: NULL
## g01$mer: NULL
##          Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## g011$mer 10 4553.4 4611.1 -2266.7   4533.4                         
## g01$mer  11 4555.1 4618.5 -2266.5   4533.1 0.3497      1     0.5543
g02 = gamm4(log(amp_acc) ~ s(visitNum_centered, by = trt2)  + IT  + treatment, random =  ~(1|beeID), data = newdf3)
par(mfrow = c(2,3))
aab <- plot(g02$gam, all.terms = TRUE, rug = FALSE, shade = TRUE)
summary(g02$gam) # Summary for paper 
## 
## Family: gaussian 
## Link function: identity 
## 
## Formula:
## log(amp_acc) ~ s(visitNum_centered, by = trt2) + IT + treatment
## 
## Parametric coefficients:
##                   Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        1.98646    0.55806   3.560 0.000379 ***
## IT                 0.22770    0.13995   1.627 0.103864    
## treatmentWeighted -0.32686    0.04912  -6.655 3.52e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Approximate significance of smooth terms:
##                                           edf Ref.df     F p-value  
## s(visitNum_centered):trt2Sham first     1.412  1.412 4.868  0.0182 *
## s(visitNum_centered):trt2Weighted first 2.810  2.810 3.669  0.0310 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## R-sq.(adj) =  0.0534   
## lmer.REML = 4553.2  Scale est. = 0.384     n = 2360
summary(g02$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 4553.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9949 -0.5328  0.1143  0.6739  2.6875 
## 
## Random effects:
##  Groups   Name                                    Variance Std.Dev.
##  beeID    (Intercept)                             0.074211 0.27242 
##  Xr.0     s(visitNum_centered):trt2Weighted first 0.379483 0.61602 
##  Xr       s(visitNum_centered):trt2Sham first     0.008663 0.09307 
##  Residual                                         0.384001 0.61968 
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                              Estimate Std. Error t value
## X(Intercept)                                 1.986456   0.558065   3.560
## XIT                                          0.227704   0.139951   1.627
## XtreatmentWeighted                          -0.326857   0.049116  -6.655
## Xs(visitNum_centered):trt2Sham firstFx1      0.059463   0.036299   1.638
## Xs(visitNum_centered):trt2Weighted firstFx1  0.009651   0.189098   0.051
## 
## Correlation of Fixed Effects:
##             X(Int) XIT    XtrtmW X(N_):2Sf
## XIT         -0.995                        
## XtrtmntWght -0.049  0.005                 
## X(N_):2SfF1  0.046 -0.026 -0.455          
## X(N_):2WfF1  0.014 -0.010  0.019 -0.009
dev.off()
## null device 
##           1
anova(g011$mer, g02$mer) # g02 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g02$mer: NULL
## g011$mer: NULL
##          Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## g02$mer   9 4552.4 4604.3 -2267.2   4534.4                         
## g011$mer 10 4553.4 4611.1 -2266.7   4533.4 0.9778      1     0.3228
g03 = gamm4(log(amp_acc) ~ s(visitNum_centered, by = trt2)  + treatment, random =  ~(1|beeID), data = newdf3)

anova(g02$mer, g03$mer) #keep g03
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g03$mer: NULL
## g02$mer: NULL
##         Df    AIC    BIC  logLik deviance Chisq Chi Df Pr(>Chisq)
## g03$mer  8 4553.1 4599.2 -2268.5   4537.1                        
## g02$mer  9 4552.4 4604.3 -2267.2   4534.4 2.691      1     0.1009
summary(g03$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 4553.7
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9839 -0.5287  0.1117  0.6716  2.6967 
## 
## Random effects:
##  Groups   Name                                    Variance Std.Dev.
##  beeID    (Intercept)                             0.077961 0.27921 
##  Xr.0     s(visitNum_centered):trt2Weighted first 0.397557 0.63052 
##  Xr       s(visitNum_centered):trt2Sham first     0.005922 0.07696 
##  Residual                                         0.384011 0.61969 
## Number of obs: 2360, groups:  beeID, 36; Xr.0, 8; Xr, 8
## 
## Fixed effects:
##                                             Estimate Std. Error t value
## X(Intercept)                                 2.88897    0.05438   53.12
## XtreatmentWeighted                          -0.32459    0.04854   -6.69
## Xs(visitNum_centered):trt2Sham firstFx1      0.06166    0.03320    1.86
## Xs(visitNum_centered):trt2Weighted firstFx1  0.01321    0.19301    0.07
## 
## Correlation of Fixed Effects:
##             X(Int) XtrtmW X(N_):2Sf
## XtrtmntWght -0.451                 
## X(N_):2SfF1  0.228 -0.510          
## X(N_):2WfF1  0.040  0.017 -0.009
g04 <- gamm4(log(amp_acc) ~ s(visitNum_centered)  + treatment, random =  ~(1|beeID), data = newdf3)

anova(g03$mer, g04$mer) #g04 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g04$mer: NULL
## g03$mer: NULL
##         Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## g04$mer  6 4551.2 4585.8 -2269.6   4539.2                         
## g03$mer  8 4553.1 4599.2 -2268.5   4537.1 2.1425      2     0.3426
summary(g04$gam) # approx p-value for smooth
## 
## Family: gaussian 
## Link function: identity 
## 
## Formula:
## log(amp_acc) ~ s(visitNum_centered) + treatment
## 
## Parametric coefficients:
##                   Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        2.87225    0.05047   56.91   <2e-16 ***
## treatmentWeighted -0.29794    0.02688  -11.08   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Approximate significance of smooth terms:
##                        edf Ref.df     F p-value   
## s(visitNum_centered) 2.056  2.056 6.862 0.00106 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## R-sq.(adj) =  0.0378   
## lmer.REML = 4555.5  Scale est. = 0.38524   n = 2360
summary(g04$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 4555.5
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0433 -0.5427  0.1059  0.6832  2.7605 
## 
## Random effects:
##  Groups   Name                 Variance Std.Dev.
##  beeID    (Intercept)          0.07754  0.2785  
##  Xr       s(visitNum_centered) 0.02027  0.1424  
##  Residual                      0.38524  0.6207  
## Number of obs: 2360, groups:  beeID, 36; Xr, 8
## 
## Fixed effects:
##                          Estimate Std. Error t value
## X(Intercept)              2.87225    0.05047   56.91
## XtreatmentWeighted       -0.29794    0.02688  -11.08
## Xs(visitNum_centered)Fx1  0.02517    0.04290    0.59
## 
## Correlation of Fixed Effects:
##             X(Int) XtrtmW
## XtrtmntWght -0.293       
## Xs(vstN_)F1  0.024 -0.053
g44 <- gamm4(log(amp_acc) ~ visitNum_centered  + treatment, random =  ~(1|beeID), data = newdf3)
g05 <- gamm4(log(amp_acc) ~ treatment, random =  ~(1|beeID), data = newdf3)

anova(g44$mer, g05$mer) #g44 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g05$mer: NULL
## g44$mer: NULL
##         Df    AIC    BIC  logLik deviance Chisq Chi Df Pr(>Chisq)    
## g05$mer  4 4560.8 4583.9 -2276.4   4552.8                            
## g44$mer  5 4549.2 4578.0 -2269.6   4539.2 13.63      1  0.0002226 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
g06 <- gamm4(log(amp_acc) ~ visitNum_centered , random =  ~(1|beeID), data = newdf3)
anova(g44$mer, g06$mer) #g044 better
## refitting model(s) with ML (instead of REML)
## Data: NULL
## Models:
## g06$mer: NULL
## g44$mer: NULL
##         Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)    
## g06$mer  4 4666.2 4689.3 -2329.1   4658.2                             
## g44$mer  5 4549.2 4578.0 -2269.6   4539.2 119.02      1  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
# final model -- only treatment matters
ampMod <- g04
summary(ampMod$mer)
## Linear mixed model fit by REML ['lmerMod']
## 
## REML criterion at convergence: 4555.5
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0433 -0.5427  0.1059  0.6832  2.7605 
## 
## Random effects:
##  Groups   Name                 Variance Std.Dev.
##  beeID    (Intercept)          0.07754  0.2785  
##  Xr       s(visitNum_centered) 0.02027  0.1424  
##  Residual                      0.38524  0.6207  
## Number of obs: 2360, groups:  beeID, 36; Xr, 8
## 
## Fixed effects:
##                          Estimate Std. Error t value
## X(Intercept)              2.87225    0.05047   56.91
## XtreatmentWeighted       -0.29794    0.02688  -11.08
## Xs(visitNum_centered)Fx1  0.02517    0.04290    0.59
## 
## Correlation of Fixed Effects:
##             X(Int) XtrtmW
## XtrtmntWght -0.293       
## Xs(vstN_)F1  0.024 -0.053
summary(ampMod$gam)
## 
## Family: gaussian 
## Link function: identity 
## 
## Formula:
## log(amp_acc) ~ s(visitNum_centered) + treatment
## 
## Parametric coefficients:
##                   Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        2.87225    0.05047   56.91   <2e-16 ***
## treatmentWeighted -0.29794    0.02688  -11.08   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Approximate significance of smooth terms:
##                        edf Ref.df     F p-value   
## s(visitNum_centered) 2.056  2.056 6.862 0.00106 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## R-sq.(adj) =  0.0378   
## lmer.REML = 4555.5  Scale est. = 0.38524   n = 2360
plot(ampMod$mer)
par(mfrow = c(2,1))
plot(ampMod$gam, all.terms = TRUE, rug = FALSE, shade = TRUE)
dev.off()
## null device 
##           1

Modeling amplitude with lmer

# log transform for acceleration helps model fit better
# start with large model (including interaction)
ma0 = lmer(log(amp_acc) ~ visitNum_centered*trt2 +  hive +IT * treatment+ (1|beeID), data = newdf3, REML = FALSE)
summary(ma0)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## log(amp_acc) ~ visitNum_centered * trt2 + hive + IT * treatment +  
##     (1 | beeID)
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##   4541.7   4599.3  -2260.8   4521.7     2350 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0318 -0.5397  0.1116  0.6862  2.6657 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.06647  0.2578  
##  Residual             0.38294  0.6188  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                                        Estimate Std. Error t value
## (Intercept)                           2.6249695  0.5736149   4.576
## visitNum_centered                     0.0017926  0.0010587   1.693
## trt2Weighted first                   -0.0608425  0.0918382  -0.662
## hive4                                 0.0948197  0.0975308   0.972
## IT                                    0.0589548  0.1420758   0.415
## treatmentWeighted                    -1.4174293  0.3083754  -4.596
## visitNum_centered:trt2Weighted first -0.0004062  0.0020914  -0.194
## IT:treatmentWeighted                  0.2808255  0.0780233   3.599
## 
## Correlation of Fixed Effects:
##             (Intr) vstNm_ trt2Wf hive4  IT     trtmnW vN_:2f
## vstNm_cntrd -0.015                                          
## trt2Wghtdfr -0.229  0.040                                   
## hive4       -0.038 -0.014 -0.013                            
## IT          -0.992  0.038  0.162 -0.014                     
## trtmntWghtd -0.312  0.142  0.014 -0.009  0.316              
## vstNm_c:2Wf -0.022 -0.805 -0.027  0.005 -0.005 -0.002       
## IT:trtmntWg  0.307 -0.241 -0.016  0.010 -0.317 -0.990  0.115
ma1 = update(ma0, .~. - visitNum_centered:trt2)

BIC(ma0, ma1) # interaction, ma1, is better
##     df      BIC
## ma0 10 4599.347
## ma1  9 4591.618
# pval for interaction (in case paper needs it)
anova(ma0, ma1)
## Data: newdf3
## Models:
## ma1: log(amp_acc) ~ visitNum_centered + trt2 + hive + IT + treatment + 
## ma1:     (1 | beeID) + IT:treatment
## ma0: log(amp_acc) ~ visitNum_centered * trt2 + hive + IT * treatment + 
## ma0:     (1 | beeID)
##     Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## ma1  9 4539.7 4591.6 -2260.9   4521.7                         
## ma0 10 4541.7 4599.3 -2260.8   4521.7 0.0377      1      0.846
summary(ma1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## log(amp_acc) ~ visitNum_centered + trt2 + hive + IT + treatment +  
##     (1 | beeID) + IT:treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##   4539.7   4591.6  -2260.9   4521.7     2351 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0255 -0.5401  0.1127  0.6850  2.6689 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.06652  0.2579  
##  Residual             0.38294  0.6188  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                        Estimate Std. Error t value
## (Intercept)           2.6225230  0.5736617   4.572
## visitNum_centered     0.0016270  0.0006282   2.590
## trt2Weighted first   -0.0613216  0.0918373  -0.668
## hive4                 0.0949225  0.0975640   0.973
## IT                    0.0588142  0.1421196   0.414
## treatmentWeighted    -1.4175699  0.3083761  -4.597
## IT:treatmentWeighted  0.2825651  0.0775090   3.646
## 
## Correlation of Fixed Effects:
##             (Intr) vstNm_ trt2Wf hive4  IT     trtmnW
## vstNm_cntrd -0.055                                   
## trt2Wghtdfr -0.229  0.031                            
## hive4       -0.038 -0.016 -0.013                     
## IT          -0.993  0.056  0.162 -0.014              
## trtmntWghtd -0.312  0.236  0.014 -0.009  0.316       
## IT:trtmntWg  0.312 -0.253 -0.013  0.009 -0.318 -0.996
ma2 <- update(ma1, .~. - trt2)
BIC(ma1, ma2) # keep ma2
##     df      BIC
## ma1  9 4591.618
## ma2  8 4584.295
summary(ma2)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: log(amp_acc) ~ visitNum_centered + hive + IT + treatment + (1 |  
##     beeID) + IT:treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##   4538.2   4584.3  -2261.1   4522.2     2352 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0293 -0.5416  0.1160  0.6854  2.6651 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.06752  0.2598  
##  Residual             0.38294  0.6188  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                       Estimate Std. Error t value
## (Intercept)           2.534726   0.561839   4.511
## visitNum_centered     0.001640   0.000628   2.611
## hive4                 0.094133   0.098224   0.958
## IT                    0.074144   0.141118   0.525
## treatmentWeighted    -1.414972   0.308358  -4.589
## IT:treatmentWeighted  0.281940   0.077505   3.638
## 
## Correlation of Fixed Effects:
##             (Intr) vstNm_ hive4  IT     trtmnW
## vstNm_cntrd -0.049                            
## hive4       -0.042 -0.016                     
## IT          -0.995  0.052 -0.012              
## trtmntWghtd -0.315  0.235 -0.008  0.316       
## IT:trtmntWg  0.316 -0.252  0.009 -0.318 -0.996
ma3 <- update(ma2, .~. - hive)
anova(ma2, ma3) # keep ma3
## Data: newdf3
## Models:
## ma3: log(amp_acc) ~ visitNum_centered + IT + treatment + (1 | beeID) + 
## ma3:     IT:treatment
## ma2: log(amp_acc) ~ visitNum_centered + hive + IT + treatment + (1 | 
## ma2:     beeID) + IT:treatment
##     Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## ma3  7 4537.1 4577.4 -2261.5   4523.1                         
## ma2  8 4538.2 4584.3 -2261.1   4522.2 0.9083      1     0.3406
summary(ma3)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## log(amp_acc) ~ visitNum_centered + IT + treatment + (1 | beeID) +  
##     IT:treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##   4537.1   4577.4  -2261.5   4523.1     2353 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0319 -0.5419  0.1149  0.6887  2.6771 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.06929  0.2632  
##  Residual             0.38295  0.6188  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                       Estimate Std. Error t value
## (Intercept)           2.557274   0.567438   4.507
## visitNum_centered     0.001648   0.000628   2.625
## IT                    0.075722   0.142637   0.531
## treatmentWeighted    -1.412882   0.308373  -4.582
## IT:treatmentWeighted  0.281383   0.077509   3.630
## 
## Correlation of Fixed Effects:
##             (Intr) vstNm_ IT     trtmnW
## vstNm_cntrd -0.049                     
## IT          -0.996  0.051              
## trtmntWghtd -0.312  0.235  0.312       
## IT:trtmntWg  0.313 -0.252 -0.315 -0.996
ma3.1 <- update(ma3, .~. - visitNum_centered)
anova(ma3, ma3.1) # keep 3.1
## Data: newdf3
## Models:
## ma3.1: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
## ma3: log(amp_acc) ~ visitNum_centered + IT + treatment + (1 | beeID) + 
## ma3:     IT:treatment
##       Df    AIC    BIC  logLik deviance Chisq Chi Df Pr(>Chisq)   
## ma3.1  6 4541.9 4576.5 -2265.0   4529.9                           
## ma3    7 4537.1 4577.4 -2261.5   4523.1 6.877      1   0.008731 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(ma3.1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##   4541.9   4576.5  -2265.0   4529.9     2354 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0202 -0.5393  0.1093  0.6834  2.6666 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.07006  0.2647  
##  Residual             0.38402  0.6197  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                      Estimate Std. Error t value
## (Intercept)           2.63056    0.56952   4.619
## IT                    0.05660    0.14315   0.395
## treatmentWeighted    -1.60343    0.30014  -5.342
## IT:treatmentWeighted  0.33276    0.07511   4.431
## 
## Correlation of Fixed Effects:
##             (Intr) IT     trtmnW
## IT          -0.996              
## trtmntWghtd -0.309  0.308       
## IT:trtmntWg  0.310 -0.312 -0.996
ma4 <- update(ma3.1, .~. - visitNum_centered )
anova(ma3.1, ma4) #keep ma3.1
## Data: newdf3
## Models:
## ma3.1: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
## ma4: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
##       Df    AIC    BIC logLik deviance Chisq Chi Df Pr(>Chisq)
## ma3.1  6 4541.9 4576.5  -2265   4529.9                        
## ma4    6 4541.9 4576.5  -2265   4529.9     0      0          1
summary(ma3.1)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##   4541.9   4576.5  -2265.0   4529.9     2354 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0202 -0.5393  0.1093  0.6834  2.6666 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.07006  0.2647  
##  Residual             0.38402  0.6197  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                      Estimate Std. Error t value
## (Intercept)           2.63056    0.56952   4.619
## IT                    0.05660    0.14315   0.395
## treatmentWeighted    -1.60343    0.30014  -5.342
## IT:treatmentWeighted  0.33276    0.07511   4.431
## 
## Correlation of Fixed Effects:
##             (Intr) IT     trtmnW
## IT          -0.996              
## trtmntWghtd -0.309  0.308       
## IT:trtmntWg  0.310 -0.312 -0.996
m3.2 <- update(ma3.1, .~ . + I(scale(visitNum_centered)) + I(scale(visitNum_centered^2)) + (1|beeID))
summary(m3.2)
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## log(amp_acc) ~ IT + treatment + (1 | beeID) + I(scale(visitNum_centered)) +  
##     I(scale(visitNum_centered^2)) + IT:treatment
##    Data: newdf3
## 
##      AIC      BIC   logLik deviance df.resid 
##   4539.1   4585.2  -2261.5   4523.1     2352 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0308 -0.5413  0.1154  0.6887  2.6758 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.06929  0.2632  
##  Residual             0.38294  0.6188  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                               Estimate Std. Error t value
## (Intercept)                    2.56721    0.56770   4.522
## IT                             0.07536    0.14273   0.528
## treatmentWeighted             -1.41125    0.30921  -4.564
## I(scale(visitNum_centered))    0.03784    0.01705   2.219
## I(scale(visitNum_centered^2))  0.00129    0.01797   0.072
## IT:treatmentWeighted           0.28096    0.07774   3.614
## 
## Correlation of Fixed Effects:
##             (Intr) IT     trtmnW I((N_) I((N_^
## IT          -0.996                            
## trtmntWghtd -0.307  0.309                     
## I(scl(vN_)) -0.057  0.062  0.164              
## I(sc(N_^2))  0.038 -0.035  0.074 -0.511       
## IT:trtmntWg  0.308 -0.311 -0.996 -0.177 -0.076
anova(ma3.1, m3.2) # keep ma3.1 (according to BIC)
## Data: newdf3
## Models:
## ma3.1: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
## m3.2: log(amp_acc) ~ IT + treatment + (1 | beeID) + I(scale(visitNum_centered)) + 
## m3.2:     I(scale(visitNum_centered^2)) + IT:treatment
##       Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)  
## ma3.1  6 4541.9 4576.5 -2265.0   4529.9                           
## m3.2   8 4539.1 4585.2 -2261.5   4523.1 6.8821      2    0.03203 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
finmod <- update(ma3.1, .~., REML = TRUE)
summary(finmod)
## Linear mixed model fit by REML ['lmerMod']
## Formula: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
##    Data: newdf3
## 
## REML criterion at convergence: 4545.1
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0179 -0.5395  0.1071  0.6826  2.6697 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.07463  0.2732  
##  Residual             0.38434  0.6200  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                      Estimate Std. Error t value
## (Intercept)           2.63087    0.58488   4.498
## IT                    0.05653    0.14700   0.385
## treatmentWeighted    -1.60422    0.30031  -5.342
## IT:treatmentWeighted  0.33294    0.07515   4.430
## 
## Correlation of Fixed Effects:
##             (Intr) IT     trtmnW
## IT          -0.996              
## trtmntWghtd -0.301  0.300       
## IT:trtmntWg  0.302 -0.303 -0.996
# finmod_centered <- update(ma3.1, .~. - IT*treatment + I(scale(IT, center = TRUE, scale = FALSE))*treatment, REML = TRUE)
# summary(finmod_centered)


# get p-value for interaction for paper
pvalMod <- update(ma3.1, .~.  - IT:treatment)
anova(ma3.1, pvalMod)
## Data: newdf3
## Models:
## pvalMod: log(amp_acc) ~ IT + treatment + (1 | beeID)
## ma3.1: log(amp_acc) ~ IT + treatment + (1 | beeID) + IT:treatment
##         Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)    
## pvalMod  5 4559.5 4588.3 -2274.8   4549.5                             
## ma3.1    6 4541.9 4576.5 -2265.0   4529.9 19.545      1  9.826e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
# diagnostics
plot(finmod)

qqnorm(ranef(finmod)$beeID[[1]])
qqline(ranef(finmod)$beeID[[1]])

sjp.lmer(finmod) # plot random effects to find any outliers
## Plotting random effects...

sjp.lmer(finmod, type = 'fe', sort = TRUE, p.kr = FALSE) # plot fixed effects
## Computing p-values via Wald-statistics approximation (treating t as Wald z).

Bootstrap CI’s for amplitude for figure for paper

# set number of bootstrap replicates for models
nbootSims2 = 10000

# using hive 3, since it's the one with the most data
pframe <- expand.grid(trt2 = levels(droplevels(newdf3$trt2)),
                     IT = c(ITmean, seq(min(newdf3$IT), max(newdf3$IT), length.out = 50)),
                     visitNum_centered = -50:50, 
                     hive = factor(3, levels = levels(newdf3$hive)),  
                     beeID = 99999, 
                     treatment = levels(droplevels(newdf3$treatment)))
pframe$amp_acc <- 0


pframe2 <- pframe[(pframe$trt2 == "Sham first" &
                    pframe$treatment == "Sham" & 
                    pframe$visitNum_centered < 0) |
                    (pframe$trt2 == "Sham first" &
                    pframe$treatment == "Weighted" & 
                    pframe$visitNum_centered > 0) |
                    (pframe$trt2 == "Weighted first" &
                    pframe$treatment == "Weighted" & 
                    pframe$visitNum_centered < 0) |
                    (pframe$trt2 == "Weighted first" &
                    pframe$treatment == "Sham" & 
                    pframe$visitNum_centered > 0) 
                    , ]
# exponentiate to put on original scale
pp <- exp(predict(finmod, newdata = pframe2, re.form=NA, type = 'response')) # re.form sets all random effects to 0


### Calculate CI's (using bootstrap, not accounting for random effects)
bb2 <- bootMer(finmod, FUN=function(x) predict(x, pframe2, re.form=NA, type = 'response'), nsim = nbootSims2)
## Warning in optwrap(object@optinfo$optimizer, ff, x0, lower = lower, control
## = control$optCtrl, : convergence code 3 from bobyqa: bobyqa -- a trust
## region step failed to reduce q

## Warning in optwrap(object@optinfo$optimizer, ff, x0, lower = lower, control
## = control$optCtrl, : convergence code 3 from bobyqa: bobyqa -- a trust
## region step failed to reduce q
print(paste("Number of bootstrap samples", nrow(bb2$t)))
## [1] "Number of bootstrap samples 10000"
bb2_se <-apply(bb2$t,2,function(x) quantile(x, probs = c(0.025, 0.975)))
pframe2$blo<- exp(bb2_se[1,]) # exponentiate to put on original scale
pframe2$bhi<- exp(bb2_se[2,])
pframe2$predMean <- pp
pframe2
##                 trt2       IT visitNum_centered hive beeID treatment
## 1         Sham first 3.965833               -50    3 99999      Sham
## 3         Sham first 3.120000               -50    3 99999      Sham
## 5         Sham first 3.154490               -50    3 99999      Sham
## 7         Sham first 3.188980               -50    3 99999      Sham
## 9         Sham first 3.223469               -50    3 99999      Sham
## 11        Sham first 3.257959               -50    3 99999      Sham
## 13        Sham first 3.292449               -50    3 99999      Sham
## 15        Sham first 3.326939               -50    3 99999      Sham
## 17        Sham first 3.361429               -50    3 99999      Sham
## 19        Sham first 3.395918               -50    3 99999      Sham
## 21        Sham first 3.430408               -50    3 99999      Sham
## 23        Sham first 3.464898               -50    3 99999      Sham
## 25        Sham first 3.499388               -50    3 99999      Sham
## 27        Sham first 3.533878               -50    3 99999      Sham
## 29        Sham first 3.568367               -50    3 99999      Sham
## 31        Sham first 3.602857               -50    3 99999      Sham
## 33        Sham first 3.637347               -50    3 99999      Sham
## 35        Sham first 3.671837               -50    3 99999      Sham
## 37        Sham first 3.706327               -50    3 99999      Sham
## 39        Sham first 3.740816               -50    3 99999      Sham
## 41        Sham first 3.775306               -50    3 99999      Sham
## 43        Sham first 3.809796               -50    3 99999      Sham
## 45        Sham first 3.844286               -50    3 99999      Sham
## 47        Sham first 3.878776               -50    3 99999      Sham
## 49        Sham first 3.913265               -50    3 99999      Sham
## 51        Sham first 3.947755               -50    3 99999      Sham
## 53        Sham first 3.982245               -50    3 99999      Sham
## 55        Sham first 4.016735               -50    3 99999      Sham
## 57        Sham first 4.051224               -50    3 99999      Sham
## 59        Sham first 4.085714               -50    3 99999      Sham
## 61        Sham first 4.120204               -50    3 99999      Sham
## 63        Sham first 4.154694               -50    3 99999      Sham
## 65        Sham first 4.189184               -50    3 99999      Sham
## 67        Sham first 4.223673               -50    3 99999      Sham
## 69        Sham first 4.258163               -50    3 99999      Sham
## 71        Sham first 4.292653               -50    3 99999      Sham
## 73        Sham first 4.327143               -50    3 99999      Sham
## 75        Sham first 4.361633               -50    3 99999      Sham
## 77        Sham first 4.396122               -50    3 99999      Sham
## 79        Sham first 4.430612               -50    3 99999      Sham
## 81        Sham first 4.465102               -50    3 99999      Sham
## 83        Sham first 4.499592               -50    3 99999      Sham
## 85        Sham first 4.534082               -50    3 99999      Sham
## 87        Sham first 4.568571               -50    3 99999      Sham
## 89        Sham first 4.603061               -50    3 99999      Sham
## 91        Sham first 4.637551               -50    3 99999      Sham
## 93        Sham first 4.672041               -50    3 99999      Sham
## 95        Sham first 4.706531               -50    3 99999      Sham
## 97        Sham first 4.741020               -50    3 99999      Sham
## 99        Sham first 4.775510               -50    3 99999      Sham
## 101       Sham first 4.810000               -50    3 99999      Sham
## 103       Sham first 3.965833               -49    3 99999      Sham
## 105       Sham first 3.120000               -49    3 99999      Sham
## 107       Sham first 3.154490               -49    3 99999      Sham
## 109       Sham first 3.188980               -49    3 99999      Sham
## 111       Sham first 3.223469               -49    3 99999      Sham
## 113       Sham first 3.257959               -49    3 99999      Sham
## 115       Sham first 3.292449               -49    3 99999      Sham
## 117       Sham first 3.326939               -49    3 99999      Sham
## 119       Sham first 3.361429               -49    3 99999      Sham
## 121       Sham first 3.395918               -49    3 99999      Sham
## 123       Sham first 3.430408               -49    3 99999      Sham
## 125       Sham first 3.464898               -49    3 99999      Sham
## 127       Sham first 3.499388               -49    3 99999      Sham
## 129       Sham first 3.533878               -49    3 99999      Sham
## 131       Sham first 3.568367               -49    3 99999      Sham
## 133       Sham first 3.602857               -49    3 99999      Sham
## 135       Sham first 3.637347               -49    3 99999      Sham
## 137       Sham first 3.671837               -49    3 99999      Sham
## 139       Sham first 3.706327               -49    3 99999      Sham
## 141       Sham first 3.740816               -49    3 99999      Sham
## 143       Sham first 3.775306               -49    3 99999      Sham
## 145       Sham first 3.809796               -49    3 99999      Sham
## 147       Sham first 3.844286               -49    3 99999      Sham
## 149       Sham first 3.878776               -49    3 99999      Sham
## 151       Sham first 3.913265               -49    3 99999      Sham
## 153       Sham first 3.947755               -49    3 99999      Sham
## 155       Sham first 3.982245               -49    3 99999      Sham
## 157       Sham first 4.016735               -49    3 99999      Sham
## 159       Sham first 4.051224               -49    3 99999      Sham
## 161       Sham first 4.085714               -49    3 99999      Sham
## 163       Sham first 4.120204               -49    3 99999      Sham
## 165       Sham first 4.154694               -49    3 99999      Sham
## 167       Sham first 4.189184               -49    3 99999      Sham
## 169       Sham first 4.223673               -49    3 99999      Sham
## 171       Sham first 4.258163               -49    3 99999      Sham
## 173       Sham first 4.292653               -49    3 99999      Sham
## 175       Sham first 4.327143               -49    3 99999      Sham
## 177       Sham first 4.361633               -49    3 99999      Sham
## 179       Sham first 4.396122               -49    3 99999      Sham
## 181       Sham first 4.430612               -49    3 99999      Sham
## 183       Sham first 4.465102               -49    3 99999      Sham
## 185       Sham first 4.499592               -49    3 99999      Sham
## 187       Sham first 4.534082               -49    3 99999      Sham
## 189       Sham first 4.568571               -49    3 99999      Sham
## 191       Sham first 4.603061               -49    3 99999      Sham
## 193       Sham first 4.637551               -49    3 99999      Sham
## 195       Sham first 4.672041               -49    3 99999      Sham
## 197       Sham first 4.706531               -49    3 99999      Sham
## 199       Sham first 4.741020               -49    3 99999      Sham
## 201       Sham first 4.775510               -49    3 99999      Sham
## 203       Sham first 4.810000               -49    3 99999      Sham
## 205       Sham first 3.965833               -48    3 99999      Sham
## 207       Sham first 3.120000               -48    3 99999      Sham
## 209       Sham first 3.154490               -48    3 99999      Sham
## 211       Sham first 3.188980               -48    3 99999      Sham
## 213       Sham first 3.223469               -48    3 99999      Sham
## 215       Sham first 3.257959               -48    3 99999      Sham
## 217       Sham first 3.292449               -48    3 99999      Sham
## 219       Sham first 3.326939               -48    3 99999      Sham
## 221       Sham first 3.361429               -48    3 99999      Sham
## 223       Sham first 3.395918               -48    3 99999      Sham
## 225       Sham first 3.430408               -48    3 99999      Sham
## 227       Sham first 3.464898               -48    3 99999      Sham
## 229       Sham first 3.499388               -48    3 99999      Sham
## 231       Sham first 3.533878               -48    3 99999      Sham
## 233       Sham first 3.568367               -48    3 99999      Sham
## 235       Sham first 3.602857               -48    3 99999      Sham
## 237       Sham first 3.637347               -48    3 99999      Sham
## 239       Sham first 3.671837               -48    3 99999      Sham
## 241       Sham first 3.706327               -48    3 99999      Sham
## 243       Sham first 3.740816               -48    3 99999      Sham
## 245       Sham first 3.775306               -48    3 99999      Sham
## 247       Sham first 3.809796               -48    3 99999      Sham
## 249       Sham first 3.844286               -48    3 99999      Sham
## 251       Sham first 3.878776               -48    3 99999      Sham
## 253       Sham first 3.913265               -48    3 99999      Sham
## 255       Sham first 3.947755               -48    3 99999      Sham
## 257       Sham first 3.982245               -48    3 99999      Sham
## 259       Sham first 4.016735               -48    3 99999      Sham
## 261       Sham first 4.051224               -48    3 99999      Sham
## 263       Sham first 4.085714               -48    3 99999      Sham
## 265       Sham first 4.120204               -48    3 99999      Sham
## 267       Sham first 4.154694               -48    3 99999      Sham
## 269       Sham first 4.189184               -48    3 99999      Sham
## 271       Sham first 4.223673               -48    3 99999      Sham
## 273       Sham first 4.258163               -48    3 99999      Sham
## 275       Sham first 4.292653               -48    3 99999      Sham
## 277       Sham first 4.327143               -48    3 99999      Sham
## 279       Sham first 4.361633               -48    3 99999      Sham
## 281       Sham first 4.396122               -48    3 99999      Sham
## 283       Sham first 4.430612               -48    3 99999      Sham
## 285       Sham first 4.465102               -48    3 99999      Sham
## 287       Sham first 4.499592               -48    3 99999      Sham
## 289       Sham first 4.534082               -48    3 99999      Sham
## 291       Sham first 4.568571               -48    3 99999      Sham
## 293       Sham first 4.603061               -48    3 99999      Sham
## 295       Sham first 4.637551               -48    3 99999      Sham
## 297       Sham first 4.672041               -48    3 99999      Sham
## 299       Sham first 4.706531               -48    3 99999      Sham
## 301       Sham first 4.741020               -48    3 99999      Sham
## 303       Sham first 4.775510               -48    3 99999      Sham
## 305       Sham first 4.810000               -48    3 99999      Sham
## 307       Sham first 3.965833               -47    3 99999      Sham
## 309       Sham first 3.120000               -47    3 99999      Sham
## 311       Sham first 3.154490               -47    3 99999      Sham
## 313       Sham first 3.188980               -47    3 99999      Sham
## 315       Sham first 3.223469               -47    3 99999      Sham
## 317       Sham first 3.257959               -47    3 99999      Sham
## 319       Sham first 3.292449               -47    3 99999      Sham
## 321       Sham first 3.326939               -47    3 99999      Sham
## 323       Sham first 3.361429               -47    3 99999      Sham
## 325       Sham first 3.395918               -47    3 99999      Sham
## 327       Sham first 3.430408               -47    3 99999      Sham
## 329       Sham first 3.464898               -47    3 99999      Sham
## 331       Sham first 3.499388               -47    3 99999      Sham
## 333       Sham first 3.533878               -47    3 99999      Sham
## 335       Sham first 3.568367               -47    3 99999      Sham
## 337       Sham first 3.602857               -47    3 99999      Sham
## 339       Sham first 3.637347               -47    3 99999      Sham
## 341       Sham first 3.671837               -47    3 99999      Sham
## 343       Sham first 3.706327               -47    3 99999      Sham
## 345       Sham first 3.740816               -47    3 99999      Sham
## 347       Sham first 3.775306               -47    3 99999      Sham
## 349       Sham first 3.809796               -47    3 99999      Sham
## 351       Sham first 3.844286               -47    3 99999      Sham
## 353       Sham first 3.878776               -47    3 99999      Sham
## 355       Sham first 3.913265               -47    3 99999      Sham
## 357       Sham first 3.947755               -47    3 99999      Sham
## 359       Sham first 3.982245               -47    3 99999      Sham
## 361       Sham first 4.016735               -47    3 99999      Sham
## 363       Sham first 4.051224               -47    3 99999      Sham
## 365       Sham first 4.085714               -47    3 99999      Sham
## 367       Sham first 4.120204               -47    3 99999      Sham
## 369       Sham first 4.154694               -47    3 99999      Sham
## 371       Sham first 4.189184               -47    3 99999      Sham
## 373       Sham first 4.223673               -47    3 99999      Sham
## 375       Sham first 4.258163               -47    3 99999      Sham
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## 471       Sham first 4.154694               -46    3 99999      Sham
## 473       Sham first 4.189184               -46    3 99999      Sham
## 475       Sham first 4.223673               -46    3 99999      Sham
## 477       Sham first 4.258163               -46    3 99999      Sham
## 479       Sham first 4.292653               -46    3 99999      Sham
## 481       Sham first 4.327143               -46    3 99999      Sham
## 483       Sham first 4.361633               -46    3 99999      Sham
## 485       Sham first 4.396122               -46    3 99999      Sham
## 487       Sham first 4.430612               -46    3 99999      Sham
## 489       Sham first 4.465102               -46    3 99999      Sham
## 491       Sham first 4.499592               -46    3 99999      Sham
## 493       Sham first 4.534082               -46    3 99999      Sham
## 495       Sham first 4.568571               -46    3 99999      Sham
## 497       Sham first 4.603061               -46    3 99999      Sham
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## 503       Sham first 4.706531               -46    3 99999      Sham
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## 515       Sham first 3.154490               -45    3 99999      Sham
## 517       Sham first 3.188980               -45    3 99999      Sham
## 519       Sham first 3.223469               -45    3 99999      Sham
## 521       Sham first 3.257959               -45    3 99999      Sham
## 523       Sham first 3.292449               -45    3 99999      Sham
## 525       Sham first 3.326939               -45    3 99999      Sham
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## 529       Sham first 3.395918               -45    3 99999      Sham
## 531       Sham first 3.430408               -45    3 99999      Sham
## 533       Sham first 3.464898               -45    3 99999      Sham
## 535       Sham first 3.499388               -45    3 99999      Sham
## 537       Sham first 3.533878               -45    3 99999      Sham
## 539       Sham first 3.568367               -45    3 99999      Sham
## 541       Sham first 3.602857               -45    3 99999      Sham
## 543       Sham first 3.637347               -45    3 99999      Sham
## 545       Sham first 3.671837               -45    3 99999      Sham
## 547       Sham first 3.706327               -45    3 99999      Sham
## 549       Sham first 3.740816               -45    3 99999      Sham
## 551       Sham first 3.775306               -45    3 99999      Sham
## 553       Sham first 3.809796               -45    3 99999      Sham
## 555       Sham first 3.844286               -45    3 99999      Sham
## 557       Sham first 3.878776               -45    3 99999      Sham
## 559       Sham first 3.913265               -45    3 99999      Sham
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## 565       Sham first 4.016735               -45    3 99999      Sham
## 567       Sham first 4.051224               -45    3 99999      Sham
## 569       Sham first 4.085714               -45    3 99999      Sham
## 571       Sham first 4.120204               -45    3 99999      Sham
## 573       Sham first 4.154694               -45    3 99999      Sham
## 575       Sham first 4.189184               -45    3 99999      Sham
## 577       Sham first 4.223673               -45    3 99999      Sham
## 579       Sham first 4.258163               -45    3 99999      Sham
## 581       Sham first 4.292653               -45    3 99999      Sham
## 583       Sham first 4.327143               -45    3 99999      Sham
## 585       Sham first 4.361633               -45    3 99999      Sham
## 587       Sham first 4.396122               -45    3 99999      Sham
## 589       Sham first 4.430612               -45    3 99999      Sham
## 591       Sham first 4.465102               -45    3 99999      Sham
## 593       Sham first 4.499592               -45    3 99999      Sham
## 595       Sham first 4.534082               -45    3 99999      Sham
## 597       Sham first 4.568571               -45    3 99999      Sham
## 599       Sham first 4.603061               -45    3 99999      Sham
## 601       Sham first 4.637551               -45    3 99999      Sham
## 603       Sham first 4.672041               -45    3 99999      Sham
## 605       Sham first 4.706531               -45    3 99999      Sham
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## 611       Sham first 4.810000               -45    3 99999      Sham
## 613       Sham first 3.965833               -44    3 99999      Sham
## 615       Sham first 3.120000               -44    3 99999      Sham
## 617       Sham first 3.154490               -44    3 99999      Sham
## 619       Sham first 3.188980               -44    3 99999      Sham
## 621       Sham first 3.223469               -44    3 99999      Sham
## 623       Sham first 3.257959               -44    3 99999      Sham
## 625       Sham first 3.292449               -44    3 99999      Sham
## 627       Sham first 3.326939               -44    3 99999      Sham
## 629       Sham first 3.361429               -44    3 99999      Sham
## 631       Sham first 3.395918               -44    3 99999      Sham
## 633       Sham first 3.430408               -44    3 99999      Sham
## 635       Sham first 3.464898               -44    3 99999      Sham
## 637       Sham first 3.499388               -44    3 99999      Sham
## 639       Sham first 3.533878               -44    3 99999      Sham
## 641       Sham first 3.568367               -44    3 99999      Sham
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## 677       Sham first 4.189184               -44    3 99999      Sham
## 679       Sham first 4.223673               -44    3 99999      Sham
## 681       Sham first 4.258163               -44    3 99999      Sham
## 683       Sham first 4.292653               -44    3 99999      Sham
## 685       Sham first 4.327143               -44    3 99999      Sham
## 687       Sham first 4.361633               -44    3 99999      Sham
## 689       Sham first 4.396122               -44    3 99999      Sham
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## 721       Sham first 3.188980               -43    3 99999      Sham
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## 725       Sham first 3.257959               -43    3 99999      Sham
## 727       Sham first 3.292449               -43    3 99999      Sham
## 729       Sham first 3.326939               -43    3 99999      Sham
## 731       Sham first 3.361429               -43    3 99999      Sham
## 733       Sham first 3.395918               -43    3 99999      Sham
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## 737       Sham first 3.464898               -43    3 99999      Sham
## 739       Sham first 3.499388               -43    3 99999      Sham
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## 745       Sham first 3.602857               -43    3 99999      Sham
## 747       Sham first 3.637347               -43    3 99999      Sham
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## 751       Sham first 3.706327               -43    3 99999      Sham
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## 757       Sham first 3.809796               -43    3 99999      Sham
## 759       Sham first 3.844286               -43    3 99999      Sham
## 761       Sham first 3.878776               -43    3 99999      Sham
## 763       Sham first 3.913265               -43    3 99999      Sham
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## 773       Sham first 4.085714               -43    3 99999      Sham
## 775       Sham first 4.120204               -43    3 99999      Sham
## 777       Sham first 4.154694               -43    3 99999      Sham
## 779       Sham first 4.189184               -43    3 99999      Sham
## 781       Sham first 4.223673               -43    3 99999      Sham
## 783       Sham first 4.258163               -43    3 99999      Sham
## 785       Sham first 4.292653               -43    3 99999      Sham
## 787       Sham first 4.327143               -43    3 99999      Sham
## 789       Sham first 4.361633               -43    3 99999      Sham
## 791       Sham first 4.396122               -43    3 99999      Sham
## 793       Sham first 4.430612               -43    3 99999      Sham
## 795       Sham first 4.465102               -43    3 99999      Sham
## 797       Sham first 4.499592               -43    3 99999      Sham
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## 801       Sham first 4.568571               -43    3 99999      Sham
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## 805       Sham first 4.637551               -43    3 99999      Sham
## 807       Sham first 4.672041               -43    3 99999      Sham
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## 817       Sham first 3.965833               -42    3 99999      Sham
## 819       Sham first 3.120000               -42    3 99999      Sham
## 821       Sham first 3.154490               -42    3 99999      Sham
## 823       Sham first 3.188980               -42    3 99999      Sham
## 825       Sham first 3.223469               -42    3 99999      Sham
## 827       Sham first 3.257959               -42    3 99999      Sham
## 829       Sham first 3.292449               -42    3 99999      Sham
## 831       Sham first 3.326939               -42    3 99999      Sham
## 833       Sham first 3.361429               -42    3 99999      Sham
## 835       Sham first 3.395918               -42    3 99999      Sham
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## 839       Sham first 3.464898               -42    3 99999      Sham
## 841       Sham first 3.499388               -42    3 99999      Sham
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## 877       Sham first 4.120204               -42    3 99999      Sham
## 879       Sham first 4.154694               -42    3 99999      Sham
## 881       Sham first 4.189184               -42    3 99999      Sham
## 883       Sham first 4.223673               -42    3 99999      Sham
## 885       Sham first 4.258163               -42    3 99999      Sham
## 887       Sham first 4.292653               -42    3 99999      Sham
## 889       Sham first 4.327143               -42    3 99999      Sham
## 891       Sham first 4.361633               -42    3 99999      Sham
## 893       Sham first 4.396122               -42    3 99999      Sham
## 895       Sham first 4.430612               -42    3 99999      Sham
## 897       Sham first 4.465102               -42    3 99999      Sham
## 899       Sham first 4.499592               -42    3 99999      Sham
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## 929       Sham first 3.257959               -41    3 99999      Sham
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## 1027      Sham first 3.188980               -40    3 99999      Sham
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## 1031      Sham first 3.257959               -40    3 99999      Sham
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## 1073      Sham first 3.982245               -40    3 99999      Sham
## 1075      Sham first 4.016735               -40    3 99999      Sham
## 1077      Sham first 4.051224               -40    3 99999      Sham
## 1079      Sham first 4.085714               -40    3 99999      Sham
## 1081      Sham first 4.120204               -40    3 99999      Sham
## 1083      Sham first 4.154694               -40    3 99999      Sham
## 1085      Sham first 4.189184               -40    3 99999      Sham
## 1087      Sham first 4.223673               -40    3 99999      Sham
## 1089      Sham first 4.258163               -40    3 99999      Sham
## 1091      Sham first 4.292653               -40    3 99999      Sham
## 1093      Sham first 4.327143               -40    3 99999      Sham
## 1095      Sham first 4.361633               -40    3 99999      Sham
## 1097      Sham first 4.396122               -40    3 99999      Sham
## 1099      Sham first 4.430612               -40    3 99999      Sham
## 1101      Sham first 4.465102               -40    3 99999      Sham
## 1103      Sham first 4.499592               -40    3 99999      Sham
## 1105      Sham first 4.534082               -40    3 99999      Sham
## 1107      Sham first 4.568571               -40    3 99999      Sham
## 1109      Sham first 4.603061               -40    3 99999      Sham
## 1111      Sham first 4.637551               -40    3 99999      Sham
## 1113      Sham first 4.672041               -40    3 99999      Sham
## 1115      Sham first 4.706531               -40    3 99999      Sham
## 1117      Sham first 4.741020               -40    3 99999      Sham
## 1119      Sham first 4.775510               -40    3 99999      Sham
## 1121      Sham first 4.810000               -40    3 99999      Sham
## 1123      Sham first 3.965833               -39    3 99999      Sham
## 1125      Sham first 3.120000               -39    3 99999      Sham
## 1127      Sham first 3.154490               -39    3 99999      Sham
## 1129      Sham first 3.188980               -39    3 99999      Sham
## 1131      Sham first 3.223469               -39    3 99999      Sham
## 1133      Sham first 3.257959               -39    3 99999      Sham
## 1135      Sham first 3.292449               -39    3 99999      Sham
## 1137      Sham first 3.326939               -39    3 99999      Sham
## 1139      Sham first 3.361429               -39    3 99999      Sham
## 1141      Sham first 3.395918               -39    3 99999      Sham
## 1143      Sham first 3.430408               -39    3 99999      Sham
## 1145      Sham first 3.464898               -39    3 99999      Sham
## 1147      Sham first 3.499388               -39    3 99999      Sham
## 1149      Sham first 3.533878               -39    3 99999      Sham
## 1151      Sham first 3.568367               -39    3 99999      Sham
## 1153      Sham first 3.602857               -39    3 99999      Sham
## 1155      Sham first 3.637347               -39    3 99999      Sham
## 1157      Sham first 3.671837               -39    3 99999      Sham
## 1159      Sham first 3.706327               -39    3 99999      Sham
## 1161      Sham first 3.740816               -39    3 99999      Sham
## 1163      Sham first 3.775306               -39    3 99999      Sham
## 1165      Sham first 3.809796               -39    3 99999      Sham
## 1167      Sham first 3.844286               -39    3 99999      Sham
## 1169      Sham first 3.878776               -39    3 99999      Sham
## 1171      Sham first 3.913265               -39    3 99999      Sham
## 1173      Sham first 3.947755               -39    3 99999      Sham
## 1175      Sham first 3.982245               -39    3 99999      Sham
## 1177      Sham first 4.016735               -39    3 99999      Sham
## 1179      Sham first 4.051224               -39    3 99999      Sham
## 1181      Sham first 4.085714               -39    3 99999      Sham
## 1183      Sham first 4.120204               -39    3 99999      Sham
## 1185      Sham first 4.154694               -39    3 99999      Sham
## 1187      Sham first 4.189184               -39    3 99999      Sham
## 1189      Sham first 4.223673               -39    3 99999      Sham
## 1191      Sham first 4.258163               -39    3 99999      Sham
## 1193      Sham first 4.292653               -39    3 99999      Sham
## 1195      Sham first 4.327143               -39    3 99999      Sham
## 1197      Sham first 4.361633               -39    3 99999      Sham
## 1199      Sham first 4.396122               -39    3 99999      Sham
## 1201      Sham first 4.430612               -39    3 99999      Sham
## 1203      Sham first 4.465102               -39    3 99999      Sham
## 1205      Sham first 4.499592               -39    3 99999      Sham
## 1207      Sham first 4.534082               -39    3 99999      Sham
## 1209      Sham first 4.568571               -39    3 99999      Sham
## 1211      Sham first 4.603061               -39    3 99999      Sham
## 1213      Sham first 4.637551               -39    3 99999      Sham
## 1215      Sham first 4.672041               -39    3 99999      Sham
## 1217      Sham first 4.706531               -39    3 99999      Sham
## 1219      Sham first 4.741020               -39    3 99999      Sham
## 1221      Sham first 4.775510               -39    3 99999      Sham
## 1223      Sham first 4.810000               -39    3 99999      Sham
## 1225      Sham first 3.965833               -38    3 99999      Sham
## 1227      Sham first 3.120000               -38    3 99999      Sham
## 1229      Sham first 3.154490               -38    3 99999      Sham
## 1231      Sham first 3.188980               -38    3 99999      Sham
## 1233      Sham first 3.223469               -38    3 99999      Sham
## 1235      Sham first 3.257959               -38    3 99999      Sham
## 1237      Sham first 3.292449               -38    3 99999      Sham
## 1239      Sham first 3.326939               -38    3 99999      Sham
## 1241      Sham first 3.361429               -38    3 99999      Sham
## 1243      Sham first 3.395918               -38    3 99999      Sham
## 1245      Sham first 3.430408               -38    3 99999      Sham
## 1247      Sham first 3.464898               -38    3 99999      Sham
## 1249      Sham first 3.499388               -38    3 99999      Sham
## 1251      Sham first 3.533878               -38    3 99999      Sham
## 1253      Sham first 3.568367               -38    3 99999      Sham
## 1255      Sham first 3.602857               -38    3 99999      Sham
## 1257      Sham first 3.637347               -38    3 99999      Sham
## 1259      Sham first 3.671837               -38    3 99999      Sham
## 1261      Sham first 3.706327               -38    3 99999      Sham
## 1263      Sham first 3.740816               -38    3 99999      Sham
## 1265      Sham first 3.775306               -38    3 99999      Sham
## 1267      Sham first 3.809796               -38    3 99999      Sham
## 1269      Sham first 3.844286               -38    3 99999      Sham
## 1271      Sham first 3.878776               -38    3 99999      Sham
## 1273      Sham first 3.913265               -38    3 99999      Sham
## 1275      Sham first 3.947755               -38    3 99999      Sham
## 1277      Sham first 3.982245               -38    3 99999      Sham
## 1279      Sham first 4.016735               -38    3 99999      Sham
## 1281      Sham first 4.051224               -38    3 99999      Sham
## 1283      Sham first 4.085714               -38    3 99999      Sham
## 1285      Sham first 4.120204               -38    3 99999      Sham
## 1287      Sham first 4.154694               -38    3 99999      Sham
## 1289      Sham first 4.189184               -38    3 99999      Sham
## 1291      Sham first 4.223673               -38    3 99999      Sham
## 1293      Sham first 4.258163               -38    3 99999      Sham
## 1295      Sham first 4.292653               -38    3 99999      Sham
## 1297      Sham first 4.327143               -38    3 99999      Sham
## 1299      Sham first 4.361633               -38    3 99999      Sham
## 1301      Sham first 4.396122               -38    3 99999      Sham
## 1303      Sham first 4.430612               -38    3 99999      Sham
## 1305      Sham first 4.465102               -38    3 99999      Sham
## 1307      Sham first 4.499592               -38    3 99999      Sham
## 1309      Sham first 4.534082               -38    3 99999      Sham
## 1311      Sham first 4.568571               -38    3 99999      Sham
## 1313      Sham first 4.603061               -38    3 99999      Sham
## 1315      Sham first 4.637551               -38    3 99999      Sham
## 1317      Sham first 4.672041               -38    3 99999      Sham
## 1319      Sham first 4.706531               -38    3 99999      Sham
## 1321      Sham first 4.741020               -38    3 99999      Sham
## 1323      Sham first 4.775510               -38    3 99999      Sham
## 1325      Sham first 4.810000               -38    3 99999      Sham
## 1327      Sham first 3.965833               -37    3 99999      Sham
## 1329      Sham first 3.120000               -37    3 99999      Sham
## 1331      Sham first 3.154490               -37    3 99999      Sham
## 1333      Sham first 3.188980               -37    3 99999      Sham
## 1335      Sham first 3.223469               -37    3 99999      Sham
## 1337      Sham first 3.257959               -37    3 99999      Sham
## 1339      Sham first 3.292449               -37    3 99999      Sham
## 1341      Sham first 3.326939               -37    3 99999      Sham
## 1343      Sham first 3.361429               -37    3 99999      Sham
## 1345      Sham first 3.395918               -37    3 99999      Sham
## 1347      Sham first 3.430408               -37    3 99999      Sham
## 1349      Sham first 3.464898               -37    3 99999      Sham
## 1351      Sham first 3.499388               -37    3 99999      Sham
## 1353      Sham first 3.533878               -37    3 99999      Sham
## 1355      Sham first 3.568367               -37    3 99999      Sham
## 1357      Sham first 3.602857               -37    3 99999      Sham
## 1359      Sham first 3.637347               -37    3 99999      Sham
## 1361      Sham first 3.671837               -37    3 99999      Sham
## 1363      Sham first 3.706327               -37    3 99999      Sham
## 1365      Sham first 3.740816               -37    3 99999      Sham
## 1367      Sham first 3.775306               -37    3 99999      Sham
## 1369      Sham first 3.809796               -37    3 99999      Sham
## 1371      Sham first 3.844286               -37    3 99999      Sham
## 1373      Sham first 3.878776               -37    3 99999      Sham
## 1375      Sham first 3.913265               -37    3 99999      Sham
## 1377      Sham first 3.947755               -37    3 99999      Sham
## 1379      Sham first 3.982245               -37    3 99999      Sham
## 1381      Sham first 4.016735               -37    3 99999      Sham
## 1383      Sham first 4.051224               -37    3 99999      Sham
## 1385      Sham first 4.085714               -37    3 99999      Sham
## 1387      Sham first 4.120204               -37    3 99999      Sham
## 1389      Sham first 4.154694               -37    3 99999      Sham
## 1391      Sham first 4.189184               -37    3 99999      Sham
## 1393      Sham first 4.223673               -37    3 99999      Sham
## 1395      Sham first 4.258163               -37    3 99999      Sham
## 1397      Sham first 4.292653               -37    3 99999      Sham
## 1399      Sham first 4.327143               -37    3 99999      Sham
## 1401      Sham first 4.361633               -37    3 99999      Sham
## 1403      Sham first 4.396122               -37    3 99999      Sham
## 1405      Sham first 4.430612               -37    3 99999      Sham
## 1407      Sham first 4.465102               -37    3 99999      Sham
## 1409      Sham first 4.499592               -37    3 99999      Sham
## 1411      Sham first 4.534082               -37    3 99999      Sham
## 1413      Sham first 4.568571               -37    3 99999      Sham
## 1415      Sham first 4.603061               -37    3 99999      Sham
## 1417      Sham first 4.637551               -37    3 99999      Sham
## 1419      Sham first 4.672041               -37    3 99999      Sham
## 1421      Sham first 4.706531               -37    3 99999      Sham
## 1423      Sham first 4.741020               -37    3 99999      Sham
## 1425      Sham first 4.775510               -37    3 99999      Sham
## 1427      Sham first 4.810000               -37    3 99999      Sham
## 1429      Sham first 3.965833               -36    3 99999      Sham
## 1431      Sham first 3.120000               -36    3 99999      Sham
## 1433      Sham first 3.154490               -36    3 99999      Sham
## 1435      Sham first 3.188980               -36    3 99999      Sham
## 1437      Sham first 3.223469               -36    3 99999      Sham
## 1439      Sham first 3.257959               -36    3 99999      Sham
## 1441      Sham first 3.292449               -36    3 99999      Sham
## 1443      Sham first 3.326939               -36    3 99999      Sham
## 1445      Sham first 3.361429               -36    3 99999      Sham
## 1447      Sham first 3.395918               -36    3 99999      Sham
## 1449      Sham first 3.430408               -36    3 99999      Sham
## 1451      Sham first 3.464898               -36    3 99999      Sham
## 1453      Sham first 3.499388               -36    3 99999      Sham
## 1455      Sham first 3.533878               -36    3 99999      Sham
## 1457      Sham first 3.568367               -36    3 99999      Sham
## 1459      Sham first 3.602857               -36    3 99999      Sham
## 1461      Sham first 3.637347               -36    3 99999      Sham
## 1463      Sham first 3.671837               -36    3 99999      Sham
## 1465      Sham first 3.706327               -36    3 99999      Sham
## 1467      Sham first 3.740816               -36    3 99999      Sham
## 1469      Sham first 3.775306               -36    3 99999      Sham
## 1471      Sham first 3.809796               -36    3 99999      Sham
## 1473      Sham first 3.844286               -36    3 99999      Sham
## 1475      Sham first 3.878776               -36    3 99999      Sham
## 1477      Sham first 3.913265               -36    3 99999      Sham
## 1479      Sham first 3.947755               -36    3 99999      Sham
## 1481      Sham first 3.982245               -36    3 99999      Sham
## 1483      Sham first 4.016735               -36    3 99999      Sham
## 1485      Sham first 4.051224               -36    3 99999      Sham
## 1487      Sham first 4.085714               -36    3 99999      Sham
## 1489      Sham first 4.120204               -36    3 99999      Sham
## 1491      Sham first 4.154694               -36    3 99999      Sham
## 1493      Sham first 4.189184               -36    3 99999      Sham
## 1495      Sham first 4.223673               -36    3 99999      Sham
## 1497      Sham first 4.258163               -36    3 99999      Sham
## 1499      Sham first 4.292653               -36    3 99999      Sham
## 1501      Sham first 4.327143               -36    3 99999      Sham
## 1503      Sham first 4.361633               -36    3 99999      Sham
## 1505      Sham first 4.396122               -36    3 99999      Sham
## 1507      Sham first 4.430612               -36    3 99999      Sham
## 1509      Sham first 4.465102               -36    3 99999      Sham
## 1511      Sham first 4.499592               -36    3 99999      Sham
## 1513      Sham first 4.534082               -36    3 99999      Sham
## 1515      Sham first 4.568571               -36    3 99999      Sham
## 1517      Sham first 4.603061               -36    3 99999      Sham
## 1519      Sham first 4.637551               -36    3 99999      Sham
## 1521      Sham first 4.672041               -36    3 99999      Sham
## 1523      Sham first 4.706531               -36    3 99999      Sham
## 1525      Sham first 4.741020               -36    3 99999      Sham
## 1527      Sham first 4.775510               -36    3 99999      Sham
## 1529      Sham first 4.810000               -36    3 99999      Sham
## 1531      Sham first 3.965833               -35    3 99999      Sham
## 1533      Sham first 3.120000               -35    3 99999      Sham
## 1535      Sham first 3.154490               -35    3 99999      Sham
## 1537      Sham first 3.188980               -35    3 99999      Sham
## 1539      Sham first 3.223469               -35    3 99999      Sham
## 1541      Sham first 3.257959               -35    3 99999      Sham
## 1543      Sham first 3.292449               -35    3 99999      Sham
## 1545      Sham first 3.326939               -35    3 99999      Sham
## 1547      Sham first 3.361429               -35    3 99999      Sham
## 1549      Sham first 3.395918               -35    3 99999      Sham
## 1551      Sham first 3.430408               -35    3 99999      Sham
## 1553      Sham first 3.464898               -35    3 99999      Sham
## 1555      Sham first 3.499388               -35    3 99999      Sham
## 1557      Sham first 3.533878               -35    3 99999      Sham
## 1559      Sham first 3.568367               -35    3 99999      Sham
## 1561      Sham first 3.602857               -35    3 99999      Sham
## 1563      Sham first 3.637347               -35    3 99999      Sham
## 1565      Sham first 3.671837               -35    3 99999      Sham
## 1567      Sham first 3.706327               -35    3 99999      Sham
## 1569      Sham first 3.740816               -35    3 99999      Sham
## 1571      Sham first 3.775306               -35    3 99999      Sham
## 1573      Sham first 3.809796               -35    3 99999      Sham
## 1575      Sham first 3.844286               -35    3 99999      Sham
## 1577      Sham first 3.878776               -35    3 99999      Sham
## 1579      Sham first 3.913265               -35    3 99999      Sham
## 1581      Sham first 3.947755               -35    3 99999      Sham
## 1583      Sham first 3.982245               -35    3 99999      Sham
## 1585      Sham first 4.016735               -35    3 99999      Sham
## 1587      Sham first 4.051224               -35    3 99999      Sham
## 1589      Sham first 4.085714               -35    3 99999      Sham
## 1591      Sham first 4.120204               -35    3 99999      Sham
## 1593      Sham first 4.154694               -35    3 99999      Sham
## 1595      Sham first 4.189184               -35    3 99999      Sham
## 1597      Sham first 4.223673               -35    3 99999      Sham
## 1599      Sham first 4.258163               -35    3 99999      Sham
## 1601      Sham first 4.292653               -35    3 99999      Sham
## 1603      Sham first 4.327143               -35    3 99999      Sham
## 1605      Sham first 4.361633               -35    3 99999      Sham
## 1607      Sham first 4.396122               -35    3 99999      Sham
## 1609      Sham first 4.430612               -35    3 99999      Sham
## 1611      Sham first 4.465102               -35    3 99999      Sham
## 1613      Sham first 4.499592               -35    3 99999      Sham
## 1615      Sham first 4.534082               -35    3 99999      Sham
## 1617      Sham first 4.568571               -35    3 99999      Sham
## 1619      Sham first 4.603061               -35    3 99999      Sham
## 1621      Sham first 4.637551               -35    3 99999      Sham
## 1623      Sham first 4.672041               -35    3 99999      Sham
## 1625      Sham first 4.706531               -35    3 99999      Sham
## 1627      Sham first 4.741020               -35    3 99999      Sham
## 1629      Sham first 4.775510               -35    3 99999      Sham
## 1631      Sham first 4.810000               -35    3 99999      Sham
## 1633      Sham first 3.965833               -34    3 99999      Sham
## 1635      Sham first 3.120000               -34    3 99999      Sham
## 1637      Sham first 3.154490               -34    3 99999      Sham
## 1639      Sham first 3.188980               -34    3 99999      Sham
## 1641      Sham first 3.223469               -34    3 99999      Sham
## 1643      Sham first 3.257959               -34    3 99999      Sham
## 1645      Sham first 3.292449               -34    3 99999      Sham
## 1647      Sham first 3.326939               -34    3 99999      Sham
## 1649      Sham first 3.361429               -34    3 99999      Sham
## 1651      Sham first 3.395918               -34    3 99999      Sham
## 1653      Sham first 3.430408               -34    3 99999      Sham
## 1655      Sham first 3.464898               -34    3 99999      Sham
## 1657      Sham first 3.499388               -34    3 99999      Sham
## 1659      Sham first 3.533878               -34    3 99999      Sham
## 1661      Sham first 3.568367               -34    3 99999      Sham
## 1663      Sham first 3.602857               -34    3 99999      Sham
## 1665      Sham first 3.637347               -34    3 99999      Sham
## 1667      Sham first 3.671837               -34    3 99999      Sham
## 1669      Sham first 3.706327               -34    3 99999      Sham
## 1671      Sham first 3.740816               -34    3 99999      Sham
## 1673      Sham first 3.775306               -34    3 99999      Sham
## 1675      Sham first 3.809796               -34    3 99999      Sham
## 1677      Sham first 3.844286               -34    3 99999      Sham
## 1679      Sham first 3.878776               -34    3 99999      Sham
## 1681      Sham first 3.913265               -34    3 99999      Sham
## 1683      Sham first 3.947755               -34    3 99999      Sham
## 1685      Sham first 3.982245               -34    3 99999      Sham
## 1687      Sham first 4.016735               -34    3 99999      Sham
## 1689      Sham first 4.051224               -34    3 99999      Sham
## 1691      Sham first 4.085714               -34    3 99999      Sham
## 1693      Sham first 4.120204               -34    3 99999      Sham
## 1695      Sham first 4.154694               -34    3 99999      Sham
## 1697      Sham first 4.189184               -34    3 99999      Sham
## 1699      Sham first 4.223673               -34    3 99999      Sham
## 1701      Sham first 4.258163               -34    3 99999      Sham
## 1703      Sham first 4.292653               -34    3 99999      Sham
## 1705      Sham first 4.327143               -34    3 99999      Sham
## 1707      Sham first 4.361633               -34    3 99999      Sham
## 1709      Sham first 4.396122               -34    3 99999      Sham
## 1711      Sham first 4.430612               -34    3 99999      Sham
## 1713      Sham first 4.465102               -34    3 99999      Sham
## 1715      Sham first 4.499592               -34    3 99999      Sham
## 1717      Sham first 4.534082               -34    3 99999      Sham
## 1719      Sham first 4.568571               -34    3 99999      Sham
## 1721      Sham first 4.603061               -34    3 99999      Sham
## 1723      Sham first 4.637551               -34    3 99999      Sham
## 1725      Sham first 4.672041               -34    3 99999      Sham
## 1727      Sham first 4.706531               -34    3 99999      Sham
## 1729      Sham first 4.741020               -34    3 99999      Sham
## 1731      Sham first 4.775510               -34    3 99999      Sham
## 1733      Sham first 4.810000               -34    3 99999      Sham
## 1735      Sham first 3.965833               -33    3 99999      Sham
## 1737      Sham first 3.120000               -33    3 99999      Sham
## 1739      Sham first 3.154490               -33    3 99999      Sham
## 1741      Sham first 3.188980               -33    3 99999      Sham
## 1743      Sham first 3.223469               -33    3 99999      Sham
## 1745      Sham first 3.257959               -33    3 99999      Sham
## 1747      Sham first 3.292449               -33    3 99999      Sham
## 1749      Sham first 3.326939               -33    3 99999      Sham
## 1751      Sham first 3.361429               -33    3 99999      Sham
## 1753      Sham first 3.395918               -33    3 99999      Sham
## 1755      Sham first 3.430408               -33    3 99999      Sham
## 1757      Sham first 3.464898               -33    3 99999      Sham
## 1759      Sham first 3.499388               -33    3 99999      Sham
## 1761      Sham first 3.533878               -33    3 99999      Sham
## 1763      Sham first 3.568367               -33    3 99999      Sham
## 1765      Sham first 3.602857               -33    3 99999      Sham
## 1767      Sham first 3.637347               -33    3 99999      Sham
## 1769      Sham first 3.671837               -33    3 99999      Sham
## 1771      Sham first 3.706327               -33    3 99999      Sham
## 1773      Sham first 3.740816               -33    3 99999      Sham
## 1775      Sham first 3.775306               -33    3 99999      Sham
## 1777      Sham first 3.809796               -33    3 99999      Sham
## 1779      Sham first 3.844286               -33    3 99999      Sham
## 1781      Sham first 3.878776               -33    3 99999      Sham
## 1783      Sham first 3.913265               -33    3 99999      Sham
## 1785      Sham first 3.947755               -33    3 99999      Sham
## 1787      Sham first 3.982245               -33    3 99999      Sham
## 1789      Sham first 4.016735               -33    3 99999      Sham
## 1791      Sham first 4.051224               -33    3 99999      Sham
## 1793      Sham first 4.085714               -33    3 99999      Sham
## 1795      Sham first 4.120204               -33    3 99999      Sham
## 1797      Sham first 4.154694               -33    3 99999      Sham
## 1799      Sham first 4.189184               -33    3 99999      Sham
## 1801      Sham first 4.223673               -33    3 99999      Sham
## 1803      Sham first 4.258163               -33    3 99999      Sham
## 1805      Sham first 4.292653               -33    3 99999      Sham
## 1807      Sham first 4.327143               -33    3 99999      Sham
## 1809      Sham first 4.361633               -33    3 99999      Sham
## 1811      Sham first 4.396122               -33    3 99999      Sham
## 1813      Sham first 4.430612               -33    3 99999      Sham
## 1815      Sham first 4.465102               -33    3 99999      Sham
## 1817      Sham first 4.499592               -33    3 99999      Sham
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## 1821      Sham first 4.568571               -33    3 99999      Sham
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## 1825      Sham first 4.637551               -33    3 99999      Sham
## 1827      Sham first 4.672041               -33    3 99999      Sham
## 1829      Sham first 4.706531               -33    3 99999      Sham
## 1831      Sham first 4.741020               -33    3 99999      Sham
## 1833      Sham first 4.775510               -33    3 99999      Sham
## 1835      Sham first 4.810000               -33    3 99999      Sham
## 1837      Sham first 3.965833               -32    3 99999      Sham
## 1839      Sham first 3.120000               -32    3 99999      Sham
## 1841      Sham first 3.154490               -32    3 99999      Sham
## 1843      Sham first 3.188980               -32    3 99999      Sham
## 1845      Sham first 3.223469               -32    3 99999      Sham
## 1847      Sham first 3.257959               -32    3 99999      Sham
## 1849      Sham first 3.292449               -32    3 99999      Sham
## 1851      Sham first 3.326939               -32    3 99999      Sham
## 1853      Sham first 3.361429               -32    3 99999      Sham
## 1855      Sham first 3.395918               -32    3 99999      Sham
## 1857      Sham first 3.430408               -32    3 99999      Sham
## 1859      Sham first 3.464898               -32    3 99999      Sham
## 1861      Sham first 3.499388               -32    3 99999      Sham
## 1863      Sham first 3.533878               -32    3 99999      Sham
## 1865      Sham first 3.568367               -32    3 99999      Sham
## 1867      Sham first 3.602857               -32    3 99999      Sham
## 1869      Sham first 3.637347               -32    3 99999      Sham
## 1871      Sham first 3.671837               -32    3 99999      Sham
## 1873      Sham first 3.706327               -32    3 99999      Sham
## 1875      Sham first 3.740816               -32    3 99999      Sham
## 1877      Sham first 3.775306               -32    3 99999      Sham
## 1879      Sham first 3.809796               -32    3 99999      Sham
## 1881      Sham first 3.844286               -32    3 99999      Sham
## 1883      Sham first 3.878776               -32    3 99999      Sham
## 1885      Sham first 3.913265               -32    3 99999      Sham
## 1887      Sham first 3.947755               -32    3 99999      Sham
## 1889      Sham first 3.982245               -32    3 99999      Sham
## 1891      Sham first 4.016735               -32    3 99999      Sham
## 1893      Sham first 4.051224               -32    3 99999      Sham
## 1895      Sham first 4.085714               -32    3 99999      Sham
## 1897      Sham first 4.120204               -32    3 99999      Sham
## 1899      Sham first 4.154694               -32    3 99999      Sham
## 1901      Sham first 4.189184               -32    3 99999      Sham
## 1903      Sham first 4.223673               -32    3 99999      Sham
## 1905      Sham first 4.258163               -32    3 99999      Sham
## 1907      Sham first 4.292653               -32    3 99999      Sham
## 1909      Sham first 4.327143               -32    3 99999      Sham
## 1911      Sham first 4.361633               -32    3 99999      Sham
## 1913      Sham first 4.396122               -32    3 99999      Sham
## 1915      Sham first 4.430612               -32    3 99999      Sham
## 1917      Sham first 4.465102               -32    3 99999      Sham
## 1919      Sham first 4.499592               -32    3 99999      Sham
## 1921      Sham first 4.534082               -32    3 99999      Sham
## 1923      Sham first 4.568571               -32    3 99999      Sham
## 1925      Sham first 4.603061               -32    3 99999      Sham
## 1927      Sham first 4.637551               -32    3 99999      Sham
## 1929      Sham first 4.672041               -32    3 99999      Sham
## 1931      Sham first 4.706531               -32    3 99999      Sham
## 1933      Sham first 4.741020               -32    3 99999      Sham
## 1935      Sham first 4.775510               -32    3 99999      Sham
## 1937      Sham first 4.810000               -32    3 99999      Sham
## 1939      Sham first 3.965833               -31    3 99999      Sham
## 1941      Sham first 3.120000               -31    3 99999      Sham
## 1943      Sham first 3.154490               -31    3 99999      Sham
## 1945      Sham first 3.188980               -31    3 99999      Sham
## 1947      Sham first 3.223469               -31    3 99999      Sham
## 1949      Sham first 3.257959               -31    3 99999      Sham
## 1951      Sham first 3.292449               -31    3 99999      Sham
## 1953      Sham first 3.326939               -31    3 99999      Sham
## 1955      Sham first 3.361429               -31    3 99999      Sham
## 1957      Sham first 3.395918               -31    3 99999      Sham
## 1959      Sham first 3.430408               -31    3 99999      Sham
## 1961      Sham first 3.464898               -31    3 99999      Sham
## 1963      Sham first 3.499388               -31    3 99999      Sham
## 1965      Sham first 3.533878               -31    3 99999      Sham
## 1967      Sham first 3.568367               -31    3 99999      Sham
## 1969      Sham first 3.602857               -31    3 99999      Sham
## 1971      Sham first 3.637347               -31    3 99999      Sham
## 1973      Sham first 3.671837               -31    3 99999      Sham
## 1975      Sham first 3.706327               -31    3 99999      Sham
## 1977      Sham first 3.740816               -31    3 99999      Sham
## 1979      Sham first 3.775306               -31    3 99999      Sham
## 1981      Sham first 3.809796               -31    3 99999      Sham
## 1983      Sham first 3.844286               -31    3 99999      Sham
## 1985      Sham first 3.878776               -31    3 99999      Sham
## 1987      Sham first 3.913265               -31    3 99999      Sham
## 1989      Sham first 3.947755               -31    3 99999      Sham
## 1991      Sham first 3.982245               -31    3 99999      Sham
## 1993      Sham first 4.016735               -31    3 99999      Sham
## 1995      Sham first 4.051224               -31    3 99999      Sham
## 1997      Sham first 4.085714               -31    3 99999      Sham
## 1999      Sham first 4.120204               -31    3 99999      Sham
## 2001      Sham first 4.154694               -31    3 99999      Sham
## 2003      Sham first 4.189184               -31    3 99999      Sham
## 2005      Sham first 4.223673               -31    3 99999      Sham
## 2007      Sham first 4.258163               -31    3 99999      Sham
## 2009      Sham first 4.292653               -31    3 99999      Sham
## 2011      Sham first 4.327143               -31    3 99999      Sham
## 2013      Sham first 4.361633               -31    3 99999      Sham
## 2015      Sham first 4.396122               -31    3 99999      Sham
## 2017      Sham first 4.430612               -31    3 99999      Sham
## 2019      Sham first 4.465102               -31    3 99999      Sham
## 2021      Sham first 4.499592               -31    3 99999      Sham
## 2023      Sham first 4.534082               -31    3 99999      Sham
## 2025      Sham first 4.568571               -31    3 99999      Sham
## 2027      Sham first 4.603061               -31    3 99999      Sham
## 2029      Sham first 4.637551               -31    3 99999      Sham
## 2031      Sham first 4.672041               -31    3 99999      Sham
## 2033      Sham first 4.706531               -31    3 99999      Sham
## 2035      Sham first 4.741020               -31    3 99999      Sham
## 2037      Sham first 4.775510               -31    3 99999      Sham
## 2039      Sham first 4.810000               -31    3 99999      Sham
## 2041      Sham first 3.965833               -30    3 99999      Sham
## 2043      Sham first 3.120000               -30    3 99999      Sham
## 2045      Sham first 3.154490               -30    3 99999      Sham
## 2047      Sham first 3.188980               -30    3 99999      Sham
## 2049      Sham first 3.223469               -30    3 99999      Sham
## 2051      Sham first 3.257959               -30    3 99999      Sham
## 2053      Sham first 3.292449               -30    3 99999      Sham
## 2055      Sham first 3.326939               -30    3 99999      Sham
## 2057      Sham first 3.361429               -30    3 99999      Sham
## 2059      Sham first 3.395918               -30    3 99999      Sham
## 2061      Sham first 3.430408               -30    3 99999      Sham
## 2063      Sham first 3.464898               -30    3 99999      Sham
## 2065      Sham first 3.499388               -30    3 99999      Sham
## 2067      Sham first 3.533878               -30    3 99999      Sham
## 2069      Sham first 3.568367               -30    3 99999      Sham
## 2071      Sham first 3.602857               -30    3 99999      Sham
## 2073      Sham first 3.637347               -30    3 99999      Sham
## 2075      Sham first 3.671837               -30    3 99999      Sham
## 2077      Sham first 3.706327               -30    3 99999      Sham
## 2079      Sham first 3.740816               -30    3 99999      Sham
## 2081      Sham first 3.775306               -30    3 99999      Sham
## 2083      Sham first 3.809796               -30    3 99999      Sham
## 2085      Sham first 3.844286               -30    3 99999      Sham
## 2087      Sham first 3.878776               -30    3 99999      Sham
## 2089      Sham first 3.913265               -30    3 99999      Sham
## 2091      Sham first 3.947755               -30    3 99999      Sham
## 2093      Sham first 3.982245               -30    3 99999      Sham
## 2095      Sham first 4.016735               -30    3 99999      Sham
## 2097      Sham first 4.051224               -30    3 99999      Sham
## 2099      Sham first 4.085714               -30    3 99999      Sham
## 2101      Sham first 4.120204               -30    3 99999      Sham
## 2103      Sham first 4.154694               -30    3 99999      Sham
## 2105      Sham first 4.189184               -30    3 99999      Sham
## 2107      Sham first 4.223673               -30    3 99999      Sham
## 2109      Sham first 4.258163               -30    3 99999      Sham
## 2111      Sham first 4.292653               -30    3 99999      Sham
## 2113      Sham first 4.327143               -30    3 99999      Sham
## 2115      Sham first 4.361633               -30    3 99999      Sham
## 2117      Sham first 4.396122               -30    3 99999      Sham
## 2119      Sham first 4.430612               -30    3 99999      Sham
## 2121      Sham first 4.465102               -30    3 99999      Sham
## 2123      Sham first 4.499592               -30    3 99999      Sham
## 2125      Sham first 4.534082               -30    3 99999      Sham
## 2127      Sham first 4.568571               -30    3 99999      Sham
## 2129      Sham first 4.603061               -30    3 99999      Sham
## 2131      Sham first 4.637551               -30    3 99999      Sham
## 2133      Sham first 4.672041               -30    3 99999      Sham
## 2135      Sham first 4.706531               -30    3 99999      Sham
## 2137      Sham first 4.741020               -30    3 99999      Sham
## 2139      Sham first 4.775510               -30    3 99999      Sham
## 2141      Sham first 4.810000               -30    3 99999      Sham
## 2143      Sham first 3.965833               -29    3 99999      Sham
## 2145      Sham first 3.120000               -29    3 99999      Sham
## 2147      Sham first 3.154490               -29    3 99999      Sham
## 2149      Sham first 3.188980               -29    3 99999      Sham
## 2151      Sham first 3.223469               -29    3 99999      Sham
## 2153      Sham first 3.257959               -29    3 99999      Sham
## 2155      Sham first 3.292449               -29    3 99999      Sham
## 2157      Sham first 3.326939               -29    3 99999      Sham
## 2159      Sham first 3.361429               -29    3 99999      Sham
## 2161      Sham first 3.395918               -29    3 99999      Sham
## 2163      Sham first 3.430408               -29    3 99999      Sham
## 2165      Sham first 3.464898               -29    3 99999      Sham
## 2167      Sham first 3.499388               -29    3 99999      Sham
## 2169      Sham first 3.533878               -29    3 99999      Sham
## 2171      Sham first 3.568367               -29    3 99999      Sham
## 2173      Sham first 3.602857               -29    3 99999      Sham
## 2175      Sham first 3.637347               -29    3 99999      Sham
## 2177      Sham first 3.671837               -29    3 99999      Sham
## 2179      Sham first 3.706327               -29    3 99999      Sham
## 2181      Sham first 3.740816               -29    3 99999      Sham
## 2183      Sham first 3.775306               -29    3 99999      Sham
## 2185      Sham first 3.809796               -29    3 99999      Sham
## 2187      Sham first 3.844286               -29    3 99999      Sham
## 2189      Sham first 3.878776               -29    3 99999      Sham
## 2191      Sham first 3.913265               -29    3 99999      Sham
## 2193      Sham first 3.947755               -29    3 99999      Sham
## 2195      Sham first 3.982245               -29    3 99999      Sham
## 2197      Sham first 4.016735               -29    3 99999      Sham
## 2199      Sham first 4.051224               -29    3 99999      Sham
## 2201      Sham first 4.085714               -29    3 99999      Sham
## 2203      Sham first 4.120204               -29    3 99999      Sham
## 2205      Sham first 4.154694               -29    3 99999      Sham
## 2207      Sham first 4.189184               -29    3 99999      Sham
## 2209      Sham first 4.223673               -29    3 99999      Sham
## 2211      Sham first 4.258163               -29    3 99999      Sham
## 2213      Sham first 4.292653               -29    3 99999      Sham
## 2215      Sham first 4.327143               -29    3 99999      Sham
## 2217      Sham first 4.361633               -29    3 99999      Sham
## 2219      Sham first 4.396122               -29    3 99999      Sham
## 2221      Sham first 4.430612               -29    3 99999      Sham
## 2223      Sham first 4.465102               -29    3 99999      Sham
## 2225      Sham first 4.499592               -29    3 99999      Sham
## 2227      Sham first 4.534082               -29    3 99999      Sham
## 2229      Sham first 4.568571               -29    3 99999      Sham
## 2231      Sham first 4.603061               -29    3 99999      Sham
## 2233      Sham first 4.637551               -29    3 99999      Sham
## 2235      Sham first 4.672041               -29    3 99999      Sham
## 2237      Sham first 4.706531               -29    3 99999      Sham
## 2239      Sham first 4.741020               -29    3 99999      Sham
## 2241      Sham first 4.775510               -29    3 99999      Sham
## 2243      Sham first 4.810000               -29    3 99999      Sham
## 2245      Sham first 3.965833               -28    3 99999      Sham
## 2247      Sham first 3.120000               -28    3 99999      Sham
## 2249      Sham first 3.154490               -28    3 99999      Sham
## 2251      Sham first 3.188980               -28    3 99999      Sham
## 2253      Sham first 3.223469               -28    3 99999      Sham
## 2255      Sham first 3.257959               -28    3 99999      Sham
## 2257      Sham first 3.292449               -28    3 99999      Sham
## 2259      Sham first 3.326939               -28    3 99999      Sham
## 2261      Sham first 3.361429               -28    3 99999      Sham
## 2263      Sham first 3.395918               -28    3 99999      Sham
## 2265      Sham first 3.430408               -28    3 99999      Sham
## 2267      Sham first 3.464898               -28    3 99999      Sham
## 2269      Sham first 3.499388               -28    3 99999      Sham
## 2271      Sham first 3.533878               -28    3 99999      Sham
## 2273      Sham first 3.568367               -28    3 99999      Sham
## 2275      Sham first 3.602857               -28    3 99999      Sham
## 2277      Sham first 3.637347               -28    3 99999      Sham
## 2279      Sham first 3.671837               -28    3 99999      Sham
## 2281      Sham first 3.706327               -28    3 99999      Sham
## 2283      Sham first 3.740816               -28    3 99999      Sham
## 2285      Sham first 3.775306               -28    3 99999      Sham
## 2287      Sham first 3.809796               -28    3 99999      Sham
## 2289      Sham first 3.844286               -28    3 99999      Sham
## 2291      Sham first 3.878776               -28    3 99999      Sham
## 2293      Sham first 3.913265               -28    3 99999      Sham
## 2295      Sham first 3.947755               -28    3 99999      Sham
## 2297      Sham first 3.982245               -28    3 99999      Sham
## 2299      Sham first 4.016735               -28    3 99999      Sham
## 2301      Sham first 4.051224               -28    3 99999      Sham
## 2303      Sham first 4.085714               -28    3 99999      Sham
## 2305      Sham first 4.120204               -28    3 99999      Sham
## 2307      Sham first 4.154694               -28    3 99999      Sham
## 2309      Sham first 4.189184               -28    3 99999      Sham
## 2311      Sham first 4.223673               -28    3 99999      Sham
## 2313      Sham first 4.258163               -28    3 99999      Sham
## 2315      Sham first 4.292653               -28    3 99999      Sham
## 2317      Sham first 4.327143               -28    3 99999      Sham
## 2319      Sham first 4.361633               -28    3 99999      Sham
## 2321      Sham first 4.396122               -28    3 99999      Sham
## 2323      Sham first 4.430612               -28    3 99999      Sham
## 2325      Sham first 4.465102               -28    3 99999      Sham
## 2327      Sham first 4.499592               -28    3 99999      Sham
## 2329      Sham first 4.534082               -28    3 99999      Sham
## 2331      Sham first 4.568571               -28    3 99999      Sham
## 2333      Sham first 4.603061               -28    3 99999      Sham
## 2335      Sham first 4.637551               -28    3 99999      Sham
## 2337      Sham first 4.672041               -28    3 99999      Sham
## 2339      Sham first 4.706531               -28    3 99999      Sham
## 2341      Sham first 4.741020               -28    3 99999      Sham
## 2343      Sham first 4.775510               -28    3 99999      Sham
## 2345      Sham first 4.810000               -28    3 99999      Sham
## 2347      Sham first 3.965833               -27    3 99999      Sham
## 2349      Sham first 3.120000               -27    3 99999      Sham
## 2351      Sham first 3.154490               -27    3 99999      Sham
## 2353      Sham first 3.188980               -27    3 99999      Sham
## 2355      Sham first 3.223469               -27    3 99999      Sham
## 2357      Sham first 3.257959               -27    3 99999      Sham
## 2359      Sham first 3.292449               -27    3 99999      Sham
## 2361      Sham first 3.326939               -27    3 99999      Sham
## 2363      Sham first 3.361429               -27    3 99999      Sham
## 2365      Sham first 3.395918               -27    3 99999      Sham
## 2367      Sham first 3.430408               -27    3 99999      Sham
## 2369      Sham first 3.464898               -27    3 99999      Sham
## 2371      Sham first 3.499388               -27    3 99999      Sham
## 2373      Sham first 3.533878               -27    3 99999      Sham
## 2375      Sham first 3.568367               -27    3 99999      Sham
## 2377      Sham first 3.602857               -27    3 99999      Sham
## 2379      Sham first 3.637347               -27    3 99999      Sham
## 2381      Sham first 3.671837               -27    3 99999      Sham
## 2383      Sham first 3.706327               -27    3 99999      Sham
## 2385      Sham first 3.740816               -27    3 99999      Sham
## 2387      Sham first 3.775306               -27    3 99999      Sham
## 2389      Sham first 3.809796               -27    3 99999      Sham
## 2391      Sham first 3.844286               -27    3 99999      Sham
## 2393      Sham first 3.878776               -27    3 99999      Sham
## 2395      Sham first 3.913265               -27    3 99999      Sham
## 2397      Sham first 3.947755               -27    3 99999      Sham
## 2399      Sham first 3.982245               -27    3 99999      Sham
## 2401      Sham first 4.016735               -27    3 99999      Sham
## 2403      Sham first 4.051224               -27    3 99999      Sham
## 2405      Sham first 4.085714               -27    3 99999      Sham
## 2407      Sham first 4.120204               -27    3 99999      Sham
## 2409      Sham first 4.154694               -27    3 99999      Sham
## 2411      Sham first 4.189184               -27    3 99999      Sham
## 2413      Sham first 4.223673               -27    3 99999      Sham
## 2415      Sham first 4.258163               -27    3 99999      Sham
## 2417      Sham first 4.292653               -27    3 99999      Sham
## 2419      Sham first 4.327143               -27    3 99999      Sham
## 2421      Sham first 4.361633               -27    3 99999      Sham
## 2423      Sham first 4.396122               -27    3 99999      Sham
## 2425      Sham first 4.430612               -27    3 99999      Sham
## 2427      Sham first 4.465102               -27    3 99999      Sham
## 2429      Sham first 4.499592               -27    3 99999      Sham
## 2431      Sham first 4.534082               -27    3 99999      Sham
## 2433      Sham first 4.568571               -27    3 99999      Sham
## 2435      Sham first 4.603061               -27    3 99999      Sham
## 2437      Sham first 4.637551               -27    3 99999      Sham
## 2439      Sham first 4.672041               -27    3 99999      Sham
## 2441      Sham first 4.706531               -27    3 99999      Sham
## 2443      Sham first 4.741020               -27    3 99999      Sham
## 2445      Sham first 4.775510               -27    3 99999      Sham
## 2447      Sham first 4.810000               -27    3 99999      Sham
## 2449      Sham first 3.965833               -26    3 99999      Sham
## 2451      Sham first 3.120000               -26    3 99999      Sham
## 2453      Sham first 3.154490               -26    3 99999      Sham
## 2455      Sham first 3.188980               -26    3 99999      Sham
## 2457      Sham first 3.223469               -26    3 99999      Sham
## 2459      Sham first 3.257959               -26    3 99999      Sham
## 2461      Sham first 3.292449               -26    3 99999      Sham
## 2463      Sham first 3.326939               -26    3 99999      Sham
## 2465      Sham first 3.361429               -26    3 99999      Sham
## 2467      Sham first 3.395918               -26    3 99999      Sham
## 2469      Sham first 3.430408               -26    3 99999      Sham
## 2471      Sham first 3.464898               -26    3 99999      Sham
## 2473      Sham first 3.499388               -26    3 99999      Sham
## 2475      Sham first 3.533878               -26    3 99999      Sham
## 2477      Sham first 3.568367               -26    3 99999      Sham
## 2479      Sham first 3.602857               -26    3 99999      Sham
## 2481      Sham first 3.637347               -26    3 99999      Sham
## 2483      Sham first 3.671837               -26    3 99999      Sham
## 2485      Sham first 3.706327               -26    3 99999      Sham
## 2487      Sham first 3.740816               -26    3 99999      Sham
## 2489      Sham first 3.775306               -26    3 99999      Sham
## 2491      Sham first 3.809796               -26    3 99999      Sham
## 2493      Sham first 3.844286               -26    3 99999      Sham
## 2495      Sham first 3.878776               -26    3 99999      Sham
## 2497      Sham first 3.913265               -26    3 99999      Sham
## 2499      Sham first 3.947755               -26    3 99999      Sham
## 2501      Sham first 3.982245               -26    3 99999      Sham
## 2503      Sham first 4.016735               -26    3 99999      Sham
## 2505      Sham first 4.051224               -26    3 99999      Sham
## 2507      Sham first 4.085714               -26    3 99999      Sham
## 2509      Sham first 4.120204               -26    3 99999      Sham
## 2511      Sham first 4.154694               -26    3 99999      Sham
## 2513      Sham first 4.189184               -26    3 99999      Sham
## 2515      Sham first 4.223673               -26    3 99999      Sham
## 2517      Sham first 4.258163               -26    3 99999      Sham
## 2519      Sham first 4.292653               -26    3 99999      Sham
## 2521      Sham first 4.327143               -26    3 99999      Sham
## 2523      Sham first 4.361633               -26    3 99999      Sham
## 2525      Sham first 4.396122               -26    3 99999      Sham
## 2527      Sham first 4.430612               -26    3 99999      Sham
## 2529      Sham first 4.465102               -26    3 99999      Sham
## 2531      Sham first 4.499592               -26    3 99999      Sham
## 2533      Sham first 4.534082               -26    3 99999      Sham
## 2535      Sham first 4.568571               -26    3 99999      Sham
## 2537      Sham first 4.603061               -26    3 99999      Sham
## 2539      Sham first 4.637551               -26    3 99999      Sham
## 2541      Sham first 4.672041               -26    3 99999      Sham
## 2543      Sham first 4.706531               -26    3 99999      Sham
## 2545      Sham first 4.741020               -26    3 99999      Sham
## 2547      Sham first 4.775510               -26    3 99999      Sham
## 2549      Sham first 4.810000               -26    3 99999      Sham
## 2551      Sham first 3.965833               -25    3 99999      Sham
## 2553      Sham first 3.120000               -25    3 99999      Sham
## 2555      Sham first 3.154490               -25    3 99999      Sham
## 2557      Sham first 3.188980               -25    3 99999      Sham
## 2559      Sham first 3.223469               -25    3 99999      Sham
## 2561      Sham first 3.257959               -25    3 99999      Sham
## 2563      Sham first 3.292449               -25    3 99999      Sham
## 2565      Sham first 3.326939               -25    3 99999      Sham
## 2567      Sham first 3.361429               -25    3 99999      Sham
## 2569      Sham first 3.395918               -25    3 99999      Sham
## 2571      Sham first 3.430408               -25    3 99999      Sham
## 2573      Sham first 3.464898               -25    3 99999      Sham
## 2575      Sham first 3.499388               -25    3 99999      Sham
## 2577      Sham first 3.533878               -25    3 99999      Sham
## 2579      Sham first 3.568367               -25    3 99999      Sham
## 2581      Sham first 3.602857               -25    3 99999      Sham
## 2583      Sham first 3.637347               -25    3 99999      Sham
## 2585      Sham first 3.671837               -25    3 99999      Sham
## 2587      Sham first 3.706327               -25    3 99999      Sham
## 2589      Sham first 3.740816               -25    3 99999      Sham
## 2591      Sham first 3.775306               -25    3 99999      Sham
## 2593      Sham first 3.809796               -25    3 99999      Sham
## 2595      Sham first 3.844286               -25    3 99999      Sham
## 2597      Sham first 3.878776               -25    3 99999      Sham
## 2599      Sham first 3.913265               -25    3 99999      Sham
## 2601      Sham first 3.947755               -25    3 99999      Sham
## 2603      Sham first 3.982245               -25    3 99999      Sham
## 2605      Sham first 4.016735               -25    3 99999      Sham
## 2607      Sham first 4.051224               -25    3 99999      Sham
## 2609      Sham first 4.085714               -25    3 99999      Sham
## 2611      Sham first 4.120204               -25    3 99999      Sham
## 2613      Sham first 4.154694               -25    3 99999      Sham
## 2615      Sham first 4.189184               -25    3 99999      Sham
## 2617      Sham first 4.223673               -25    3 99999      Sham
## 2619      Sham first 4.258163               -25    3 99999      Sham
## 2621      Sham first 4.292653               -25    3 99999      Sham
## 2623      Sham first 4.327143               -25    3 99999      Sham
## 2625      Sham first 4.361633               -25    3 99999      Sham
## 2627      Sham first 4.396122               -25    3 99999      Sham
## 2629      Sham first 4.430612               -25    3 99999      Sham
## 2631      Sham first 4.465102               -25    3 99999      Sham
## 2633      Sham first 4.499592               -25    3 99999      Sham
## 2635      Sham first 4.534082               -25    3 99999      Sham
## 2637      Sham first 4.568571               -25    3 99999      Sham
## 2639      Sham first 4.603061               -25    3 99999      Sham
## 2641      Sham first 4.637551               -25    3 99999      Sham
## 2643      Sham first 4.672041               -25    3 99999      Sham
## 2645      Sham first 4.706531               -25    3 99999      Sham
## 2647      Sham first 4.741020               -25    3 99999      Sham
## 2649      Sham first 4.775510               -25    3 99999      Sham
## 2651      Sham first 4.810000               -25    3 99999      Sham
## 2653      Sham first 3.965833               -24    3 99999      Sham
## 2655      Sham first 3.120000               -24    3 99999      Sham
## 2657      Sham first 3.154490               -24    3 99999      Sham
## 2659      Sham first 3.188980               -24    3 99999      Sham
## 2661      Sham first 3.223469               -24    3 99999      Sham
## 2663      Sham first 3.257959               -24    3 99999      Sham
## 2665      Sham first 3.292449               -24    3 99999      Sham
## 2667      Sham first 3.326939               -24    3 99999      Sham
## 2669      Sham first 3.361429               -24    3 99999      Sham
## 2671      Sham first 3.395918               -24    3 99999      Sham
## 2673      Sham first 3.430408               -24    3 99999      Sham
## 2675      Sham first 3.464898               -24    3 99999      Sham
## 2677      Sham first 3.499388               -24    3 99999      Sham
## 2679      Sham first 3.533878               -24    3 99999      Sham
## 2681      Sham first 3.568367               -24    3 99999      Sham
## 2683      Sham first 3.602857               -24    3 99999      Sham
## 2685      Sham first 3.637347               -24    3 99999      Sham
## 2687      Sham first 3.671837               -24    3 99999      Sham
## 2689      Sham first 3.706327               -24    3 99999      Sham
## 2691      Sham first 3.740816               -24    3 99999      Sham
## 2693      Sham first 3.775306               -24    3 99999      Sham
## 2695      Sham first 3.809796               -24    3 99999      Sham
## 2697      Sham first 3.844286               -24    3 99999      Sham
## 2699      Sham first 3.878776               -24    3 99999      Sham
## 2701      Sham first 3.913265               -24    3 99999      Sham
## 2703      Sham first 3.947755               -24    3 99999      Sham
## 2705      Sham first 3.982245               -24    3 99999      Sham
## 2707      Sham first 4.016735               -24    3 99999      Sham
## 2709      Sham first 4.051224               -24    3 99999      Sham
## 2711      Sham first 4.085714               -24    3 99999      Sham
## 2713      Sham first 4.120204               -24    3 99999      Sham
## 2715      Sham first 4.154694               -24    3 99999      Sham
## 2717      Sham first 4.189184               -24    3 99999      Sham
## 2719      Sham first 4.223673               -24    3 99999      Sham
## 2721      Sham first 4.258163               -24    3 99999      Sham
## 2723      Sham first 4.292653               -24    3 99999      Sham
## 2725      Sham first 4.327143               -24    3 99999      Sham
## 2727      Sham first 4.361633               -24    3 99999      Sham
## 2729      Sham first 4.396122               -24    3 99999      Sham
## 2731      Sham first 4.430612               -24    3 99999      Sham
## 2733      Sham first 4.465102               -24    3 99999      Sham
## 2735      Sham first 4.499592               -24    3 99999      Sham
## 2737      Sham first 4.534082               -24    3 99999      Sham
## 2739      Sham first 4.568571               -24    3 99999      Sham
## 2741      Sham first 4.603061               -24    3 99999      Sham
## 2743      Sham first 4.637551               -24    3 99999      Sham
## 2745      Sham first 4.672041               -24    3 99999      Sham
## 2747      Sham first 4.706531               -24    3 99999      Sham
## 2749      Sham first 4.741020               -24    3 99999      Sham
## 2751      Sham first 4.775510               -24    3 99999      Sham
## 2753      Sham first 4.810000               -24    3 99999      Sham
## 2755      Sham first 3.965833               -23    3 99999      Sham
## 2757      Sham first 3.120000               -23    3 99999      Sham
## 2759      Sham first 3.154490               -23    3 99999      Sham
## 2761      Sham first 3.188980               -23    3 99999      Sham
## 2763      Sham first 3.223469               -23    3 99999      Sham
## 2765      Sham first 3.257959               -23    3 99999      Sham
## 2767      Sham first 3.292449               -23    3 99999      Sham
## 2769      Sham first 3.326939               -23    3 99999      Sham
## 2771      Sham first 3.361429               -23    3 99999      Sham
## 2773      Sham first 3.395918               -23    3 99999      Sham
## 2775      Sham first 3.430408               -23    3 99999      Sham
## 2777      Sham first 3.464898               -23    3 99999      Sham
## 2779      Sham first 3.499388               -23    3 99999      Sham
## 2781      Sham first 3.533878               -23    3 99999      Sham
## 2783      Sham first 3.568367               -23    3 99999      Sham
## 2785      Sham first 3.602857               -23    3 99999      Sham
## 2787      Sham first 3.637347               -23    3 99999      Sham
## 2789      Sham first 3.671837               -23    3 99999      Sham
## 2791      Sham first 3.706327               -23    3 99999      Sham
## 2793      Sham first 3.740816               -23    3 99999      Sham
## 2795      Sham first 3.775306               -23    3 99999      Sham
## 2797      Sham first 3.809796               -23    3 99999      Sham
## 2799      Sham first 3.844286               -23    3 99999      Sham
## 2801      Sham first 3.878776               -23    3 99999      Sham
## 2803      Sham first 3.913265               -23    3 99999      Sham
## 2805      Sham first 3.947755               -23    3 99999      Sham
## 2807      Sham first 3.982245               -23    3 99999      Sham
## 2809      Sham first 4.016735               -23    3 99999      Sham
## 2811      Sham first 4.051224               -23    3 99999      Sham
## 2813      Sham first 4.085714               -23    3 99999      Sham
## 2815      Sham first 4.120204               -23    3 99999      Sham
## 2817      Sham first 4.154694               -23    3 99999      Sham
## 2819      Sham first 4.189184               -23    3 99999      Sham
## 2821      Sham first 4.223673               -23    3 99999      Sham
## 2823      Sham first 4.258163               -23    3 99999      Sham
## 2825      Sham first 4.292653               -23    3 99999      Sham
## 2827      Sham first 4.327143               -23    3 99999      Sham
## 2829      Sham first 4.361633               -23    3 99999      Sham
## 2831      Sham first 4.396122               -23    3 99999      Sham
## 2833      Sham first 4.430612               -23    3 99999      Sham
## 2835      Sham first 4.465102               -23    3 99999      Sham
## 2837      Sham first 4.499592               -23    3 99999      Sham
## 2839      Sham first 4.534082               -23    3 99999      Sham
## 2841      Sham first 4.568571               -23    3 99999      Sham
## 2843      Sham first 4.603061               -23    3 99999      Sham
## 2845      Sham first 4.637551               -23    3 99999      Sham
## 2847      Sham first 4.672041               -23    3 99999      Sham
## 2849      Sham first 4.706531               -23    3 99999      Sham
## 2851      Sham first 4.741020               -23    3 99999      Sham
## 2853      Sham first 4.775510               -23    3 99999      Sham
## 2855      Sham first 4.810000               -23    3 99999      Sham
## 2857      Sham first 3.965833               -22    3 99999      Sham
## 2859      Sham first 3.120000               -22    3 99999      Sham
## 2861      Sham first 3.154490               -22    3 99999      Sham
## 2863      Sham first 3.188980               -22    3 99999      Sham
## 2865      Sham first 3.223469               -22    3 99999      Sham
## 2867      Sham first 3.257959               -22    3 99999      Sham
## 2869      Sham first 3.292449               -22    3 99999      Sham
## 2871      Sham first 3.326939               -22    3 99999      Sham
## 2873      Sham first 3.361429               -22    3 99999      Sham
## 2875      Sham first 3.395918               -22    3 99999      Sham
## 2877      Sham first 3.430408               -22    3 99999      Sham
## 2879      Sham first 3.464898               -22    3 99999      Sham
## 2881      Sham first 3.499388               -22    3 99999      Sham
## 2883      Sham first 3.533878               -22    3 99999      Sham
## 2885      Sham first 3.568367               -22    3 99999      Sham
## 2887      Sham first 3.602857               -22    3 99999      Sham
## 2889      Sham first 3.637347               -22    3 99999      Sham
## 2891      Sham first 3.671837               -22    3 99999      Sham
## 2893      Sham first 3.706327               -22    3 99999      Sham
## 2895      Sham first 3.740816               -22    3 99999      Sham
## 2897      Sham first 3.775306               -22    3 99999      Sham
## 2899      Sham first 3.809796               -22    3 99999      Sham
## 2901      Sham first 3.844286               -22    3 99999      Sham
## 2903      Sham first 3.878776               -22    3 99999      Sham
## 2905      Sham first 3.913265               -22    3 99999      Sham
## 2907      Sham first 3.947755               -22    3 99999      Sham
## 2909      Sham first 3.982245               -22    3 99999      Sham
## 2911      Sham first 4.016735               -22    3 99999      Sham
## 2913      Sham first 4.051224               -22    3 99999      Sham
## 2915      Sham first 4.085714               -22    3 99999      Sham
## 2917      Sham first 4.120204               -22    3 99999      Sham
## 2919      Sham first 4.154694               -22    3 99999      Sham
## 2921      Sham first 4.189184               -22    3 99999      Sham
## 2923      Sham first 4.223673               -22    3 99999      Sham
## 2925      Sham first 4.258163               -22    3 99999      Sham
## 2927      Sham first 4.292653               -22    3 99999      Sham
## 2929      Sham first 4.327143               -22    3 99999      Sham
## 2931      Sham first 4.361633               -22    3 99999      Sham
## 2933      Sham first 4.396122               -22    3 99999      Sham
## 2935      Sham first 4.430612               -22    3 99999      Sham
## 2937      Sham first 4.465102               -22    3 99999      Sham
## 2939      Sham first 4.499592               -22    3 99999      Sham
## 2941      Sham first 4.534082               -22    3 99999      Sham
## 2943      Sham first 4.568571               -22    3 99999      Sham
## 2945      Sham first 4.603061               -22    3 99999      Sham
## 2947      Sham first 4.637551               -22    3 99999      Sham
## 2949      Sham first 4.672041               -22    3 99999      Sham
## 2951      Sham first 4.706531               -22    3 99999      Sham
## 2953      Sham first 4.741020               -22    3 99999      Sham
## 2955      Sham first 4.775510               -22    3 99999      Sham
## 2957      Sham first 4.810000               -22    3 99999      Sham
## 2959      Sham first 3.965833               -21    3 99999      Sham
## 2961      Sham first 3.120000               -21    3 99999      Sham
## 2963      Sham first 3.154490               -21    3 99999      Sham
## 2965      Sham first 3.188980               -21    3 99999      Sham
## 2967      Sham first 3.223469               -21    3 99999      Sham
## 2969      Sham first 3.257959               -21    3 99999      Sham
## 2971      Sham first 3.292449               -21    3 99999      Sham
## 2973      Sham first 3.326939               -21    3 99999      Sham
## 2975      Sham first 3.361429               -21    3 99999      Sham
## 2977      Sham first 3.395918               -21    3 99999      Sham
## 2979      Sham first 3.430408               -21    3 99999      Sham
## 2981      Sham first 3.464898               -21    3 99999      Sham
## 2983      Sham first 3.499388               -21    3 99999      Sham
## 2985      Sham first 3.533878               -21    3 99999      Sham
## 2987      Sham first 3.568367               -21    3 99999      Sham
## 2989      Sham first 3.602857               -21    3 99999      Sham
## 2991      Sham first 3.637347               -21    3 99999      Sham
## 2993      Sham first 3.671837               -21    3 99999      Sham
## 2995      Sham first 3.706327               -21    3 99999      Sham
## 2997      Sham first 3.740816               -21    3 99999      Sham
## 2999      Sham first 3.775306               -21    3 99999      Sham
## 3001      Sham first 3.809796               -21    3 99999      Sham
## 3003      Sham first 3.844286               -21    3 99999      Sham
## 3005      Sham first 3.878776               -21    3 99999      Sham
## 3007      Sham first 3.913265               -21    3 99999      Sham
## 3009      Sham first 3.947755               -21    3 99999      Sham
## 3011      Sham first 3.982245               -21    3 99999      Sham
## 3013      Sham first 4.016735               -21    3 99999      Sham
## 3015      Sham first 4.051224               -21    3 99999      Sham
## 3017      Sham first 4.085714               -21    3 99999      Sham
## 3019      Sham first 4.120204               -21    3 99999      Sham
## 3021      Sham first 4.154694               -21    3 99999      Sham
## 3023      Sham first 4.189184               -21    3 99999      Sham
## 3025      Sham first 4.223673               -21    3 99999      Sham
## 3027      Sham first 4.258163               -21    3 99999      Sham
## 3029      Sham first 4.292653               -21    3 99999      Sham
## 3031      Sham first 4.327143               -21    3 99999      Sham
## 3033      Sham first 4.361633               -21    3 99999      Sham
## 3035      Sham first 4.396122               -21    3 99999      Sham
## 3037      Sham first 4.430612               -21    3 99999      Sham
## 3039      Sham first 4.465102               -21    3 99999      Sham
## 3041      Sham first 4.499592               -21    3 99999      Sham
## 3043      Sham first 4.534082               -21    3 99999      Sham
## 3045      Sham first 4.568571               -21    3 99999      Sham
## 3047      Sham first 4.603061               -21    3 99999      Sham
## 3049      Sham first 4.637551               -21    3 99999      Sham
## 3051      Sham first 4.672041               -21    3 99999      Sham
## 3053      Sham first 4.706531               -21    3 99999      Sham
## 3055      Sham first 4.741020               -21    3 99999      Sham
## 3057      Sham first 4.775510               -21    3 99999      Sham
## 3059      Sham first 4.810000               -21    3 99999      Sham
## 3061      Sham first 3.965833               -20    3 99999      Sham
## 3063      Sham first 3.120000               -20    3 99999      Sham
## 3065      Sham first 3.154490               -20    3 99999      Sham
## 3067      Sham first 3.188980               -20    3 99999      Sham
## 3069      Sham first 3.223469               -20    3 99999      Sham
## 3071      Sham first 3.257959               -20    3 99999      Sham
## 3073      Sham first 3.292449               -20    3 99999      Sham
## 3075      Sham first 3.326939               -20    3 99999      Sham
## 3077      Sham first 3.361429               -20    3 99999      Sham
## 3079      Sham first 3.395918               -20    3 99999      Sham
## 3081      Sham first 3.430408               -20    3 99999      Sham
## 3083      Sham first 3.464898               -20    3 99999      Sham
## 3085      Sham first 3.499388               -20    3 99999      Sham
## 3087      Sham first 3.533878               -20    3 99999      Sham
## 3089      Sham first 3.568367               -20    3 99999      Sham
## 3091      Sham first 3.602857               -20    3 99999      Sham
## 3093      Sham first 3.637347               -20    3 99999      Sham
## 3095      Sham first 3.671837               -20    3 99999      Sham
## 3097      Sham first 3.706327               -20    3 99999      Sham
## 3099      Sham first 3.740816               -20    3 99999      Sham
## 3101      Sham first 3.775306               -20    3 99999      Sham
## 3103      Sham first 3.809796               -20    3 99999      Sham
## 3105      Sham first 3.844286               -20    3 99999      Sham
## 3107      Sham first 3.878776               -20    3 99999      Sham
## 3109      Sham first 3.913265               -20    3 99999      Sham
## 3111      Sham first 3.947755               -20    3 99999      Sham
## 3113      Sham first 3.982245               -20    3 99999      Sham
## 3115      Sham first 4.016735               -20    3 99999      Sham
## 3117      Sham first 4.051224               -20    3 99999      Sham
## 3119      Sham first 4.085714               -20    3 99999      Sham
## 3121      Sham first 4.120204               -20    3 99999      Sham
## 3123      Sham first 4.154694               -20    3 99999      Sham
## 3125      Sham first 4.189184               -20    3 99999      Sham
## 3127      Sham first 4.223673               -20    3 99999      Sham
## 3129      Sham first 4.258163               -20    3 99999      Sham
## 3131      Sham first 4.292653               -20    3 99999      Sham
## 3133      Sham first 4.327143               -20    3 99999      Sham
## 3135      Sham first 4.361633               -20    3 99999      Sham
## 3137      Sham first 4.396122               -20    3 99999      Sham
## 3139      Sham first 4.430612               -20    3 99999      Sham
## 3141      Sham first 4.465102               -20    3 99999      Sham
## 3143      Sham first 4.499592               -20    3 99999      Sham
## 3145      Sham first 4.534082               -20    3 99999      Sham
## 3147      Sham first 4.568571               -20    3 99999      Sham
## 3149      Sham first 4.603061               -20    3 99999      Sham
## 3151      Sham first 4.637551               -20    3 99999      Sham
## 3153      Sham first 4.672041               -20    3 99999      Sham
## 3155      Sham first 4.706531               -20    3 99999      Sham
## 3157      Sham first 4.741020               -20    3 99999      Sham
## 3159      Sham first 4.775510               -20    3 99999      Sham
## 3161      Sham first 4.810000               -20    3 99999      Sham
## 3163      Sham first 3.965833               -19    3 99999      Sham
## 3165      Sham first 3.120000               -19    3 99999      Sham
## 3167      Sham first 3.154490               -19    3 99999      Sham
## 3169      Sham first 3.188980               -19    3 99999      Sham
## 3171      Sham first 3.223469               -19    3 99999      Sham
## 3173      Sham first 3.257959               -19    3 99999      Sham
## 3175      Sham first 3.292449               -19    3 99999      Sham
## 3177      Sham first 3.326939               -19    3 99999      Sham
## 3179      Sham first 3.361429               -19    3 99999      Sham
## 3181      Sham first 3.395918               -19    3 99999      Sham
## 3183      Sham first 3.430408               -19    3 99999      Sham
## 3185      Sham first 3.464898               -19    3 99999      Sham
## 3187      Sham first 3.499388               -19    3 99999      Sham
## 3189      Sham first 3.533878               -19    3 99999      Sham
## 3191      Sham first 3.568367               -19    3 99999      Sham
## 3193      Sham first 3.602857               -19    3 99999      Sham
## 3195      Sham first 3.637347               -19    3 99999      Sham
## 3197      Sham first 3.671837               -19    3 99999      Sham
## 3199      Sham first 3.706327               -19    3 99999      Sham
## 3201      Sham first 3.740816               -19    3 99999      Sham
## 3203      Sham first 3.775306               -19    3 99999      Sham
## 3205      Sham first 3.809796               -19    3 99999      Sham
## 3207      Sham first 3.844286               -19    3 99999      Sham
## 3209      Sham first 3.878776               -19    3 99999      Sham
## 3211      Sham first 3.913265               -19    3 99999      Sham
## 3213      Sham first 3.947755               -19    3 99999      Sham
## 3215      Sham first 3.982245               -19    3 99999      Sham
## 3217      Sham first 4.016735               -19    3 99999      Sham
## 3219      Sham first 4.051224               -19    3 99999      Sham
## 3221      Sham first 4.085714               -19    3 99999      Sham
## 3223      Sham first 4.120204               -19    3 99999      Sham
## 3225      Sham first 4.154694               -19    3 99999      Sham
## 3227      Sham first 4.189184               -19    3 99999      Sham
## 3229      Sham first 4.223673               -19    3 99999      Sham
## 3231      Sham first 4.258163               -19    3 99999      Sham
## 3233      Sham first 4.292653               -19    3 99999      Sham
## 3235      Sham first 4.327143               -19    3 99999      Sham
## 3237      Sham first 4.361633               -19    3 99999      Sham
## 3239      Sham first 4.396122               -19    3 99999      Sham
## 3241      Sham first 4.430612               -19    3 99999      Sham
## 3243      Sham first 4.465102               -19    3 99999      Sham
## 3245      Sham first 4.499592               -19    3 99999      Sham
## 3247      Sham first 4.534082               -19    3 99999      Sham
## 3249      Sham first 4.568571               -19    3 99999      Sham
## 3251      Sham first 4.603061               -19    3 99999      Sham
## 3253      Sham first 4.637551               -19    3 99999      Sham
## 3255      Sham first 4.672041               -19    3 99999      Sham
## 3257      Sham first 4.706531               -19    3 99999      Sham
## 3259      Sham first 4.741020               -19    3 99999      Sham
## 3261      Sham first 4.775510               -19    3 99999      Sham
## 3263      Sham first 4.810000               -19    3 99999      Sham
## 3265      Sham first 3.965833               -18    3 99999      Sham
## 3267      Sham first 3.120000               -18    3 99999      Sham
## 3269      Sham first 3.154490               -18    3 99999      Sham
## 3271      Sham first 3.188980               -18    3 99999      Sham
## 3273      Sham first 3.223469               -18    3 99999      Sham
## 3275      Sham first 3.257959               -18    3 99999      Sham
## 3277      Sham first 3.292449               -18    3 99999      Sham
## 3279      Sham first 3.326939               -18    3 99999      Sham
## 3281      Sham first 3.361429               -18    3 99999      Sham
## 3283      Sham first 3.395918               -18    3 99999      Sham
## 3285      Sham first 3.430408               -18    3 99999      Sham
## 3287      Sham first 3.464898               -18    3 99999      Sham
## 3289      Sham first 3.499388               -18    3 99999      Sham
## 3291      Sham first 3.533878               -18    3 99999      Sham
## 3293      Sham first 3.568367               -18    3 99999      Sham
## 3295      Sham first 3.602857               -18    3 99999      Sham
## 3297      Sham first 3.637347               -18    3 99999      Sham
## 3299      Sham first 3.671837               -18    3 99999      Sham
## 3301      Sham first 3.706327               -18    3 99999      Sham
## 3303      Sham first 3.740816               -18    3 99999      Sham
## 3305      Sham first 3.775306               -18    3 99999      Sham
## 3307      Sham first 3.809796               -18    3 99999      Sham
## 3309      Sham first 3.844286               -18    3 99999      Sham
## 3311      Sham first 3.878776               -18    3 99999      Sham
## 3313      Sham first 3.913265               -18    3 99999      Sham
## 3315      Sham first 3.947755               -18    3 99999      Sham
## 3317      Sham first 3.982245               -18    3 99999      Sham
## 3319      Sham first 4.016735               -18    3 99999      Sham
## 3321      Sham first 4.051224               -18    3 99999      Sham
## 3323      Sham first 4.085714               -18    3 99999      Sham
## 3325      Sham first 4.120204               -18    3 99999      Sham
## 3327      Sham first 4.154694               -18    3 99999      Sham
## 3329      Sham first 4.189184               -18    3 99999      Sham
## 3331      Sham first 4.223673               -18    3 99999      Sham
## 3333      Sham first 4.258163               -18    3 99999      Sham
## 3335      Sham first 4.292653               -18    3 99999      Sham
## 3337      Sham first 4.327143               -18    3 99999      Sham
## 3339      Sham first 4.361633               -18    3 99999      Sham
## 3341      Sham first 4.396122               -18    3 99999      Sham
## 3343      Sham first 4.430612               -18    3 99999      Sham
## 3345      Sham first 4.465102               -18    3 99999      Sham
## 3347      Sham first 4.499592               -18    3 99999      Sham
## 3349      Sham first 4.534082               -18    3 99999      Sham
## 3351      Sham first 4.568571               -18    3 99999      Sham
## 3353      Sham first 4.603061               -18    3 99999      Sham
## 3355      Sham first 4.637551               -18    3 99999      Sham
## 3357      Sham first 4.672041               -18    3 99999      Sham
## 3359      Sham first 4.706531               -18    3 99999      Sham
## 3361      Sham first 4.741020               -18    3 99999      Sham
## 3363      Sham first 4.775510               -18    3 99999      Sham
## 3365      Sham first 4.810000               -18    3 99999      Sham
## 3367      Sham first 3.965833               -17    3 99999      Sham
## 3369      Sham first 3.120000               -17    3 99999      Sham
## 3371      Sham first 3.154490               -17    3 99999      Sham
## 3373      Sham first 3.188980               -17    3 99999      Sham
## 3375      Sham first 3.223469               -17    3 99999      Sham
## 3377      Sham first 3.257959               -17    3 99999      Sham
## 3379      Sham first 3.292449               -17    3 99999      Sham
## 3381      Sham first 3.326939               -17    3 99999      Sham
## 3383      Sham first 3.361429               -17    3 99999      Sham
## 3385      Sham first 3.395918               -17    3 99999      Sham
## 3387      Sham first 3.430408               -17    3 99999      Sham
## 3389      Sham first 3.464898               -17    3 99999      Sham
## 3391      Sham first 3.499388               -17    3 99999      Sham
## 3393      Sham first 3.533878               -17    3 99999      Sham
## 3395      Sham first 3.568367               -17    3 99999      Sham
## 3397      Sham first 3.602857               -17    3 99999      Sham
## 3399      Sham first 3.637347               -17    3 99999      Sham
## 3401      Sham first 3.671837               -17    3 99999      Sham
## 3403      Sham first 3.706327               -17    3 99999      Sham
## 3405      Sham first 3.740816               -17    3 99999      Sham
## 3407      Sham first 3.775306               -17    3 99999      Sham
## 3409      Sham first 3.809796               -17    3 99999      Sham
## 3411      Sham first 3.844286               -17    3 99999      Sham
## 3413      Sham first 3.878776               -17    3 99999      Sham
## 3415      Sham first 3.913265               -17    3 99999      Sham
## 3417      Sham first 3.947755               -17    3 99999      Sham
## 3419      Sham first 3.982245               -17    3 99999      Sham
## 3421      Sham first 4.016735               -17    3 99999      Sham
## 3423      Sham first 4.051224               -17    3 99999      Sham
## 3425      Sham first 4.085714               -17    3 99999      Sham
## 3427      Sham first 4.120204               -17    3 99999      Sham
## 3429      Sham first 4.154694               -17    3 99999      Sham
## 3431      Sham first 4.189184               -17    3 99999      Sham
## 3433      Sham first 4.223673               -17    3 99999      Sham
## 3435      Sham first 4.258163               -17    3 99999      Sham
## 3437      Sham first 4.292653               -17    3 99999      Sham
## 3439      Sham first 4.327143               -17    3 99999      Sham
## 3441      Sham first 4.361633               -17    3 99999      Sham
## 3443      Sham first 4.396122               -17    3 99999      Sham
## 3445      Sham first 4.430612               -17    3 99999      Sham
## 3447      Sham first 4.465102               -17    3 99999      Sham
## 3449      Sham first 4.499592               -17    3 99999      Sham
## 3451      Sham first 4.534082               -17    3 99999      Sham
## 3453      Sham first 4.568571               -17    3 99999      Sham
## 3455      Sham first 4.603061               -17    3 99999      Sham
## 3457      Sham first 4.637551               -17    3 99999      Sham
## 3459      Sham first 4.672041               -17    3 99999      Sham
## 3461      Sham first 4.706531               -17    3 99999      Sham
## 3463      Sham first 4.741020               -17    3 99999      Sham
## 3465      Sham first 4.775510               -17    3 99999      Sham
## 3467      Sham first 4.810000               -17    3 99999      Sham
## 3469      Sham first 3.965833               -16    3 99999      Sham
## 3471      Sham first 3.120000               -16    3 99999      Sham
## 3473      Sham first 3.154490               -16    3 99999      Sham
## 3475      Sham first 3.188980               -16    3 99999      Sham
## 3477      Sham first 3.223469               -16    3 99999      Sham
## 3479      Sham first 3.257959               -16    3 99999      Sham
## 3481      Sham first 3.292449               -16    3 99999      Sham
## 3483      Sham first 3.326939               -16    3 99999      Sham
## 3485      Sham first 3.361429               -16    3 99999      Sham
## 3487      Sham first 3.395918               -16    3 99999      Sham
## 3489      Sham first 3.430408               -16    3 99999      Sham
## 3491      Sham first 3.464898               -16    3 99999      Sham
## 3493      Sham first 3.499388               -16    3 99999      Sham
## 3495      Sham first 3.533878               -16    3 99999      Sham
## 3497      Sham first 3.568367               -16    3 99999      Sham
## 3499      Sham first 3.602857               -16    3 99999      Sham
## 3501      Sham first 3.637347               -16    3 99999      Sham
## 3503      Sham first 3.671837               -16    3 99999      Sham
## 3505      Sham first 3.706327               -16    3 99999      Sham
## 3507      Sham first 3.740816               -16    3 99999      Sham
## 3509      Sham first 3.775306               -16    3 99999      Sham
## 3511      Sham first 3.809796               -16    3 99999      Sham
## 3513      Sham first 3.844286               -16    3 99999      Sham
## 3515      Sham first 3.878776               -16    3 99999      Sham
## 3517      Sham first 3.913265               -16    3 99999      Sham
## 3519      Sham first 3.947755               -16    3 99999      Sham
## 3521      Sham first 3.982245               -16    3 99999      Sham
## 3523      Sham first 4.016735               -16    3 99999      Sham
## 3525      Sham first 4.051224               -16    3 99999      Sham
## 3527      Sham first 4.085714               -16    3 99999      Sham
## 3529      Sham first 4.120204               -16    3 99999      Sham
## 3531      Sham first 4.154694               -16    3 99999      Sham
## 3533      Sham first 4.189184               -16    3 99999      Sham
## 3535      Sham first 4.223673               -16    3 99999      Sham
## 3537      Sham first 4.258163               -16    3 99999      Sham
## 3539      Sham first 4.292653               -16    3 99999      Sham
## 3541      Sham first 4.327143               -16    3 99999      Sham
## 3543      Sham first 4.361633               -16    3 99999      Sham
## 3545      Sham first 4.396122               -16    3 99999      Sham
## 3547      Sham first 4.430612               -16    3 99999      Sham
## 3549      Sham first 4.465102               -16    3 99999      Sham
## 3551      Sham first 4.499592               -16    3 99999      Sham
## 3553      Sham first 4.534082               -16    3 99999      Sham
## 3555      Sham first 4.568571               -16    3 99999      Sham
## 3557      Sham first 4.603061               -16    3 99999      Sham
## 3559      Sham first 4.637551               -16    3 99999      Sham
## 3561      Sham first 4.672041               -16    3 99999      Sham
## 3563      Sham first 4.706531               -16    3 99999      Sham
## 3565      Sham first 4.741020               -16    3 99999      Sham
## 3567      Sham first 4.775510               -16    3 99999      Sham
## 3569      Sham first 4.810000               -16    3 99999      Sham
## 3571      Sham first 3.965833               -15    3 99999      Sham
## 3573      Sham first 3.120000               -15    3 99999      Sham
## 3575      Sham first 3.154490               -15    3 99999      Sham
## 3577      Sham first 3.188980               -15    3 99999      Sham
## 3579      Sham first 3.223469               -15    3 99999      Sham
## 3581      Sham first 3.257959               -15    3 99999      Sham
## 3583      Sham first 3.292449               -15    3 99999      Sham
## 3585      Sham first 3.326939               -15    3 99999      Sham
## 3587      Sham first 3.361429               -15    3 99999      Sham
## 3589      Sham first 3.395918               -15    3 99999      Sham
## 3591      Sham first 3.430408               -15    3 99999      Sham
## 3593      Sham first 3.464898               -15    3 99999      Sham
## 3595      Sham first 3.499388               -15    3 99999      Sham
## 3597      Sham first 3.533878               -15    3 99999      Sham
## 3599      Sham first 3.568367               -15    3 99999      Sham
## 3601      Sham first 3.602857               -15    3 99999      Sham
## 3603      Sham first 3.637347               -15    3 99999      Sham
## 3605      Sham first 3.671837               -15    3 99999      Sham
## 3607      Sham first 3.706327               -15    3 99999      Sham
## 3609      Sham first 3.740816               -15    3 99999      Sham
## 3611      Sham first 3.775306               -15    3 99999      Sham
## 3613      Sham first 3.809796               -15    3 99999      Sham
## 3615      Sham first 3.844286               -15    3 99999      Sham
## 3617      Sham first 3.878776               -15    3 99999      Sham
## 3619      Sham first 3.913265               -15    3 99999      Sham
## 3621      Sham first 3.947755               -15    3 99999      Sham
## 3623      Sham first 3.982245               -15    3 99999      Sham
## 3625      Sham first 4.016735               -15    3 99999      Sham
## 3627      Sham first 4.051224               -15    3 99999      Sham
## 3629      Sham first 4.085714               -15    3 99999      Sham
## 3631      Sham first 4.120204               -15    3 99999      Sham
## 3633      Sham first 4.154694               -15    3 99999      Sham
## 3635      Sham first 4.189184               -15    3 99999      Sham
## 3637      Sham first 4.223673               -15    3 99999      Sham
## 3639      Sham first 4.258163               -15    3 99999      Sham
## 3641      Sham first 4.292653               -15    3 99999      Sham
## 3643      Sham first 4.327143               -15    3 99999      Sham
## 3645      Sham first 4.361633               -15    3 99999      Sham
## 3647      Sham first 4.396122               -15    3 99999      Sham
## 3649      Sham first 4.430612               -15    3 99999      Sham
## 3651      Sham first 4.465102               -15    3 99999      Sham
## 3653      Sham first 4.499592               -15    3 99999      Sham
## 3655      Sham first 4.534082               -15    3 99999      Sham
## 3657      Sham first 4.568571               -15    3 99999      Sham
## 3659      Sham first 4.603061               -15    3 99999      Sham
## 3661      Sham first 4.637551               -15    3 99999      Sham
## 3663      Sham first 4.672041               -15    3 99999      Sham
## 3665      Sham first 4.706531               -15    3 99999      Sham
## 3667      Sham first 4.741020               -15    3 99999      Sham
## 3669      Sham first 4.775510               -15    3 99999      Sham
## 3671      Sham first 4.810000               -15    3 99999      Sham
## 3673      Sham first 3.965833               -14    3 99999      Sham
## 3675      Sham first 3.120000               -14    3 99999      Sham
## 3677      Sham first 3.154490               -14    3 99999      Sham
## 3679      Sham first 3.188980               -14    3 99999      Sham
## 3681      Sham first 3.223469               -14    3 99999      Sham
## 3683      Sham first 3.257959               -14    3 99999      Sham
## 3685      Sham first 3.292449               -14    3 99999      Sham
## 3687      Sham first 3.326939               -14    3 99999      Sham
## 3689      Sham first 3.361429               -14    3 99999      Sham
## 3691      Sham first 3.395918               -14    3 99999      Sham
## 3693      Sham first 3.430408               -14    3 99999      Sham
## 3695      Sham first 3.464898               -14    3 99999      Sham
## 3697      Sham first 3.499388               -14    3 99999      Sham
## 3699      Sham first 3.533878               -14    3 99999      Sham
## 3701      Sham first 3.568367               -14    3 99999      Sham
## 3703      Sham first 3.602857               -14    3 99999      Sham
## 3705      Sham first 3.637347               -14    3 99999      Sham
## 3707      Sham first 3.671837               -14    3 99999      Sham
## 3709      Sham first 3.706327               -14    3 99999      Sham
## 3711      Sham first 3.740816               -14    3 99999      Sham
## 3713      Sham first 3.775306               -14    3 99999      Sham
## 3715      Sham first 3.809796               -14    3 99999      Sham
## 3717      Sham first 3.844286               -14    3 99999      Sham
## 3719      Sham first 3.878776               -14    3 99999      Sham
## 3721      Sham first 3.913265               -14    3 99999      Sham
## 3723      Sham first 3.947755               -14    3 99999      Sham
## 3725      Sham first 3.982245               -14    3 99999      Sham
## 3727      Sham first 4.016735               -14    3 99999      Sham
## 3729      Sham first 4.051224               -14    3 99999      Sham
## 3731      Sham first 4.085714               -14    3 99999      Sham
## 3733      Sham first 4.120204               -14    3 99999      Sham
## 3735      Sham first 4.154694               -14    3 99999      Sham
## 3737      Sham first 4.189184               -14    3 99999      Sham
## 3739      Sham first 4.223673               -14    3 99999      Sham
## 3741      Sham first 4.258163               -14    3 99999      Sham
## 3743      Sham first 4.292653               -14    3 99999      Sham
## 3745      Sham first 4.327143               -14    3 99999      Sham
## 3747      Sham first 4.361633               -14    3 99999      Sham
## 3749      Sham first 4.396122               -14    3 99999      Sham
## 3751      Sham first 4.430612               -14    3 99999      Sham
## 3753      Sham first 4.465102               -14    3 99999      Sham
## 3755      Sham first 4.499592               -14    3 99999      Sham
## 3757      Sham first 4.534082               -14    3 99999      Sham
## 3759      Sham first 4.568571               -14    3 99999      Sham
## 3761      Sham first 4.603061               -14    3 99999      Sham
## 3763      Sham first 4.637551               -14    3 99999      Sham
## 3765      Sham first 4.672041               -14    3 99999      Sham
## 3767      Sham first 4.706531               -14    3 99999      Sham
## 3769      Sham first 4.741020               -14    3 99999      Sham
## 3771      Sham first 4.775510               -14    3 99999      Sham
## 3773      Sham first 4.810000               -14    3 99999      Sham
## 3775      Sham first 3.965833               -13    3 99999      Sham
## 3777      Sham first 3.120000               -13    3 99999      Sham
## 3779      Sham first 3.154490               -13    3 99999      Sham
## 3781      Sham first 3.188980               -13    3 99999      Sham
## 3783      Sham first 3.223469               -13    3 99999      Sham
## 3785      Sham first 3.257959               -13    3 99999      Sham
## 3787      Sham first 3.292449               -13    3 99999      Sham
## 3789      Sham first 3.326939               -13    3 99999      Sham
## 3791      Sham first 3.361429               -13    3 99999      Sham
## 3793      Sham first 3.395918               -13    3 99999      Sham
## 3795      Sham first 3.430408               -13    3 99999      Sham
## 3797      Sham first 3.464898               -13    3 99999      Sham
## 3799      Sham first 3.499388               -13    3 99999      Sham
## 3801      Sham first 3.533878               -13    3 99999      Sham
## 3803      Sham first 3.568367               -13    3 99999      Sham
## 3805      Sham first 3.602857               -13    3 99999      Sham
## 3807      Sham first 3.637347               -13    3 99999      Sham
## 3809      Sham first 3.671837               -13    3 99999      Sham
## 3811      Sham first 3.706327               -13    3 99999      Sham
## 3813      Sham first 3.740816               -13    3 99999      Sham
## 3815      Sham first 3.775306               -13    3 99999      Sham
## 3817      Sham first 3.809796               -13    3 99999      Sham
## 3819      Sham first 3.844286               -13    3 99999      Sham
## 3821      Sham first 3.878776               -13    3 99999      Sham
## 3823      Sham first 3.913265               -13    3 99999      Sham
## 3825      Sham first 3.947755               -13    3 99999      Sham
## 3827      Sham first 3.982245               -13    3 99999      Sham
## 3829      Sham first 4.016735               -13    3 99999      Sham
## 3831      Sham first 4.051224               -13    3 99999      Sham
## 3833      Sham first 4.085714               -13    3 99999      Sham
## 3835      Sham first 4.120204               -13    3 99999      Sham
## 3837      Sham first 4.154694               -13    3 99999      Sham
## 3839      Sham first 4.189184               -13    3 99999      Sham
## 3841      Sham first 4.223673               -13    3 99999      Sham
## 3843      Sham first 4.258163               -13    3 99999      Sham
## 3845      Sham first 4.292653               -13    3 99999      Sham
## 3847      Sham first 4.327143               -13    3 99999      Sham
## 3849      Sham first 4.361633               -13    3 99999      Sham
## 3851      Sham first 4.396122               -13    3 99999      Sham
## 3853      Sham first 4.430612               -13    3 99999      Sham
## 3855      Sham first 4.465102               -13    3 99999      Sham
## 3857      Sham first 4.499592               -13    3 99999      Sham
## 3859      Sham first 4.534082               -13    3 99999      Sham
## 3861      Sham first 4.568571               -13    3 99999      Sham
## 3863      Sham first 4.603061               -13    3 99999      Sham
## 3865      Sham first 4.637551               -13    3 99999      Sham
## 3867      Sham first 4.672041               -13    3 99999      Sham
## 3869      Sham first 4.706531               -13    3 99999      Sham
## 3871      Sham first 4.741020               -13    3 99999      Sham
## 3873      Sham first 4.775510               -13    3 99999      Sham
## 3875      Sham first 4.810000               -13    3 99999      Sham
## 3877      Sham first 3.965833               -12    3 99999      Sham
## 3879      Sham first 3.120000               -12    3 99999      Sham
## 3881      Sham first 3.154490               -12    3 99999      Sham
## 3883      Sham first 3.188980               -12    3 99999      Sham
## 3885      Sham first 3.223469               -12    3 99999      Sham
## 3887      Sham first 3.257959               -12    3 99999      Sham
## 3889      Sham first 3.292449               -12    3 99999      Sham
## 3891      Sham first 3.326939               -12    3 99999      Sham
## 3893      Sham first 3.361429               -12    3 99999      Sham
## 3895      Sham first 3.395918               -12    3 99999      Sham
## 3897      Sham first 3.430408               -12    3 99999      Sham
## 3899      Sham first 3.464898               -12    3 99999      Sham
## 3901      Sham first 3.499388               -12    3 99999      Sham
## 3903      Sham first 3.533878               -12    3 99999      Sham
## 3905      Sham first 3.568367               -12    3 99999      Sham
## 3907      Sham first 3.602857               -12    3 99999      Sham
## 3909      Sham first 3.637347               -12    3 99999      Sham
## 3911      Sham first 3.671837               -12    3 99999      Sham
## 3913      Sham first 3.706327               -12    3 99999      Sham
## 3915      Sham first 3.740816               -12    3 99999      Sham
## 3917      Sham first 3.775306               -12    3 99999      Sham
## 3919      Sham first 3.809796               -12    3 99999      Sham
## 3921      Sham first 3.844286               -12    3 99999      Sham
## 3923      Sham first 3.878776               -12    3 99999      Sham
## 3925      Sham first 3.913265               -12    3 99999      Sham
## 3927      Sham first 3.947755               -12    3 99999      Sham
## 3929      Sham first 3.982245               -12    3 99999      Sham
## 3931      Sham first 4.016735               -12    3 99999      Sham
## 3933      Sham first 4.051224               -12    3 99999      Sham
## 3935      Sham first 4.085714               -12    3 99999      Sham
## 3937      Sham first 4.120204               -12    3 99999      Sham
## 3939      Sham first 4.154694               -12    3 99999      Sham
## 3941      Sham first 4.189184               -12    3 99999      Sham
## 3943      Sham first 4.223673               -12    3 99999      Sham
## 3945      Sham first 4.258163               -12    3 99999      Sham
## 3947      Sham first 4.292653               -12    3 99999      Sham
## 3949      Sham first 4.327143               -12    3 99999      Sham
## 3951      Sham first 4.361633               -12    3 99999      Sham
## 3953      Sham first 4.396122               -12    3 99999      Sham
## 3955      Sham first 4.430612               -12    3 99999      Sham
## 3957      Sham first 4.465102               -12    3 99999      Sham
## 3959      Sham first 4.499592               -12    3 99999      Sham
## 3961      Sham first 4.534082               -12    3 99999      Sham
## 3963      Sham first 4.568571               -12    3 99999      Sham
## 3965      Sham first 4.603061               -12    3 99999      Sham
## 3967      Sham first 4.637551               -12    3 99999      Sham
## 3969      Sham first 4.672041               -12    3 99999      Sham
## 3971      Sham first 4.706531               -12    3 99999      Sham
## 3973      Sham first 4.741020               -12    3 99999      Sham
## 3975      Sham first 4.775510               -12    3 99999      Sham
## 3977      Sham first 4.810000               -12    3 99999      Sham
## 3979      Sham first 3.965833               -11    3 99999      Sham
## 3981      Sham first 3.120000               -11    3 99999      Sham
## 3983      Sham first 3.154490               -11    3 99999      Sham
## 3985      Sham first 3.188980               -11    3 99999      Sham
## 3987      Sham first 3.223469               -11    3 99999      Sham
## 3989      Sham first 3.257959               -11    3 99999      Sham
## 3991      Sham first 3.292449               -11    3 99999      Sham
## 3993      Sham first 3.326939               -11    3 99999      Sham
## 3995      Sham first 3.361429               -11    3 99999      Sham
## 3997      Sham first 3.395918               -11    3 99999      Sham
## 3999      Sham first 3.430408               -11    3 99999      Sham
## 4001      Sham first 3.464898               -11    3 99999      Sham
## 4003      Sham first 3.499388               -11    3 99999      Sham
## 4005      Sham first 3.533878               -11    3 99999      Sham
## 4007      Sham first 3.568367               -11    3 99999      Sham
## 4009      Sham first 3.602857               -11    3 99999      Sham
## 4011      Sham first 3.637347               -11    3 99999      Sham
## 4013      Sham first 3.671837               -11    3 99999      Sham
## 4015      Sham first 3.706327               -11    3 99999      Sham
## 4017      Sham first 3.740816               -11    3 99999      Sham
## 4019      Sham first 3.775306               -11    3 99999      Sham
## 4021      Sham first 3.809796               -11    3 99999      Sham
## 4023      Sham first 3.844286               -11    3 99999      Sham
## 4025      Sham first 3.878776               -11    3 99999      Sham
## 4027      Sham first 3.913265               -11    3 99999      Sham
## 4029      Sham first 3.947755               -11    3 99999      Sham
## 4031      Sham first 3.982245               -11    3 99999      Sham
## 4033      Sham first 4.016735               -11    3 99999      Sham
## 4035      Sham first 4.051224               -11    3 99999      Sham
## 4037      Sham first 4.085714               -11    3 99999      Sham
## 4039      Sham first 4.120204               -11    3 99999      Sham
## 4041      Sham first 4.154694               -11    3 99999      Sham
## 4043      Sham first 4.189184               -11    3 99999      Sham
## 4045      Sham first 4.223673               -11    3 99999      Sham
## 4047      Sham first 4.258163               -11    3 99999      Sham
## 4049      Sham first 4.292653               -11    3 99999      Sham
## 4051      Sham first 4.327143               -11    3 99999      Sham
## 4053      Sham first 4.361633               -11    3 99999      Sham
## 4055      Sham first 4.396122               -11    3 99999      Sham
## 4057      Sham first 4.430612               -11    3 99999      Sham
## 4059      Sham first 4.465102               -11    3 99999      Sham
## 4061      Sham first 4.499592               -11    3 99999      Sham
## 4063      Sham first 4.534082               -11    3 99999      Sham
## 4065      Sham first 4.568571               -11    3 99999      Sham
## 4067      Sham first 4.603061               -11    3 99999      Sham
## 4069      Sham first 4.637551               -11    3 99999      Sham
## 4071      Sham first 4.672041               -11    3 99999      Sham
## 4073      Sham first 4.706531               -11    3 99999      Sham
## 4075      Sham first 4.741020               -11    3 99999      Sham
## 4077      Sham first 4.775510               -11    3 99999      Sham
## 4079      Sham first 4.810000               -11    3 99999      Sham
## 4081      Sham first 3.965833               -10    3 99999      Sham
## 4083      Sham first 3.120000               -10    3 99999      Sham
## 4085      Sham first 3.154490               -10    3 99999      Sham
## 4087      Sham first 3.188980               -10    3 99999      Sham
## 4089      Sham first 3.223469               -10    3 99999      Sham
## 4091      Sham first 3.257959               -10    3 99999      Sham
## 4093      Sham first 3.292449               -10    3 99999      Sham
## 4095      Sham first 3.326939               -10    3 99999      Sham
## 4097      Sham first 3.361429               -10    3 99999      Sham
## 4099      Sham first 3.395918               -10    3 99999      Sham
## 4101      Sham first 3.430408               -10    3 99999      Sham
## 4103      Sham first 3.464898               -10    3 99999      Sham
## 4105      Sham first 3.499388               -10    3 99999      Sham
## 4107      Sham first 3.533878               -10    3 99999      Sham
## 4109      Sham first 3.568367               -10    3 99999      Sham
## 4111      Sham first 3.602857               -10    3 99999      Sham
## 4113      Sham first 3.637347               -10    3 99999      Sham
## 4115      Sham first 3.671837               -10    3 99999      Sham
## 4117      Sham first 3.706327               -10    3 99999      Sham
## 4119      Sham first 3.740816               -10    3 99999      Sham
## 4121      Sham first 3.775306               -10    3 99999      Sham
## 4123      Sham first 3.809796               -10    3 99999      Sham
## 4125      Sham first 3.844286               -10    3 99999      Sham
## 4127      Sham first 3.878776               -10    3 99999      Sham
## 4129      Sham first 3.913265               -10    3 99999      Sham
## 4131      Sham first 3.947755               -10    3 99999      Sham
## 4133      Sham first 3.982245               -10    3 99999      Sham
## 4135      Sham first 4.016735               -10    3 99999      Sham
## 4137      Sham first 4.051224               -10    3 99999      Sham
## 4139      Sham first 4.085714               -10    3 99999      Sham
## 4141      Sham first 4.120204               -10    3 99999      Sham
## 4143      Sham first 4.154694               -10    3 99999      Sham
## 4145      Sham first 4.189184               -10    3 99999      Sham
## 4147      Sham first 4.223673               -10    3 99999      Sham
## 4149      Sham first 4.258163               -10    3 99999      Sham
## 4151      Sham first 4.292653               -10    3 99999      Sham
## 4153      Sham first 4.327143               -10    3 99999      Sham
## 4155      Sham first 4.361633               -10    3 99999      Sham
## 4157      Sham first 4.396122               -10    3 99999      Sham
## 4159      Sham first 4.430612               -10    3 99999      Sham
## 4161      Sham first 4.465102               -10    3 99999      Sham
## 4163      Sham first 4.499592               -10    3 99999      Sham
## 4165      Sham first 4.534082               -10    3 99999      Sham
## 4167      Sham first 4.568571               -10    3 99999      Sham
## 4169      Sham first 4.603061               -10    3 99999      Sham
## 4171      Sham first 4.637551               -10    3 99999      Sham
## 4173      Sham first 4.672041               -10    3 99999      Sham
## 4175      Sham first 4.706531               -10    3 99999      Sham
## 4177      Sham first 4.741020               -10    3 99999      Sham
## 4179      Sham first 4.775510               -10    3 99999      Sham
## 4181      Sham first 4.810000               -10    3 99999      Sham
## 4183      Sham first 3.965833                -9    3 99999      Sham
## 4185      Sham first 3.120000                -9    3 99999      Sham
## 4187      Sham first 3.154490                -9    3 99999      Sham
## 4189      Sham first 3.188980                -9    3 99999      Sham
## 4191      Sham first 3.223469                -9    3 99999      Sham
## 4193      Sham first 3.257959                -9    3 99999      Sham
## 4195      Sham first 3.292449                -9    3 99999      Sham
## 4197      Sham first 3.326939                -9    3 99999      Sham
## 4199      Sham first 3.361429                -9    3 99999      Sham
## 4201      Sham first 3.395918                -9    3 99999      Sham
## 4203      Sham first 3.430408                -9    3 99999      Sham
## 4205      Sham first 3.464898                -9    3 99999      Sham
## 4207      Sham first 3.499388                -9    3 99999      Sham
## 4209      Sham first 3.533878                -9    3 99999      Sham
## 4211      Sham first 3.568367                -9    3 99999      Sham
## 4213      Sham first 3.602857                -9    3 99999      Sham
## 4215      Sham first 3.637347                -9    3 99999      Sham
## 4217      Sham first 3.671837                -9    3 99999      Sham
## 4219      Sham first 3.706327                -9    3 99999      Sham
## 4221      Sham first 3.740816                -9    3 99999      Sham
## 4223      Sham first 3.775306                -9    3 99999      Sham
## 4225      Sham first 3.809796                -9    3 99999      Sham
## 4227      Sham first 3.844286                -9    3 99999      Sham
## 4229      Sham first 3.878776                -9    3 99999      Sham
## 4231      Sham first 3.913265                -9    3 99999      Sham
## 4233      Sham first 3.947755                -9    3 99999      Sham
## 4235      Sham first 3.982245                -9    3 99999      Sham
## 4237      Sham first 4.016735                -9    3 99999      Sham
## 4239      Sham first 4.051224                -9    3 99999      Sham
## 4241      Sham first 4.085714                -9    3 99999      Sham
## 4243      Sham first 4.120204                -9    3 99999      Sham
## 4245      Sham first 4.154694                -9    3 99999      Sham
## 4247      Sham first 4.189184                -9    3 99999      Sham
## 4249      Sham first 4.223673                -9    3 99999      Sham
## 4251      Sham first 4.258163                -9    3 99999      Sham
## 4253      Sham first 4.292653                -9    3 99999      Sham
## 4255      Sham first 4.327143                -9    3 99999      Sham
## 4257      Sham first 4.361633                -9    3 99999      Sham
## 4259      Sham first 4.396122                -9    3 99999      Sham
## 4261      Sham first 4.430612                -9    3 99999      Sham
## 4263      Sham first 4.465102                -9    3 99999      Sham
## 4265      Sham first 4.499592                -9    3 99999      Sham
## 4267      Sham first 4.534082                -9    3 99999      Sham
## 4269      Sham first 4.568571                -9    3 99999      Sham
## 4271      Sham first 4.603061                -9    3 99999      Sham
## 4273      Sham first 4.637551                -9    3 99999      Sham
## 4275      Sham first 4.672041                -9    3 99999      Sham
## 4277      Sham first 4.706531                -9    3 99999      Sham
## 4279      Sham first 4.741020                -9    3 99999      Sham
## 4281      Sham first 4.775510                -9    3 99999      Sham
## 4283      Sham first 4.810000                -9    3 99999      Sham
## 4285      Sham first 3.965833                -8    3 99999      Sham
## 4287      Sham first 3.120000                -8    3 99999      Sham
## 4289      Sham first 3.154490                -8    3 99999      Sham
## 4291      Sham first 3.188980                -8    3 99999      Sham
## 4293      Sham first 3.223469                -8    3 99999      Sham
## 4295      Sham first 3.257959                -8    3 99999      Sham
## 4297      Sham first 3.292449                -8    3 99999      Sham
## 4299      Sham first 3.326939                -8    3 99999      Sham
## 4301      Sham first 3.361429                -8    3 99999      Sham
## 4303      Sham first 3.395918                -8    3 99999      Sham
## 4305      Sham first 3.430408                -8    3 99999      Sham
## 4307      Sham first 3.464898                -8    3 99999      Sham
## 4309      Sham first 3.499388                -8    3 99999      Sham
## 4311      Sham first 3.533878                -8    3 99999      Sham
## 4313      Sham first 3.568367                -8    3 99999      Sham
## 4315      Sham first 3.602857                -8    3 99999      Sham
## 4317      Sham first 3.637347                -8    3 99999      Sham
## 4319      Sham first 3.671837                -8    3 99999      Sham
## 4321      Sham first 3.706327                -8    3 99999      Sham
## 4323      Sham first 3.740816                -8    3 99999      Sham
## 4325      Sham first 3.775306                -8    3 99999      Sham
## 4327      Sham first 3.809796                -8    3 99999      Sham
## 4329      Sham first 3.844286                -8    3 99999      Sham
## 4331      Sham first 3.878776                -8    3 99999      Sham
## 4333      Sham first 3.913265                -8    3 99999      Sham
## 4335      Sham first 3.947755                -8    3 99999      Sham
## 4337      Sham first 3.982245                -8    3 99999      Sham
## 4339      Sham first 4.016735                -8    3 99999      Sham
## 4341      Sham first 4.051224                -8    3 99999      Sham
## 4343      Sham first 4.085714                -8    3 99999      Sham
## 4345      Sham first 4.120204                -8    3 99999      Sham
## 4347      Sham first 4.154694                -8    3 99999      Sham
## 4349      Sham first 4.189184                -8    3 99999      Sham
## 4351      Sham first 4.223673                -8    3 99999      Sham
## 4353      Sham first 4.258163                -8    3 99999      Sham
## 4355      Sham first 4.292653                -8    3 99999      Sham
## 4357      Sham first 4.327143                -8    3 99999      Sham
## 4359      Sham first 4.361633                -8    3 99999      Sham
## 4361      Sham first 4.396122                -8    3 99999      Sham
## 4363      Sham first 4.430612                -8    3 99999      Sham
## 4365      Sham first 4.465102                -8    3 99999      Sham
## 4367      Sham first 4.499592                -8    3 99999      Sham
## 4369      Sham first 4.534082                -8    3 99999      Sham
## 4371      Sham first 4.568571                -8    3 99999      Sham
## 4373      Sham first 4.603061                -8    3 99999      Sham
## 4375      Sham first 4.637551                -8    3 99999      Sham
## 4377      Sham first 4.672041                -8    3 99999      Sham
## 4379      Sham first 4.706531                -8    3 99999      Sham
## 4381      Sham first 4.741020                -8    3 99999      Sham
## 4383      Sham first 4.775510                -8    3 99999      Sham
## 4385      Sham first 4.810000                -8    3 99999      Sham
## 4387      Sham first 3.965833                -7    3 99999      Sham
## 4389      Sham first 3.120000                -7    3 99999      Sham
## 4391      Sham first 3.154490                -7    3 99999      Sham
## 4393      Sham first 3.188980                -7    3 99999      Sham
## 4395      Sham first 3.223469                -7    3 99999      Sham
## 4397      Sham first 3.257959                -7    3 99999      Sham
## 4399      Sham first 3.292449                -7    3 99999      Sham
## 4401      Sham first 3.326939                -7    3 99999      Sham
## 4403      Sham first 3.361429                -7    3 99999      Sham
## 4405      Sham first 3.395918                -7    3 99999      Sham
## 4407      Sham first 3.430408                -7    3 99999      Sham
## 4409      Sham first 3.464898                -7    3 99999      Sham
## 4411      Sham first 3.499388                -7    3 99999      Sham
## 4413      Sham first 3.533878                -7    3 99999      Sham
## 4415      Sham first 3.568367                -7    3 99999      Sham
## 4417      Sham first 3.602857                -7    3 99999      Sham
## 4419      Sham first 3.637347                -7    3 99999      Sham
## 4421      Sham first 3.671837                -7    3 99999      Sham
## 4423      Sham first 3.706327                -7    3 99999      Sham
## 4425      Sham first 3.740816                -7    3 99999      Sham
## 4427      Sham first 3.775306                -7    3 99999      Sham
## 4429      Sham first 3.809796                -7    3 99999      Sham
## 4431      Sham first 3.844286                -7    3 99999      Sham
## 4433      Sham first 3.878776                -7    3 99999      Sham
## 4435      Sham first 3.913265                -7    3 99999      Sham
## 4437      Sham first 3.947755                -7    3 99999      Sham
## 4439      Sham first 3.982245                -7    3 99999      Sham
## 4441      Sham first 4.016735                -7    3 99999      Sham
## 4443      Sham first 4.051224                -7    3 99999      Sham
## 4445      Sham first 4.085714                -7    3 99999      Sham
## 4447      Sham first 4.120204                -7    3 99999      Sham
## 4449      Sham first 4.154694                -7    3 99999      Sham
## 4451      Sham first 4.189184                -7    3 99999      Sham
## 4453      Sham first 4.223673                -7    3 99999      Sham
## 4455      Sham first 4.258163                -7    3 99999      Sham
## 4457      Sham first 4.292653                -7    3 99999      Sham
## 4459      Sham first 4.327143                -7    3 99999      Sham
## 4461      Sham first 4.361633                -7    3 99999      Sham
## 4463      Sham first 4.396122                -7    3 99999      Sham
## 4465      Sham first 4.430612                -7    3 99999      Sham
## 4467      Sham first 4.465102                -7    3 99999      Sham
## 4469      Sham first 4.499592                -7    3 99999      Sham
## 4471      Sham first 4.534082                -7    3 99999      Sham
## 4473      Sham first 4.568571                -7    3 99999      Sham
## 4475      Sham first 4.603061                -7    3 99999      Sham
## 4477      Sham first 4.637551                -7    3 99999      Sham
## 4479      Sham first 4.672041                -7    3 99999      Sham
## 4481      Sham first 4.706531                -7    3 99999      Sham
## 4483      Sham first 4.741020                -7    3 99999      Sham
## 4485      Sham first 4.775510                -7    3 99999      Sham
## 4487      Sham first 4.810000                -7    3 99999      Sham
## 4489      Sham first 3.965833                -6    3 99999      Sham
## 4491      Sham first 3.120000                -6    3 99999      Sham
## 4493      Sham first 3.154490                -6    3 99999      Sham
## 4495      Sham first 3.188980                -6    3 99999      Sham
## 4497      Sham first 3.223469                -6    3 99999      Sham
## 4499      Sham first 3.257959                -6    3 99999      Sham
## 4501      Sham first 3.292449                -6    3 99999      Sham
## 4503      Sham first 3.326939                -6    3 99999      Sham
## 4505      Sham first 3.361429                -6    3 99999      Sham
## 4507      Sham first 3.395918                -6    3 99999      Sham
## 4509      Sham first 3.430408                -6    3 99999      Sham
## 4511      Sham first 3.464898                -6    3 99999      Sham
## 4513      Sham first 3.499388                -6    3 99999      Sham
## 4515      Sham first 3.533878                -6    3 99999      Sham
## 4517      Sham first 3.568367                -6    3 99999      Sham
## 4519      Sham first 3.602857                -6    3 99999      Sham
## 4521      Sham first 3.637347                -6    3 99999      Sham
## 4523      Sham first 3.671837                -6    3 99999      Sham
## 4525      Sham first 3.706327                -6    3 99999      Sham
## 4527      Sham first 3.740816                -6    3 99999      Sham
## 4529      Sham first 3.775306                -6    3 99999      Sham
## 4531      Sham first 3.809796                -6    3 99999      Sham
## 4533      Sham first 3.844286                -6    3 99999      Sham
## 4535      Sham first 3.878776                -6    3 99999      Sham
## 4537      Sham first 3.913265                -6    3 99999      Sham
## 4539      Sham first 3.947755                -6    3 99999      Sham
## 4541      Sham first 3.982245                -6    3 99999      Sham
## 4543      Sham first 4.016735                -6    3 99999      Sham
## 4545      Sham first 4.051224                -6    3 99999      Sham
## 4547      Sham first 4.085714                -6    3 99999      Sham
## 4549      Sham first 4.120204                -6    3 99999      Sham
## 4551      Sham first 4.154694                -6    3 99999      Sham
## 4553      Sham first 4.189184                -6    3 99999      Sham
## 4555      Sham first 4.223673                -6    3 99999      Sham
## 4557      Sham first 4.258163                -6    3 99999      Sham
## 4559      Sham first 4.292653                -6    3 99999      Sham
## 4561      Sham first 4.327143                -6    3 99999      Sham
## 4563      Sham first 4.361633                -6    3 99999      Sham
## 4565      Sham first 4.396122                -6    3 99999      Sham
## 4567      Sham first 4.430612                -6    3 99999      Sham
## 4569      Sham first 4.465102                -6    3 99999      Sham
## 4571      Sham first 4.499592                -6    3 99999      Sham
## 4573      Sham first 4.534082                -6    3 99999      Sham
## 4575      Sham first 4.568571                -6    3 99999      Sham
## 4577      Sham first 4.603061                -6    3 99999      Sham
## 4579      Sham first 4.637551                -6    3 99999      Sham
## 4581      Sham first 4.672041                -6    3 99999      Sham
## 4583      Sham first 4.706531                -6    3 99999      Sham
## 4585      Sham first 4.741020                -6    3 99999      Sham
## 4587      Sham first 4.775510                -6    3 99999      Sham
## 4589      Sham first 4.810000                -6    3 99999      Sham
## 4591      Sham first 3.965833                -5    3 99999      Sham
## 4593      Sham first 3.120000                -5    3 99999      Sham
## 4595      Sham first 3.154490                -5    3 99999      Sham
## 4597      Sham first 3.188980                -5    3 99999      Sham
## 4599      Sham first 3.223469                -5    3 99999      Sham
## 4601      Sham first 3.257959                -5    3 99999      Sham
## 4603      Sham first 3.292449                -5    3 99999      Sham
## 4605      Sham first 3.326939                -5    3 99999      Sham
## 4607      Sham first 3.361429                -5    3 99999      Sham
## 4609      Sham first 3.395918                -5    3 99999      Sham
## 4611      Sham first 3.430408                -5    3 99999      Sham
## 4613      Sham first 3.464898                -5    3 99999      Sham
## 4615      Sham first 3.499388                -5    3 99999      Sham
## 4617      Sham first 3.533878                -5    3 99999      Sham
## 4619      Sham first 3.568367                -5    3 99999      Sham
## 4621      Sham first 3.602857                -5    3 99999      Sham
## 4623      Sham first 3.637347                -5    3 99999      Sham
## 4625      Sham first 3.671837                -5    3 99999      Sham
## 4627      Sham first 3.706327                -5    3 99999      Sham
## 4629      Sham first 3.740816                -5    3 99999      Sham
## 4631      Sham first 3.775306                -5    3 99999      Sham
## 4633      Sham first 3.809796                -5    3 99999      Sham
## 4635      Sham first 3.844286                -5    3 99999      Sham
## 4637      Sham first 3.878776                -5    3 99999      Sham
## 4639      Sham first 3.913265                -5    3 99999      Sham
## 4641      Sham first 3.947755                -5    3 99999      Sham
## 4643      Sham first 3.982245                -5    3 99999      Sham
## 4645      Sham first 4.016735                -5    3 99999      Sham
## 4647      Sham first 4.051224                -5    3 99999      Sham
## 4649      Sham first 4.085714                -5    3 99999      Sham
## 4651      Sham first 4.120204                -5    3 99999      Sham
## 4653      Sham first 4.154694                -5    3 99999      Sham
## 4655      Sham first 4.189184                -5    3 99999      Sham
## 4657      Sham first 4.223673                -5    3 99999      Sham
## 4659      Sham first 4.258163                -5    3 99999      Sham
## 4661      Sham first 4.292653                -5    3 99999      Sham
## 4663      Sham first 4.327143                -5    3 99999      Sham
## 4665      Sham first 4.361633                -5    3 99999      Sham
## 4667      Sham first 4.396122                -5    3 99999      Sham
## 4669      Sham first 4.430612                -5    3 99999      Sham
## 4671      Sham first 4.465102                -5    3 99999      Sham
## 4673      Sham first 4.499592                -5    3 99999      Sham
## 4675      Sham first 4.534082                -5    3 99999      Sham
## 4677      Sham first 4.568571                -5    3 99999      Sham
## 4679      Sham first 4.603061                -5    3 99999      Sham
## 4681      Sham first 4.637551                -5    3 99999      Sham
## 4683      Sham first 4.672041                -5    3 99999      Sham
## 4685      Sham first 4.706531                -5    3 99999      Sham
## 4687      Sham first 4.741020                -5    3 99999      Sham
## 4689      Sham first 4.775510                -5    3 99999      Sham
## 4691      Sham first 4.810000                -5    3 99999      Sham
## 4693      Sham first 3.965833                -4    3 99999      Sham
## 4695      Sham first 3.120000                -4    3 99999      Sham
## 4697      Sham first 3.154490                -4    3 99999      Sham
## 4699      Sham first 3.188980                -4    3 99999      Sham
## 4701      Sham first 3.223469                -4    3 99999      Sham
## 4703      Sham first 3.257959                -4    3 99999      Sham
## 4705      Sham first 3.292449                -4    3 99999      Sham
## 4707      Sham first 3.326939                -4    3 99999      Sham
## 4709      Sham first 3.361429                -4    3 99999      Sham
## 4711      Sham first 3.395918                -4    3 99999      Sham
## 4713      Sham first 3.430408                -4    3 99999      Sham
## 4715      Sham first 3.464898                -4    3 99999      Sham
## 4717      Sham first 3.499388                -4    3 99999      Sham
## 4719      Sham first 3.533878                -4    3 99999      Sham
## 4721      Sham first 3.568367                -4    3 99999      Sham
## 4723      Sham first 3.602857                -4    3 99999      Sham
## 4725      Sham first 3.637347                -4    3 99999      Sham
## 4727      Sham first 3.671837                -4    3 99999      Sham
## 4729      Sham first 3.706327                -4    3 99999      Sham
## 4731      Sham first 3.740816                -4    3 99999      Sham
## 4733      Sham first 3.775306                -4    3 99999      Sham
## 4735      Sham first 3.809796                -4    3 99999      Sham
## 4737      Sham first 3.844286                -4    3 99999      Sham
## 4739      Sham first 3.878776                -4    3 99999      Sham
## 4741      Sham first 3.913265                -4    3 99999      Sham
## 4743      Sham first 3.947755                -4    3 99999      Sham
## 4745      Sham first 3.982245                -4    3 99999      Sham
## 4747      Sham first 4.016735                -4    3 99999      Sham
## 4749      Sham first 4.051224                -4    3 99999      Sham
## 4751      Sham first 4.085714                -4    3 99999      Sham
## 4753      Sham first 4.120204                -4    3 99999      Sham
## 4755      Sham first 4.154694                -4    3 99999      Sham
## 4757      Sham first 4.189184                -4    3 99999      Sham
## 4759      Sham first 4.223673                -4    3 99999      Sham
## 4761      Sham first 4.258163                -4    3 99999      Sham
## 4763      Sham first 4.292653                -4    3 99999      Sham
## 4765      Sham first 4.327143                -4    3 99999      Sham
## 4767      Sham first 4.361633                -4    3 99999      Sham
## 4769      Sham first 4.396122                -4    3 99999      Sham
## 4771      Sham first 4.430612                -4    3 99999      Sham
## 4773      Sham first 4.465102                -4    3 99999      Sham
## 4775      Sham first 4.499592                -4    3 99999      Sham
## 4777      Sham first 4.534082                -4    3 99999      Sham
## 4779      Sham first 4.568571                -4    3 99999      Sham
## 4781      Sham first 4.603061                -4    3 99999      Sham
## 4783      Sham first 4.637551                -4    3 99999      Sham
## 4785      Sham first 4.672041                -4    3 99999      Sham
## 4787      Sham first 4.706531                -4    3 99999      Sham
## 4789      Sham first 4.741020                -4    3 99999      Sham
## 4791      Sham first 4.775510                -4    3 99999      Sham
## 4793      Sham first 4.810000                -4    3 99999      Sham
## 4795      Sham first 3.965833                -3    3 99999      Sham
## 4797      Sham first 3.120000                -3    3 99999      Sham
## 4799      Sham first 3.154490                -3    3 99999      Sham
## 4801      Sham first 3.188980                -3    3 99999      Sham
## 4803      Sham first 3.223469                -3    3 99999      Sham
## 4805      Sham first 3.257959                -3    3 99999      Sham
## 4807      Sham first 3.292449                -3    3 99999      Sham
## 4809      Sham first 3.326939                -3    3 99999      Sham
## 4811      Sham first 3.361429                -3    3 99999      Sham
## 4813      Sham first 3.395918                -3    3 99999      Sham
## 4815      Sham first 3.430408                -3    3 99999      Sham
## 4817      Sham first 3.464898                -3    3 99999      Sham
## 4819      Sham first 3.499388                -3    3 99999      Sham
## 4821      Sham first 3.533878                -3    3 99999      Sham
## 4823      Sham first 3.568367                -3    3 99999      Sham
## 4825      Sham first 3.602857                -3    3 99999      Sham
## 4827      Sham first 3.637347                -3    3 99999      Sham
## 4829      Sham first 3.671837                -3    3 99999      Sham
## 4831      Sham first 3.706327                -3    3 99999      Sham
## 4833      Sham first 3.740816                -3    3 99999      Sham
## 4835      Sham first 3.775306                -3    3 99999      Sham
## 4837      Sham first 3.809796                -3    3 99999      Sham
## 4839      Sham first 3.844286                -3    3 99999      Sham
## 4841      Sham first 3.878776                -3    3 99999      Sham
## 4843      Sham first 3.913265                -3    3 99999      Sham
## 4845      Sham first 3.947755                -3    3 99999      Sham
## 4847      Sham first 3.982245                -3    3 99999      Sham
## 4849      Sham first 4.016735                -3    3 99999      Sham
## 4851      Sham first 4.051224                -3    3 99999      Sham
## 4853      Sham first 4.085714                -3    3 99999      Sham
## 4855      Sham first 4.120204                -3    3 99999      Sham
## 4857      Sham first 4.154694                -3    3 99999      Sham
## 4859      Sham first 4.189184                -3    3 99999      Sham
## 4861      Sham first 4.223673                -3    3 99999      Sham
## 4863      Sham first 4.258163                -3    3 99999      Sham
## 4865      Sham first 4.292653                -3    3 99999      Sham
## 4867      Sham first 4.327143                -3    3 99999      Sham
## 4869      Sham first 4.361633                -3    3 99999      Sham
## 4871      Sham first 4.396122                -3    3 99999      Sham
## 4873      Sham first 4.430612                -3    3 99999      Sham
## 4875      Sham first 4.465102                -3    3 99999      Sham
## 4877      Sham first 4.499592                -3    3 99999      Sham
## 4879      Sham first 4.534082                -3    3 99999      Sham
## 4881      Sham first 4.568571                -3    3 99999      Sham
## 4883      Sham first 4.603061                -3    3 99999      Sham
## 4885      Sham first 4.637551                -3    3 99999      Sham
## 4887      Sham first 4.672041                -3    3 99999      Sham
## 4889      Sham first 4.706531                -3    3 99999      Sham
## 4891      Sham first 4.741020                -3    3 99999      Sham
## 4893      Sham first 4.775510                -3    3 99999      Sham
## 4895      Sham first 4.810000                -3    3 99999      Sham
## 4897      Sham first 3.965833                -2    3 99999      Sham
## 4899      Sham first 3.120000                -2    3 99999      Sham
## 4901      Sham first 3.154490                -2    3 99999      Sham
## 4903      Sham first 3.188980                -2    3 99999      Sham
## 4905      Sham first 3.223469                -2    3 99999      Sham
## 4907      Sham first 3.257959                -2    3 99999      Sham
## 4909      Sham first 3.292449                -2    3 99999      Sham
## 4911      Sham first 3.326939                -2    3 99999      Sham
## 4913      Sham first 3.361429                -2    3 99999      Sham
## 4915      Sham first 3.395918                -2    3 99999      Sham
## 4917      Sham first 3.430408                -2    3 99999      Sham
## 4919      Sham first 3.464898                -2    3 99999      Sham
## 4921      Sham first 3.499388                -2    3 99999      Sham
## 4923      Sham first 3.533878                -2    3 99999      Sham
## 4925      Sham first 3.568367                -2    3 99999      Sham
## 4927      Sham first 3.602857                -2    3 99999      Sham
## 4929      Sham first 3.637347                -2    3 99999      Sham
## 4931      Sham first 3.671837                -2    3 99999      Sham
## 4933      Sham first 3.706327                -2    3 99999      Sham
## 4935      Sham first 3.740816                -2    3 99999      Sham
## 4937      Sham first 3.775306                -2    3 99999      Sham
## 4939      Sham first 3.809796                -2    3 99999      Sham
## 4941      Sham first 3.844286                -2    3 99999      Sham
## 4943      Sham first 3.878776                -2    3 99999      Sham
## 4945      Sham first 3.913265                -2    3 99999      Sham
## 4947      Sham first 3.947755                -2    3 99999      Sham
## 4949      Sham first 3.982245                -2    3 99999      Sham
## 4951      Sham first 4.016735                -2    3 99999      Sham
## 4953      Sham first 4.051224                -2    3 99999      Sham
## 4955      Sham first 4.085714                -2    3 99999      Sham
## 4957      Sham first 4.120204                -2    3 99999      Sham
## 4959      Sham first 4.154694                -2    3 99999      Sham
## 4961      Sham first 4.189184                -2    3 99999      Sham
## 4963      Sham first 4.223673                -2    3 99999      Sham
## 4965      Sham first 4.258163                -2    3 99999      Sham
## 4967      Sham first 4.292653                -2    3 99999      Sham
## 4969      Sham first 4.327143                -2    3 99999      Sham
## 4971      Sham first 4.361633                -2    3 99999      Sham
## 4973      Sham first 4.396122                -2    3 99999      Sham
## 4975      Sham first 4.430612                -2    3 99999      Sham
## 4977      Sham first 4.465102                -2    3 99999      Sham
## 4979      Sham first 4.499592                -2    3 99999      Sham
## 4981      Sham first 4.534082                -2    3 99999      Sham
## 4983      Sham first 4.568571                -2    3 99999      Sham
## 4985      Sham first 4.603061                -2    3 99999      Sham
## 4987      Sham first 4.637551                -2    3 99999      Sham
## 4989      Sham first 4.672041                -2    3 99999      Sham
## 4991      Sham first 4.706531                -2    3 99999      Sham
## 4993      Sham first 4.741020                -2    3 99999      Sham
## 4995      Sham first 4.775510                -2    3 99999      Sham
## 4997      Sham first 4.810000                -2    3 99999      Sham
## 4999      Sham first 3.965833                -1    3 99999      Sham
## 5001      Sham first 3.120000                -1    3 99999      Sham
## 5003      Sham first 3.154490                -1    3 99999      Sham
## 5005      Sham first 3.188980                -1    3 99999      Sham
## 5007      Sham first 3.223469                -1    3 99999      Sham
## 5009      Sham first 3.257959                -1    3 99999      Sham
## 5011      Sham first 3.292449                -1    3 99999      Sham
## 5013      Sham first 3.326939                -1    3 99999      Sham
## 5015      Sham first 3.361429                -1    3 99999      Sham
## 5017      Sham first 3.395918                -1    3 99999      Sham
## 5019      Sham first 3.430408                -1    3 99999      Sham
## 5021      Sham first 3.464898                -1    3 99999      Sham
## 5023      Sham first 3.499388                -1    3 99999      Sham
## 5025      Sham first 3.533878                -1    3 99999      Sham
## 5027      Sham first 3.568367                -1    3 99999      Sham
## 5029      Sham first 3.602857                -1    3 99999      Sham
## 5031      Sham first 3.637347                -1    3 99999      Sham
## 5033      Sham first 3.671837                -1    3 99999      Sham
## 5035      Sham first 3.706327                -1    3 99999      Sham
## 5037      Sham first 3.740816                -1    3 99999      Sham
## 5039      Sham first 3.775306                -1    3 99999      Sham
## 5041      Sham first 3.809796                -1    3 99999      Sham
## 5043      Sham first 3.844286                -1    3 99999      Sham
## 5045      Sham first 3.878776                -1    3 99999      Sham
## 5047      Sham first 3.913265                -1    3 99999      Sham
## 5049      Sham first 3.947755                -1    3 99999      Sham
## 5051      Sham first 3.982245                -1    3 99999      Sham
## 5053      Sham first 4.016735                -1    3 99999      Sham
## 5055      Sham first 4.051224                -1    3 99999      Sham
## 5057      Sham first 4.085714                -1    3 99999      Sham
## 5059      Sham first 4.120204                -1    3 99999      Sham
## 5061      Sham first 4.154694                -1    3 99999      Sham
## 5063      Sham first 4.189184                -1    3 99999      Sham
## 5065      Sham first 4.223673                -1    3 99999      Sham
## 5067      Sham first 4.258163                -1    3 99999      Sham
## 5069      Sham first 4.292653                -1    3 99999      Sham
## 5071      Sham first 4.327143                -1    3 99999      Sham
## 5073      Sham first 4.361633                -1    3 99999      Sham
## 5075      Sham first 4.396122                -1    3 99999      Sham
## 5077      Sham first 4.430612                -1    3 99999      Sham
## 5079      Sham first 4.465102                -1    3 99999      Sham
## 5081      Sham first 4.499592                -1    3 99999      Sham
## 5083      Sham first 4.534082                -1    3 99999      Sham
## 5085      Sham first 4.568571                -1    3 99999      Sham
## 5087      Sham first 4.603061                -1    3 99999      Sham
## 5089      Sham first 4.637551                -1    3 99999      Sham
## 5091      Sham first 4.672041                -1    3 99999      Sham
## 5093      Sham first 4.706531                -1    3 99999      Sham
## 5095      Sham first 4.741020                -1    3 99999      Sham
## 5097      Sham first 4.775510                -1    3 99999      Sham
## 5099      Sham first 4.810000                -1    3 99999      Sham
## 5204  Weighted first 3.965833                 1    3 99999      Sham
## 5206  Weighted first 3.120000                 1    3 99999      Sham
## 5208  Weighted first 3.154490                 1    3 99999      Sham
## 5210  Weighted first 3.188980                 1    3 99999      Sham
## 5212  Weighted first 3.223469                 1    3 99999      Sham
## 5214  Weighted first 3.257959                 1    3 99999      Sham
## 5216  Weighted first 3.292449                 1    3 99999      Sham
## 5218  Weighted first 3.326939                 1    3 99999      Sham
## 5220  Weighted first 3.361429                 1    3 99999      Sham
## 5222  Weighted first 3.395918                 1    3 99999      Sham
## 5224  Weighted first 3.430408                 1    3 99999      Sham
## 5226  Weighted first 3.464898                 1    3 99999      Sham
## 5228  Weighted first 3.499388                 1    3 99999      Sham
## 5230  Weighted first 3.533878                 1    3 99999      Sham
## 5232  Weighted first 3.568367                 1    3 99999      Sham
## 5234  Weighted first 3.602857                 1    3 99999      Sham
## 5236  Weighted first 3.637347                 1    3 99999      Sham
## 5238  Weighted first 3.671837                 1    3 99999      Sham
## 5240  Weighted first 3.706327                 1    3 99999      Sham
## 5242  Weighted first 3.740816                 1    3 99999      Sham
## 5244  Weighted first 3.775306                 1    3 99999      Sham
## 5246  Weighted first 3.809796                 1    3 99999      Sham
## 5248  Weighted first 3.844286                 1    3 99999      Sham
## 5250  Weighted first 3.878776                 1    3 99999      Sham
## 5252  Weighted first 3.913265                 1    3 99999      Sham
## 5254  Weighted first 3.947755                 1    3 99999      Sham
## 5256  Weighted first 3.982245                 1    3 99999      Sham
## 5258  Weighted first 4.016735                 1    3 99999      Sham
## 5260  Weighted first 4.051224                 1    3 99999      Sham
## 5262  Weighted first 4.085714                 1    3 99999      Sham
## 5264  Weighted first 4.120204                 1    3 99999      Sham
## 5266  Weighted first 4.154694                 1    3 99999      Sham
## 5268  Weighted first 4.189184                 1    3 99999      Sham
## 5270  Weighted first 4.223673                 1    3 99999      Sham
## 5272  Weighted first 4.258163                 1    3 99999      Sham
## 5274  Weighted first 4.292653                 1    3 99999      Sham
## 5276  Weighted first 4.327143                 1    3 99999      Sham
## 5278  Weighted first 4.361633                 1    3 99999      Sham
## 5280  Weighted first 4.396122                 1    3 99999      Sham
## 5282  Weighted first 4.430612                 1    3 99999      Sham
## 5284  Weighted first 4.465102                 1    3 99999      Sham
## 5286  Weighted first 4.499592                 1    3 99999      Sham
## 5288  Weighted first 4.534082                 1    3 99999      Sham
## 5290  Weighted first 4.568571                 1    3 99999      Sham
## 5292  Weighted first 4.603061                 1    3 99999      Sham
## 5294  Weighted first 4.637551                 1    3 99999      Sham
## 5296  Weighted first 4.672041                 1    3 99999      Sham
## 5298  Weighted first 4.706531                 1    3 99999      Sham
## 5300  Weighted first 4.741020                 1    3 99999      Sham
## 5302  Weighted first 4.775510                 1    3 99999      Sham
## 5304  Weighted first 4.810000                 1    3 99999      Sham
## 5306  Weighted first 3.965833                 2    3 99999      Sham
## 5308  Weighted first 3.120000                 2    3 99999      Sham
## 5310  Weighted first 3.154490                 2    3 99999      Sham
## 5312  Weighted first 3.188980                 2    3 99999      Sham
## 5314  Weighted first 3.223469                 2    3 99999      Sham
## 5316  Weighted first 3.257959                 2    3 99999      Sham
## 5318  Weighted first 3.292449                 2    3 99999      Sham
## 5320  Weighted first 3.326939                 2    3 99999      Sham
## 5322  Weighted first 3.361429                 2    3 99999      Sham
## 5324  Weighted first 3.395918                 2    3 99999      Sham
## 5326  Weighted first 3.430408                 2    3 99999      Sham
## 5328  Weighted first 3.464898                 2    3 99999      Sham
## 5330  Weighted first 3.499388                 2    3 99999      Sham
## 5332  Weighted first 3.533878                 2    3 99999      Sham
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## 5396  Weighted first 4.637551                 2    3 99999      Sham
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## 5400  Weighted first 4.706531                 2    3 99999      Sham
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## 5408  Weighted first 3.965833                 3    3 99999      Sham
## 5410  Weighted first 3.120000                 3    3 99999      Sham
## 5412  Weighted first 3.154490                 3    3 99999      Sham
## 5414  Weighted first 3.188980                 3    3 99999      Sham
## 5416  Weighted first 3.223469                 3    3 99999      Sham
## 5418  Weighted first 3.257959                 3    3 99999      Sham
## 5420  Weighted first 3.292449                 3    3 99999      Sham
## 5422  Weighted first 3.326939                 3    3 99999      Sham
## 5424  Weighted first 3.361429                 3    3 99999      Sham
## 5426  Weighted first 3.395918                 3    3 99999      Sham
## 5428  Weighted first 3.430408                 3    3 99999      Sham
## 5430  Weighted first 3.464898                 3    3 99999      Sham
## 5432  Weighted first 3.499388                 3    3 99999      Sham
## 5434  Weighted first 3.533878                 3    3 99999      Sham
## 5436  Weighted first 3.568367                 3    3 99999      Sham
## 5438  Weighted first 3.602857                 3    3 99999      Sham
## 5440  Weighted first 3.637347                 3    3 99999      Sham
## 5442  Weighted first 3.671837                 3    3 99999      Sham
## 5444  Weighted first 3.706327                 3    3 99999      Sham
## 5446  Weighted first 3.740816                 3    3 99999      Sham
## 5448  Weighted first 3.775306                 3    3 99999      Sham
## 5450  Weighted first 3.809796                 3    3 99999      Sham
## 5452  Weighted first 3.844286                 3    3 99999      Sham
## 5454  Weighted first 3.878776                 3    3 99999      Sham
## 5456  Weighted first 3.913265                 3    3 99999      Sham
## 5458  Weighted first 3.947755                 3    3 99999      Sham
## 5460  Weighted first 3.982245                 3    3 99999      Sham
## 5462  Weighted first 4.016735                 3    3 99999      Sham
## 5464  Weighted first 4.051224                 3    3 99999      Sham
## 5466  Weighted first 4.085714                 3    3 99999      Sham
## 5468  Weighted first 4.120204                 3    3 99999      Sham
## 5470  Weighted first 4.154694                 3    3 99999      Sham
## 5472  Weighted first 4.189184                 3    3 99999      Sham
## 5474  Weighted first 4.223673                 3    3 99999      Sham
## 5476  Weighted first 4.258163                 3    3 99999      Sham
## 5478  Weighted first 4.292653                 3    3 99999      Sham
## 5480  Weighted first 4.327143                 3    3 99999      Sham
## 5482  Weighted first 4.361633                 3    3 99999      Sham
## 5484  Weighted first 4.396122                 3    3 99999      Sham
## 5486  Weighted first 4.430612                 3    3 99999      Sham
## 5488  Weighted first 4.465102                 3    3 99999      Sham
## 5490  Weighted first 4.499592                 3    3 99999      Sham
## 5492  Weighted first 4.534082                 3    3 99999      Sham
## 5494  Weighted first 4.568571                 3    3 99999      Sham
## 5496  Weighted first 4.603061                 3    3 99999      Sham
## 5498  Weighted first 4.637551                 3    3 99999      Sham
## 5500  Weighted first 4.672041                 3    3 99999      Sham
## 5502  Weighted first 4.706531                 3    3 99999      Sham
## 5504  Weighted first 4.741020                 3    3 99999      Sham
## 5506  Weighted first 4.775510                 3    3 99999      Sham
## 5508  Weighted first 4.810000                 3    3 99999      Sham
## 5510  Weighted first 3.965833                 4    3 99999      Sham
## 5512  Weighted first 3.120000                 4    3 99999      Sham
## 5514  Weighted first 3.154490                 4    3 99999      Sham
## 5516  Weighted first 3.188980                 4    3 99999      Sham
## 5518  Weighted first 3.223469                 4    3 99999      Sham
## 5520  Weighted first 3.257959                 4    3 99999      Sham
## 5522  Weighted first 3.292449                 4    3 99999      Sham
## 5524  Weighted first 3.326939                 4    3 99999      Sham
## 5526  Weighted first 3.361429                 4    3 99999      Sham
## 5528  Weighted first 3.395918                 4    3 99999      Sham
## 5530  Weighted first 3.430408                 4    3 99999      Sham
## 5532  Weighted first 3.464898                 4    3 99999      Sham
## 5534  Weighted first 3.499388                 4    3 99999      Sham
## 5536  Weighted first 3.533878                 4    3 99999      Sham
## 5538  Weighted first 3.568367                 4    3 99999      Sham
## 5540  Weighted first 3.602857                 4    3 99999      Sham
## 5542  Weighted first 3.637347                 4    3 99999      Sham
## 5544  Weighted first 3.671837                 4    3 99999      Sham
## 5546  Weighted first 3.706327                 4    3 99999      Sham
## 5548  Weighted first 3.740816                 4    3 99999      Sham
## 5550  Weighted first 3.775306                 4    3 99999      Sham
## 5552  Weighted first 3.809796                 4    3 99999      Sham
## 5554  Weighted first 3.844286                 4    3 99999      Sham
## 5556  Weighted first 3.878776                 4    3 99999      Sham
## 5558  Weighted first 3.913265                 4    3 99999      Sham
## 5560  Weighted first 3.947755                 4    3 99999      Sham
## 5562  Weighted first 3.982245                 4    3 99999      Sham
## 5564  Weighted first 4.016735                 4    3 99999      Sham
## 5566  Weighted first 4.051224                 4    3 99999      Sham
## 5568  Weighted first 4.085714                 4    3 99999      Sham
## 5570  Weighted first 4.120204                 4    3 99999      Sham
## 5572  Weighted first 4.154694                 4    3 99999      Sham
## 5574  Weighted first 4.189184                 4    3 99999      Sham
## 5576  Weighted first 4.223673                 4    3 99999      Sham
## 5578  Weighted first 4.258163                 4    3 99999      Sham
## 5580  Weighted first 4.292653                 4    3 99999      Sham
## 5582  Weighted first 4.327143                 4    3 99999      Sham
## 5584  Weighted first 4.361633                 4    3 99999      Sham
## 5586  Weighted first 4.396122                 4    3 99999      Sham
## 5588  Weighted first 4.430612                 4    3 99999      Sham
## 5590  Weighted first 4.465102                 4    3 99999      Sham
## 5592  Weighted first 4.499592                 4    3 99999      Sham
## 5594  Weighted first 4.534082                 4    3 99999      Sham
## 5596  Weighted first 4.568571                 4    3 99999      Sham
## 5598  Weighted first 4.603061                 4    3 99999      Sham
## 5600  Weighted first 4.637551                 4    3 99999      Sham
## 5602  Weighted first 4.672041                 4    3 99999      Sham
## 5604  Weighted first 4.706531                 4    3 99999      Sham
## 5606  Weighted first 4.741020                 4    3 99999      Sham
## 5608  Weighted first 4.775510                 4    3 99999      Sham
## 5610  Weighted first 4.810000                 4    3 99999      Sham
## 5612  Weighted first 3.965833                 5    3 99999      Sham
## 5614  Weighted first 3.120000                 5    3 99999      Sham
## 5616  Weighted first 3.154490                 5    3 99999      Sham
## 5618  Weighted first 3.188980                 5    3 99999      Sham
## 5620  Weighted first 3.223469                 5    3 99999      Sham
## 5622  Weighted first 3.257959                 5    3 99999      Sham
## 5624  Weighted first 3.292449                 5    3 99999      Sham
## 5626  Weighted first 3.326939                 5    3 99999      Sham
## 5628  Weighted first 3.361429                 5    3 99999      Sham
## 5630  Weighted first 3.395918                 5    3 99999      Sham
## 5632  Weighted first 3.430408                 5    3 99999      Sham
## 5634  Weighted first 3.464898                 5    3 99999      Sham
## 5636  Weighted first 3.499388                 5    3 99999      Sham
## 5638  Weighted first 3.533878                 5    3 99999      Sham
## 5640  Weighted first 3.568367                 5    3 99999      Sham
## 5642  Weighted first 3.602857                 5    3 99999      Sham
## 5644  Weighted first 3.637347                 5    3 99999      Sham
## 5646  Weighted first 3.671837                 5    3 99999      Sham
## 5648  Weighted first 3.706327                 5    3 99999      Sham
## 5650  Weighted first 3.740816                 5    3 99999      Sham
## 5652  Weighted first 3.775306                 5    3 99999      Sham
## 5654  Weighted first 3.809796                 5    3 99999      Sham
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## 5658  Weighted first 3.878776                 5    3 99999      Sham
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## 5662  Weighted first 3.947755                 5    3 99999      Sham
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## 5668  Weighted first 4.051224                 5    3 99999      Sham
## 5670  Weighted first 4.085714                 5    3 99999      Sham
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## 5674  Weighted first 4.154694                 5    3 99999      Sham
## 5676  Weighted first 4.189184                 5    3 99999      Sham
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## 5684  Weighted first 4.327143                 5    3 99999      Sham
## 5686  Weighted first 4.361633                 5    3 99999      Sham
## 5688  Weighted first 4.396122                 5    3 99999      Sham
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## 5698  Weighted first 4.568571                 5    3 99999      Sham
## 5700  Weighted first 4.603061                 5    3 99999      Sham
## 5702  Weighted first 4.637551                 5    3 99999      Sham
## 5704  Weighted first 4.672041                 5    3 99999      Sham
## 5706  Weighted first 4.706531                 5    3 99999      Sham
## 5708  Weighted first 4.741020                 5    3 99999      Sham
## 5710  Weighted first 4.775510                 5    3 99999      Sham
## 5712  Weighted first 4.810000                 5    3 99999      Sham
## 5714  Weighted first 3.965833                 6    3 99999      Sham
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## 5718  Weighted first 3.154490                 6    3 99999      Sham
## 5720  Weighted first 3.188980                 6    3 99999      Sham
## 5722  Weighted first 3.223469                 6    3 99999      Sham
## 5724  Weighted first 3.257959                 6    3 99999      Sham
## 5726  Weighted first 3.292449                 6    3 99999      Sham
## 5728  Weighted first 3.326939                 6    3 99999      Sham
## 5730  Weighted first 3.361429                 6    3 99999      Sham
## 5732  Weighted first 3.395918                 6    3 99999      Sham
## 5734  Weighted first 3.430408                 6    3 99999      Sham
## 5736  Weighted first 3.464898                 6    3 99999      Sham
## 5738  Weighted first 3.499388                 6    3 99999      Sham
## 5740  Weighted first 3.533878                 6    3 99999      Sham
## 5742  Weighted first 3.568367                 6    3 99999      Sham
## 5744  Weighted first 3.602857                 6    3 99999      Sham
## 5746  Weighted first 3.637347                 6    3 99999      Sham
## 5748  Weighted first 3.671837                 6    3 99999      Sham
## 5750  Weighted first 3.706327                 6    3 99999      Sham
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## 5754  Weighted first 3.775306                 6    3 99999      Sham
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## 5758  Weighted first 3.844286                 6    3 99999      Sham
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## 5764  Weighted first 3.947755                 6    3 99999      Sham
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## 5776  Weighted first 4.154694                 6    3 99999      Sham
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## 5782  Weighted first 4.258163                 6    3 99999      Sham
## 5784  Weighted first 4.292653                 6    3 99999      Sham
## 5786  Weighted first 4.327143                 6    3 99999      Sham
## 5788  Weighted first 4.361633                 6    3 99999      Sham
## 5790  Weighted first 4.396122                 6    3 99999      Sham
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## 5794  Weighted first 4.465102                 6    3 99999      Sham
## 5796  Weighted first 4.499592                 6    3 99999      Sham
## 5798  Weighted first 4.534082                 6    3 99999      Sham
## 5800  Weighted first 4.568571                 6    3 99999      Sham
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## 5804  Weighted first 4.637551                 6    3 99999      Sham
## 5806  Weighted first 4.672041                 6    3 99999      Sham
## 5808  Weighted first 4.706531                 6    3 99999      Sham
## 5810  Weighted first 4.741020                 6    3 99999      Sham
## 5812  Weighted first 4.775510                 6    3 99999      Sham
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## 5816  Weighted first 3.965833                 7    3 99999      Sham
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## 5822  Weighted first 3.188980                 7    3 99999      Sham
## 5824  Weighted first 3.223469                 7    3 99999      Sham
## 5826  Weighted first 3.257959                 7    3 99999      Sham
## 5828  Weighted first 3.292449                 7    3 99999      Sham
## 5830  Weighted first 3.326939                 7    3 99999      Sham
## 5832  Weighted first 3.361429                 7    3 99999      Sham
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## 5836  Weighted first 3.430408                 7    3 99999      Sham
## 5838  Weighted first 3.464898                 7    3 99999      Sham
## 5840  Weighted first 3.499388                 7    3 99999      Sham
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## 5844  Weighted first 3.568367                 7    3 99999      Sham
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## 5848  Weighted first 3.637347                 7    3 99999      Sham
## 5850  Weighted first 3.671837                 7    3 99999      Sham
## 5852  Weighted first 3.706327                 7    3 99999      Sham
## 5854  Weighted first 3.740816                 7    3 99999      Sham
## 5856  Weighted first 3.775306                 7    3 99999      Sham
## 5858  Weighted first 3.809796                 7    3 99999      Sham
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## 5874  Weighted first 4.085714                 7    3 99999      Sham
## 5876  Weighted first 4.120204                 7    3 99999      Sham
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## 5880  Weighted first 4.189184                 7    3 99999      Sham
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## 5884  Weighted first 4.258163                 7    3 99999      Sham
## 5886  Weighted first 4.292653                 7    3 99999      Sham
## 5888  Weighted first 4.327143                 7    3 99999      Sham
## 5890  Weighted first 4.361633                 7    3 99999      Sham
## 5892  Weighted first 4.396122                 7    3 99999      Sham
## 5894  Weighted first 4.430612                 7    3 99999      Sham
## 5896  Weighted first 4.465102                 7    3 99999      Sham
## 5898  Weighted first 4.499592                 7    3 99999      Sham
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## 5904  Weighted first 4.603061                 7    3 99999      Sham
## 5906  Weighted first 4.637551                 7    3 99999      Sham
## 5908  Weighted first 4.672041                 7    3 99999      Sham
## 5910  Weighted first 4.706531                 7    3 99999      Sham
## 5912  Weighted first 4.741020                 7    3 99999      Sham
## 5914  Weighted first 4.775510                 7    3 99999      Sham
## 5916  Weighted first 4.810000                 7    3 99999      Sham
## 5918  Weighted first 3.965833                 8    3 99999      Sham
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## 5924  Weighted first 3.188980                 8    3 99999      Sham
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## 5928  Weighted first 3.257959                 8    3 99999      Sham
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## 5932  Weighted first 3.326939                 8    3 99999      Sham
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## 5936  Weighted first 3.395918                 8    3 99999      Sham
## 5938  Weighted first 3.430408                 8    3 99999      Sham
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## 5942  Weighted first 3.499388                 8    3 99999      Sham
## 5944  Weighted first 3.533878                 8    3 99999      Sham
## 5946  Weighted first 3.568367                 8    3 99999      Sham
## 5948  Weighted first 3.602857                 8    3 99999      Sham
## 5950  Weighted first 3.637347                 8    3 99999      Sham
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## 5954  Weighted first 3.706327                 8    3 99999      Sham
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## 5986  Weighted first 4.258163                 8    3 99999      Sham
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## 6026  Weighted first 3.188980                 9    3 99999      Sham
## 6028  Weighted first 3.223469                 9    3 99999      Sham
## 6030  Weighted first 3.257959                 9    3 99999      Sham
## 6032  Weighted first 3.292449                 9    3 99999      Sham
## 6034  Weighted first 3.326939                 9    3 99999      Sham
## 6036  Weighted first 3.361429                 9    3 99999      Sham
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## 6050  Weighted first 3.602857                 9    3 99999      Sham
## 6052  Weighted first 3.637347                 9    3 99999      Sham
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## 6106  Weighted first 4.568571                 9    3 99999      Sham
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## 6146  Weighted first 3.499388                10    3 99999      Sham
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## 6152  Weighted first 3.602857                10    3 99999      Sham
## 6154  Weighted first 3.637347                10    3 99999      Sham
## 6156  Weighted first 3.671837                10    3 99999      Sham
## 6158  Weighted first 3.706327                10    3 99999      Sham
## 6160  Weighted first 3.740816                10    3 99999      Sham
## 6162  Weighted first 3.775306                10    3 99999      Sham
## 6164  Weighted first 3.809796                10    3 99999      Sham
## 6166  Weighted first 3.844286                10    3 99999      Sham
## 6168  Weighted first 3.878776                10    3 99999      Sham
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## 6172  Weighted first 3.947755                10    3 99999      Sham
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## 6178  Weighted first 4.051224                10    3 99999      Sham
## 6180  Weighted first 4.085714                10    3 99999      Sham
## 6182  Weighted first 4.120204                10    3 99999      Sham
## 6184  Weighted first 4.154694                10    3 99999      Sham
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## 6188  Weighted first 4.223673                10    3 99999      Sham
## 6190  Weighted first 4.258163                10    3 99999      Sham
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## 6194  Weighted first 4.327143                10    3 99999      Sham
## 6196  Weighted first 4.361633                10    3 99999      Sham
## 6198  Weighted first 4.396122                10    3 99999      Sham
## 6200  Weighted first 4.430612                10    3 99999      Sham
## 6202  Weighted first 4.465102                10    3 99999      Sham
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## 6206  Weighted first 4.534082                10    3 99999      Sham
## 6208  Weighted first 4.568571                10    3 99999      Sham
## 6210  Weighted first 4.603061                10    3 99999      Sham
## 6212  Weighted first 4.637551                10    3 99999      Sham
## 6214  Weighted first 4.672041                10    3 99999      Sham
## 6216  Weighted first 4.706531                10    3 99999      Sham
## 6218  Weighted first 4.741020                10    3 99999      Sham
## 6220  Weighted first 4.775510                10    3 99999      Sham
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## 6224  Weighted first 3.965833                11    3 99999      Sham
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## 6228  Weighted first 3.154490                11    3 99999      Sham
## 6230  Weighted first 3.188980                11    3 99999      Sham
## 6232  Weighted first 3.223469                11    3 99999      Sham
## 6234  Weighted first 3.257959                11    3 99999      Sham
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## 6238  Weighted first 3.326939                11    3 99999      Sham
## 6240  Weighted first 3.361429                11    3 99999      Sham
## 6242  Weighted first 3.395918                11    3 99999      Sham
## 6244  Weighted first 3.430408                11    3 99999      Sham
## 6246  Weighted first 3.464898                11    3 99999      Sham
## 6248  Weighted first 3.499388                11    3 99999      Sham
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## 6252  Weighted first 3.568367                11    3 99999      Sham
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## 6256  Weighted first 3.637347                11    3 99999      Sham
## 6258  Weighted first 3.671837                11    3 99999      Sham
## 6260  Weighted first 3.706327                11    3 99999      Sham
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## 6282  Weighted first 4.085714                11    3 99999      Sham
## 6284  Weighted first 4.120204                11    3 99999      Sham
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## 6304  Weighted first 4.465102                11    3 99999      Sham
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## 6310  Weighted first 4.568571                11    3 99999      Sham
## 6312  Weighted first 4.603061                11    3 99999      Sham
## 6314  Weighted first 4.637551                11    3 99999      Sham
## 6316  Weighted first 4.672041                11    3 99999      Sham
## 6318  Weighted first 4.706531                11    3 99999      Sham
## 6320  Weighted first 4.741020                11    3 99999      Sham
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## 6330  Weighted first 3.154490                12    3 99999      Sham
## 6332  Weighted first 3.188980                12    3 99999      Sham
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## 6338  Weighted first 3.292449                12    3 99999      Sham
## 6340  Weighted first 3.326939                12    3 99999      Sham
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## 6346  Weighted first 3.430408                12    3 99999      Sham
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## 6350  Weighted first 3.499388                12    3 99999      Sham
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## 6364  Weighted first 3.740816                12    3 99999      Sham
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## 6368  Weighted first 3.809796                12    3 99999      Sham
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## 6412  Weighted first 4.568571                12    3 99999      Sham
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## 6418  Weighted first 4.672041                12    3 99999      Sham
## 6420  Weighted first 4.706531                12    3 99999      Sham
## 6422  Weighted first 4.741020                12    3 99999      Sham
## 6424  Weighted first 4.775510                12    3 99999      Sham
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## 6428  Weighted first 3.965833                13    3 99999      Sham
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## 6522  Weighted first 4.706531                13    3 99999      Sham
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## 6544  Weighted first 3.326939                14    3 99999      Sham
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## 6588  Weighted first 4.085714                14    3 99999      Sham
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## 6606  Weighted first 4.396122                14    3 99999      Sham
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## 6610  Weighted first 4.465102                14    3 99999      Sham
## 6612  Weighted first 4.499592                14    3 99999      Sham
## 6614  Weighted first 4.534082                14    3 99999      Sham
## 6616  Weighted first 4.568571                14    3 99999      Sham
## 6618  Weighted first 4.603061                14    3 99999      Sham
## 6620  Weighted first 4.637551                14    3 99999      Sham
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## 6624  Weighted first 4.706531                14    3 99999      Sham
## 6626  Weighted first 4.741020                14    3 99999      Sham
## 6628  Weighted first 4.775510                14    3 99999      Sham
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## 6638  Weighted first 3.188980                15    3 99999      Sham
## 6640  Weighted first 3.223469                15    3 99999      Sham
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## 6646  Weighted first 3.326939                15    3 99999      Sham
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## 6728  Weighted first 4.741020                15    3 99999      Sham
## 6730  Weighted first 4.775510                15    3 99999      Sham
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## 6744  Weighted first 3.257959                16    3 99999      Sham
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## 6748  Weighted first 3.326939                16    3 99999      Sham
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## 6770  Weighted first 3.706327                16    3 99999      Sham
## 6772  Weighted first 3.740816                16    3 99999      Sham
## 6774  Weighted first 3.775306                16    3 99999      Sham
## 6776  Weighted first 3.809796                16    3 99999      Sham
## 6778  Weighted first 3.844286                16    3 99999      Sham
## 6780  Weighted first 3.878776                16    3 99999      Sham
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## 6788  Weighted first 4.016735                16    3 99999      Sham
## 6790  Weighted first 4.051224                16    3 99999      Sham
## 6792  Weighted first 4.085714                16    3 99999      Sham
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## 6798  Weighted first 4.189184                16    3 99999      Sham
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## 6810  Weighted first 4.396122                16    3 99999      Sham
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## 6814  Weighted first 4.465102                16    3 99999      Sham
## 6816  Weighted first 4.499592                16    3 99999      Sham
## 6818  Weighted first 4.534082                16    3 99999      Sham
## 6820  Weighted first 4.568571                16    3 99999      Sham
## 6822  Weighted first 4.603061                16    3 99999      Sham
## 6824  Weighted first 4.637551                16    3 99999      Sham
## 6826  Weighted first 4.672041                16    3 99999      Sham
## 6828  Weighted first 4.706531                16    3 99999      Sham
## 6830  Weighted first 4.741020                16    3 99999      Sham
## 6832  Weighted first 4.775510                16    3 99999      Sham
## 6834  Weighted first 4.810000                16    3 99999      Sham
## 6836  Weighted first 3.965833                17    3 99999      Sham
## 6838  Weighted first 3.120000                17    3 99999      Sham
## 6840  Weighted first 3.154490                17    3 99999      Sham
## 6842  Weighted first 3.188980                17    3 99999      Sham
## 6844  Weighted first 3.223469                17    3 99999      Sham
## 6846  Weighted first 3.257959                17    3 99999      Sham
## 6848  Weighted first 3.292449                17    3 99999      Sham
## 6850  Weighted first 3.326939                17    3 99999      Sham
## 6852  Weighted first 3.361429                17    3 99999      Sham
## 6854  Weighted first 3.395918                17    3 99999      Sham
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## 6860  Weighted first 3.499388                17    3 99999      Sham
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## 6868  Weighted first 3.637347                17    3 99999      Sham
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## 6874  Weighted first 3.740816                17    3 99999      Sham
## 6876  Weighted first 3.775306                17    3 99999      Sham
## 6878  Weighted first 3.809796                17    3 99999      Sham
## 6880  Weighted first 3.844286                17    3 99999      Sham
## 6882  Weighted first 3.878776                17    3 99999      Sham
## 6884  Weighted first 3.913265                17    3 99999      Sham
## 6886  Weighted first 3.947755                17    3 99999      Sham
## 6888  Weighted first 3.982245                17    3 99999      Sham
## 6890  Weighted first 4.016735                17    3 99999      Sham
## 6892  Weighted first 4.051224                17    3 99999      Sham
## 6894  Weighted first 4.085714                17    3 99999      Sham
## 6896  Weighted first 4.120204                17    3 99999      Sham
## 6898  Weighted first 4.154694                17    3 99999      Sham
## 6900  Weighted first 4.189184                17    3 99999      Sham
## 6902  Weighted first 4.223673                17    3 99999      Sham
## 6904  Weighted first 4.258163                17    3 99999      Sham
## 6906  Weighted first 4.292653                17    3 99999      Sham
## 6908  Weighted first 4.327143                17    3 99999      Sham
## 6910  Weighted first 4.361633                17    3 99999      Sham
## 6912  Weighted first 4.396122                17    3 99999      Sham
## 6914  Weighted first 4.430612                17    3 99999      Sham
## 6916  Weighted first 4.465102                17    3 99999      Sham
## 6918  Weighted first 4.499592                17    3 99999      Sham
## 6920  Weighted first 4.534082                17    3 99999      Sham
## 6922  Weighted first 4.568571                17    3 99999      Sham
## 6924  Weighted first 4.603061                17    3 99999      Sham
## 6926  Weighted first 4.637551                17    3 99999      Sham
## 6928  Weighted first 4.672041                17    3 99999      Sham
## 6930  Weighted first 4.706531                17    3 99999      Sham
## 6932  Weighted first 4.741020                17    3 99999      Sham
## 6934  Weighted first 4.775510                17    3 99999      Sham
## 6936  Weighted first 4.810000                17    3 99999      Sham
## 6938  Weighted first 3.965833                18    3 99999      Sham
## 6940  Weighted first 3.120000                18    3 99999      Sham
## 6942  Weighted first 3.154490                18    3 99999      Sham
## 6944  Weighted first 3.188980                18    3 99999      Sham
## 6946  Weighted first 3.223469                18    3 99999      Sham
## 6948  Weighted first 3.257959                18    3 99999      Sham
## 6950  Weighted first 3.292449                18    3 99999      Sham
## 6952  Weighted first 3.326939                18    3 99999      Sham
## 6954  Weighted first 3.361429                18    3 99999      Sham
## 6956  Weighted first 3.395918                18    3 99999      Sham
## 6958  Weighted first 3.430408                18    3 99999      Sham
## 6960  Weighted first 3.464898                18    3 99999      Sham
## 6962  Weighted first 3.499388                18    3 99999      Sham
## 6964  Weighted first 3.533878                18    3 99999      Sham
## 6966  Weighted first 3.568367                18    3 99999      Sham
## 6968  Weighted first 3.602857                18    3 99999      Sham
## 6970  Weighted first 3.637347                18    3 99999      Sham
## 6972  Weighted first 3.671837                18    3 99999      Sham
## 6974  Weighted first 3.706327                18    3 99999      Sham
## 6976  Weighted first 3.740816                18    3 99999      Sham
## 6978  Weighted first 3.775306                18    3 99999      Sham
## 6980  Weighted first 3.809796                18    3 99999      Sham
## 6982  Weighted first 3.844286                18    3 99999      Sham
## 6984  Weighted first 3.878776                18    3 99999      Sham
## 6986  Weighted first 3.913265                18    3 99999      Sham
## 6988  Weighted first 3.947755                18    3 99999      Sham
## 6990  Weighted first 3.982245                18    3 99999      Sham
## 6992  Weighted first 4.016735                18    3 99999      Sham
## 6994  Weighted first 4.051224                18    3 99999      Sham
## 6996  Weighted first 4.085714                18    3 99999      Sham
## 6998  Weighted first 4.120204                18    3 99999      Sham
## 7000  Weighted first 4.154694                18    3 99999      Sham
## 7002  Weighted first 4.189184                18    3 99999      Sham
## 7004  Weighted first 4.223673                18    3 99999      Sham
## 7006  Weighted first 4.258163                18    3 99999      Sham
## 7008  Weighted first 4.292653                18    3 99999      Sham
## 7010  Weighted first 4.327143                18    3 99999      Sham
## 7012  Weighted first 4.361633                18    3 99999      Sham
## 7014  Weighted first 4.396122                18    3 99999      Sham
## 7016  Weighted first 4.430612                18    3 99999      Sham
## 7018  Weighted first 4.465102                18    3 99999      Sham
## 7020  Weighted first 4.499592                18    3 99999      Sham
## 7022  Weighted first 4.534082                18    3 99999      Sham
## 7024  Weighted first 4.568571                18    3 99999      Sham
## 7026  Weighted first 4.603061                18    3 99999      Sham
## 7028  Weighted first 4.637551                18    3 99999      Sham
## 7030  Weighted first 4.672041                18    3 99999      Sham
## 7032  Weighted first 4.706531                18    3 99999      Sham
## 7034  Weighted first 4.741020                18    3 99999      Sham
## 7036  Weighted first 4.775510                18    3 99999      Sham
## 7038  Weighted first 4.810000                18    3 99999      Sham
## 7040  Weighted first 3.965833                19    3 99999      Sham
## 7042  Weighted first 3.120000                19    3 99999      Sham
## 7044  Weighted first 3.154490                19    3 99999      Sham
## 7046  Weighted first 3.188980                19    3 99999      Sham
## 7048  Weighted first 3.223469                19    3 99999      Sham
## 7050  Weighted first 3.257959                19    3 99999      Sham
## 7052  Weighted first 3.292449                19    3 99999      Sham
## 7054  Weighted first 3.326939                19    3 99999      Sham
## 7056  Weighted first 3.361429                19    3 99999      Sham
## 7058  Weighted first 3.395918                19    3 99999      Sham
## 7060  Weighted first 3.430408                19    3 99999      Sham
## 7062  Weighted first 3.464898                19    3 99999      Sham
## 7064  Weighted first 3.499388                19    3 99999      Sham
## 7066  Weighted first 3.533878                19    3 99999      Sham
## 7068  Weighted first 3.568367                19    3 99999      Sham
## 7070  Weighted first 3.602857                19    3 99999      Sham
## 7072  Weighted first 3.637347                19    3 99999      Sham
## 7074  Weighted first 3.671837                19    3 99999      Sham
## 7076  Weighted first 3.706327                19    3 99999      Sham
## 7078  Weighted first 3.740816                19    3 99999      Sham
## 7080  Weighted first 3.775306                19    3 99999      Sham
## 7082  Weighted first 3.809796                19    3 99999      Sham
## 7084  Weighted first 3.844286                19    3 99999      Sham
## 7086  Weighted first 3.878776                19    3 99999      Sham
## 7088  Weighted first 3.913265                19    3 99999      Sham
## 7090  Weighted first 3.947755                19    3 99999      Sham
## 7092  Weighted first 3.982245                19    3 99999      Sham
## 7094  Weighted first 4.016735                19    3 99999      Sham
## 7096  Weighted first 4.051224                19    3 99999      Sham
## 7098  Weighted first 4.085714                19    3 99999      Sham
## 7100  Weighted first 4.120204                19    3 99999      Sham
## 7102  Weighted first 4.154694                19    3 99999      Sham
## 7104  Weighted first 4.189184                19    3 99999      Sham
## 7106  Weighted first 4.223673                19    3 99999      Sham
## 7108  Weighted first 4.258163                19    3 99999      Sham
## 7110  Weighted first 4.292653                19    3 99999      Sham
## 7112  Weighted first 4.327143                19    3 99999      Sham
## 7114  Weighted first 4.361633                19    3 99999      Sham
## 7116  Weighted first 4.396122                19    3 99999      Sham
## 7118  Weighted first 4.430612                19    3 99999      Sham
## 7120  Weighted first 4.465102                19    3 99999      Sham
## 7122  Weighted first 4.499592                19    3 99999      Sham
## 7124  Weighted first 4.534082                19    3 99999      Sham
## 7126  Weighted first 4.568571                19    3 99999      Sham
## 7128  Weighted first 4.603061                19    3 99999      Sham
## 7130  Weighted first 4.637551                19    3 99999      Sham
## 7132  Weighted first 4.672041                19    3 99999      Sham
## 7134  Weighted first 4.706531                19    3 99999      Sham
## 7136  Weighted first 4.741020                19    3 99999      Sham
## 7138  Weighted first 4.775510                19    3 99999      Sham
## 7140  Weighted first 4.810000                19    3 99999      Sham
## 7142  Weighted first 3.965833                20    3 99999      Sham
## 7144  Weighted first 3.120000                20    3 99999      Sham
## 7146  Weighted first 3.154490                20    3 99999      Sham
## 7148  Weighted first 3.188980                20    3 99999      Sham
## 7150  Weighted first 3.223469                20    3 99999      Sham
## 7152  Weighted first 3.257959                20    3 99999      Sham
## 7154  Weighted first 3.292449                20    3 99999      Sham
## 7156  Weighted first 3.326939                20    3 99999      Sham
## 7158  Weighted first 3.361429                20    3 99999      Sham
## 7160  Weighted first 3.395918                20    3 99999      Sham
## 7162  Weighted first 3.430408                20    3 99999      Sham
## 7164  Weighted first 3.464898                20    3 99999      Sham
## 7166  Weighted first 3.499388                20    3 99999      Sham
## 7168  Weighted first 3.533878                20    3 99999      Sham
## 7170  Weighted first 3.568367                20    3 99999      Sham
## 7172  Weighted first 3.602857                20    3 99999      Sham
## 7174  Weighted first 3.637347                20    3 99999      Sham
## 7176  Weighted first 3.671837                20    3 99999      Sham
## 7178  Weighted first 3.706327                20    3 99999      Sham
## 7180  Weighted first 3.740816                20    3 99999      Sham
## 7182  Weighted first 3.775306                20    3 99999      Sham
## 7184  Weighted first 3.809796                20    3 99999      Sham
## 7186  Weighted first 3.844286                20    3 99999      Sham
## 7188  Weighted first 3.878776                20    3 99999      Sham
## 7190  Weighted first 3.913265                20    3 99999      Sham
## 7192  Weighted first 3.947755                20    3 99999      Sham
## 7194  Weighted first 3.982245                20    3 99999      Sham
## 7196  Weighted first 4.016735                20    3 99999      Sham
## 7198  Weighted first 4.051224                20    3 99999      Sham
## 7200  Weighted first 4.085714                20    3 99999      Sham
## 7202  Weighted first 4.120204                20    3 99999      Sham
## 7204  Weighted first 4.154694                20    3 99999      Sham
## 7206  Weighted first 4.189184                20    3 99999      Sham
## 7208  Weighted first 4.223673                20    3 99999      Sham
## 7210  Weighted first 4.258163                20    3 99999      Sham
## 7212  Weighted first 4.292653                20    3 99999      Sham
## 7214  Weighted first 4.327143                20    3 99999      Sham
## 7216  Weighted first 4.361633                20    3 99999      Sham
## 7218  Weighted first 4.396122                20    3 99999      Sham
## 7220  Weighted first 4.430612                20    3 99999      Sham
## 7222  Weighted first 4.465102                20    3 99999      Sham
## 7224  Weighted first 4.499592                20    3 99999      Sham
## 7226  Weighted first 4.534082                20    3 99999      Sham
## 7228  Weighted first 4.568571                20    3 99999      Sham
## 7230  Weighted first 4.603061                20    3 99999      Sham
## 7232  Weighted first 4.637551                20    3 99999      Sham
## 7234  Weighted first 4.672041                20    3 99999      Sham
## 7236  Weighted first 4.706531                20    3 99999      Sham
## 7238  Weighted first 4.741020                20    3 99999      Sham
## 7240  Weighted first 4.775510                20    3 99999      Sham
## 7242  Weighted first 4.810000                20    3 99999      Sham
## 7244  Weighted first 3.965833                21    3 99999      Sham
## 7246  Weighted first 3.120000                21    3 99999      Sham
## 7248  Weighted first 3.154490                21    3 99999      Sham
## 7250  Weighted first 3.188980                21    3 99999      Sham
## 7252  Weighted first 3.223469                21    3 99999      Sham
## 7254  Weighted first 3.257959                21    3 99999      Sham
## 7256  Weighted first 3.292449                21    3 99999      Sham
## 7258  Weighted first 3.326939                21    3 99999      Sham
## 7260  Weighted first 3.361429                21    3 99999      Sham
## 7262  Weighted first 3.395918                21    3 99999      Sham
## 7264  Weighted first 3.430408                21    3 99999      Sham
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## 7268  Weighted first 3.499388                21    3 99999      Sham
## 7270  Weighted first 3.533878                21    3 99999      Sham
## 7272  Weighted first 3.568367                21    3 99999      Sham
## 7274  Weighted first 3.602857                21    3 99999      Sham
## 7276  Weighted first 3.637347                21    3 99999      Sham
## 7278  Weighted first 3.671837                21    3 99999      Sham
## 7280  Weighted first 3.706327                21    3 99999      Sham
## 7282  Weighted first 3.740816                21    3 99999      Sham
## 7284  Weighted first 3.775306                21    3 99999      Sham
## 7286  Weighted first 3.809796                21    3 99999      Sham
## 7288  Weighted first 3.844286                21    3 99999      Sham
## 7290  Weighted first 3.878776                21    3 99999      Sham
## 7292  Weighted first 3.913265                21    3 99999      Sham
## 7294  Weighted first 3.947755                21    3 99999      Sham
## 7296  Weighted first 3.982245                21    3 99999      Sham
## 7298  Weighted first 4.016735                21    3 99999      Sham
## 7300  Weighted first 4.051224                21    3 99999      Sham
## 7302  Weighted first 4.085714                21    3 99999      Sham
## 7304  Weighted first 4.120204                21    3 99999      Sham
## 7306  Weighted first 4.154694                21    3 99999      Sham
## 7308  Weighted first 4.189184                21    3 99999      Sham
## 7310  Weighted first 4.223673                21    3 99999      Sham
## 7312  Weighted first 4.258163                21    3 99999      Sham
## 7314  Weighted first 4.292653                21    3 99999      Sham
## 7316  Weighted first 4.327143                21    3 99999      Sham
## 7318  Weighted first 4.361633                21    3 99999      Sham
## 7320  Weighted first 4.396122                21    3 99999      Sham
## 7322  Weighted first 4.430612                21    3 99999      Sham
## 7324  Weighted first 4.465102                21    3 99999      Sham
## 7326  Weighted first 4.499592                21    3 99999      Sham
## 7328  Weighted first 4.534082                21    3 99999      Sham
## 7330  Weighted first 4.568571                21    3 99999      Sham
## 7332  Weighted first 4.603061                21    3 99999      Sham
## 7334  Weighted first 4.637551                21    3 99999      Sham
## 7336  Weighted first 4.672041                21    3 99999      Sham
## 7338  Weighted first 4.706531                21    3 99999      Sham
## 7340  Weighted first 4.741020                21    3 99999      Sham
## 7342  Weighted first 4.775510                21    3 99999      Sham
## 7344  Weighted first 4.810000                21    3 99999      Sham
## 7346  Weighted first 3.965833                22    3 99999      Sham
## 7348  Weighted first 3.120000                22    3 99999      Sham
## 7350  Weighted first 3.154490                22    3 99999      Sham
## 7352  Weighted first 3.188980                22    3 99999      Sham
## 7354  Weighted first 3.223469                22    3 99999      Sham
## 7356  Weighted first 3.257959                22    3 99999      Sham
## 7358  Weighted first 3.292449                22    3 99999      Sham
## 7360  Weighted first 3.326939                22    3 99999      Sham
## 7362  Weighted first 3.361429                22    3 99999      Sham
## 7364  Weighted first 3.395918                22    3 99999      Sham
## 7366  Weighted first 3.430408                22    3 99999      Sham
## 7368  Weighted first 3.464898                22    3 99999      Sham
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## 7372  Weighted first 3.533878                22    3 99999      Sham
## 7374  Weighted first 3.568367                22    3 99999      Sham
## 7376  Weighted first 3.602857                22    3 99999      Sham
## 7378  Weighted first 3.637347                22    3 99999      Sham
## 7380  Weighted first 3.671837                22    3 99999      Sham
## 7382  Weighted first 3.706327                22    3 99999      Sham
## 7384  Weighted first 3.740816                22    3 99999      Sham
## 7386  Weighted first 3.775306                22    3 99999      Sham
## 7388  Weighted first 3.809796                22    3 99999      Sham
## 7390  Weighted first 3.844286                22    3 99999      Sham
## 7392  Weighted first 3.878776                22    3 99999      Sham
## 7394  Weighted first 3.913265                22    3 99999      Sham
## 7396  Weighted first 3.947755                22    3 99999      Sham
## 7398  Weighted first 3.982245                22    3 99999      Sham
## 7400  Weighted first 4.016735                22    3 99999      Sham
## 7402  Weighted first 4.051224                22    3 99999      Sham
## 7404  Weighted first 4.085714                22    3 99999      Sham
## 7406  Weighted first 4.120204                22    3 99999      Sham
## 7408  Weighted first 4.154694                22    3 99999      Sham
## 7410  Weighted first 4.189184                22    3 99999      Sham
## 7412  Weighted first 4.223673                22    3 99999      Sham
## 7414  Weighted first 4.258163                22    3 99999      Sham
## 7416  Weighted first 4.292653                22    3 99999      Sham
## 7418  Weighted first 4.327143                22    3 99999      Sham
## 7420  Weighted first 4.361633                22    3 99999      Sham
## 7422  Weighted first 4.396122                22    3 99999      Sham
## 7424  Weighted first 4.430612                22    3 99999      Sham
## 7426  Weighted first 4.465102                22    3 99999      Sham
## 7428  Weighted first 4.499592                22    3 99999      Sham
## 7430  Weighted first 4.534082                22    3 99999      Sham
## 7432  Weighted first 4.568571                22    3 99999      Sham
## 7434  Weighted first 4.603061                22    3 99999      Sham
## 7436  Weighted first 4.637551                22    3 99999      Sham
## 7438  Weighted first 4.672041                22    3 99999      Sham
## 7440  Weighted first 4.706531                22    3 99999      Sham
## 7442  Weighted first 4.741020                22    3 99999      Sham
## 7444  Weighted first 4.775510                22    3 99999      Sham
## 7446  Weighted first 4.810000                22    3 99999      Sham
## 7448  Weighted first 3.965833                23    3 99999      Sham
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## 7452  Weighted first 3.154490                23    3 99999      Sham
## 7454  Weighted first 3.188980                23    3 99999      Sham
## 7456  Weighted first 3.223469                23    3 99999      Sham
## 7458  Weighted first 3.257959                23    3 99999      Sham
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## 7462  Weighted first 3.326939                23    3 99999      Sham
## 7464  Weighted first 3.361429                23    3 99999      Sham
## 7466  Weighted first 3.395918                23    3 99999      Sham
## 7468  Weighted first 3.430408                23    3 99999      Sham
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## 7474  Weighted first 3.533878                23    3 99999      Sham
## 7476  Weighted first 3.568367                23    3 99999      Sham
## 7478  Weighted first 3.602857                23    3 99999      Sham
## 7480  Weighted first 3.637347                23    3 99999      Sham
## 7482  Weighted first 3.671837                23    3 99999      Sham
## 7484  Weighted first 3.706327                23    3 99999      Sham
## 7486  Weighted first 3.740816                23    3 99999      Sham
## 7488  Weighted first 3.775306                23    3 99999      Sham
## 7490  Weighted first 3.809796                23    3 99999      Sham
## 7492  Weighted first 3.844286                23    3 99999      Sham
## 7494  Weighted first 3.878776                23    3 99999      Sham
## 7496  Weighted first 3.913265                23    3 99999      Sham
## 7498  Weighted first 3.947755                23    3 99999      Sham
## 7500  Weighted first 3.982245                23    3 99999      Sham
## 7502  Weighted first 4.016735                23    3 99999      Sham
## 7504  Weighted first 4.051224                23    3 99999      Sham
## 7506  Weighted first 4.085714                23    3 99999      Sham
## 7508  Weighted first 4.120204                23    3 99999      Sham
## 7510  Weighted first 4.154694                23    3 99999      Sham
## 7512  Weighted first 4.189184                23    3 99999      Sham
## 7514  Weighted first 4.223673                23    3 99999      Sham
## 7516  Weighted first 4.258163                23    3 99999      Sham
## 7518  Weighted first 4.292653                23    3 99999      Sham
## 7520  Weighted first 4.327143                23    3 99999      Sham
## 7522  Weighted first 4.361633                23    3 99999      Sham
## 7524  Weighted first 4.396122                23    3 99999      Sham
## 7526  Weighted first 4.430612                23    3 99999      Sham
## 7528  Weighted first 4.465102                23    3 99999      Sham
## 7530  Weighted first 4.499592                23    3 99999      Sham
## 7532  Weighted first 4.534082                23    3 99999      Sham
## 7534  Weighted first 4.568571                23    3 99999      Sham
## 7536  Weighted first 4.603061                23    3 99999      Sham
## 7538  Weighted first 4.637551                23    3 99999      Sham
## 7540  Weighted first 4.672041                23    3 99999      Sham
## 7542  Weighted first 4.706531                23    3 99999      Sham
## 7544  Weighted first 4.741020                23    3 99999      Sham
## 7546  Weighted first 4.775510                23    3 99999      Sham
## 7548  Weighted first 4.810000                23    3 99999      Sham
## 7550  Weighted first 3.965833                24    3 99999      Sham
## 7552  Weighted first 3.120000                24    3 99999      Sham
## 7554  Weighted first 3.154490                24    3 99999      Sham
## 7556  Weighted first 3.188980                24    3 99999      Sham
## 7558  Weighted first 3.223469                24    3 99999      Sham
## 7560  Weighted first 3.257959                24    3 99999      Sham
## 7562  Weighted first 3.292449                24    3 99999      Sham
## 7564  Weighted first 3.326939                24    3 99999      Sham
## 7566  Weighted first 3.361429                24    3 99999      Sham
## 7568  Weighted first 3.395918                24    3 99999      Sham
## 7570  Weighted first 3.430408                24    3 99999      Sham
## 7572  Weighted first 3.464898                24    3 99999      Sham
## 7574  Weighted first 3.499388                24    3 99999      Sham
## 7576  Weighted first 3.533878                24    3 99999      Sham
## 7578  Weighted first 3.568367                24    3 99999      Sham
## 7580  Weighted first 3.602857                24    3 99999      Sham
## 7582  Weighted first 3.637347                24    3 99999      Sham
## 7584  Weighted first 3.671837                24    3 99999      Sham
## 7586  Weighted first 3.706327                24    3 99999      Sham
## 7588  Weighted first 3.740816                24    3 99999      Sham
## 7590  Weighted first 3.775306                24    3 99999      Sham
## 7592  Weighted first 3.809796                24    3 99999      Sham
## 7594  Weighted first 3.844286                24    3 99999      Sham
## 7596  Weighted first 3.878776                24    3 99999      Sham
## 7598  Weighted first 3.913265                24    3 99999      Sham
## 7600  Weighted first 3.947755                24    3 99999      Sham
## 7602  Weighted first 3.982245                24    3 99999      Sham
## 7604  Weighted first 4.016735                24    3 99999      Sham
## 7606  Weighted first 4.051224                24    3 99999      Sham
## 7608  Weighted first 4.085714                24    3 99999      Sham
## 7610  Weighted first 4.120204                24    3 99999      Sham
## 7612  Weighted first 4.154694                24    3 99999      Sham
## 7614  Weighted first 4.189184                24    3 99999      Sham
## 7616  Weighted first 4.223673                24    3 99999      Sham
## 7618  Weighted first 4.258163                24    3 99999      Sham
## 7620  Weighted first 4.292653                24    3 99999      Sham
## 7622  Weighted first 4.327143                24    3 99999      Sham
## 7624  Weighted first 4.361633                24    3 99999      Sham
## 7626  Weighted first 4.396122                24    3 99999      Sham
## 7628  Weighted first 4.430612                24    3 99999      Sham
## 7630  Weighted first 4.465102                24    3 99999      Sham
## 7632  Weighted first 4.499592                24    3 99999      Sham
## 7634  Weighted first 4.534082                24    3 99999      Sham
## 7636  Weighted first 4.568571                24    3 99999      Sham
## 7638  Weighted first 4.603061                24    3 99999      Sham
## 7640  Weighted first 4.637551                24    3 99999      Sham
## 7642  Weighted first 4.672041                24    3 99999      Sham
## 7644  Weighted first 4.706531                24    3 99999      Sham
## 7646  Weighted first 4.741020                24    3 99999      Sham
## 7648  Weighted first 4.775510                24    3 99999      Sham
## 7650  Weighted first 4.810000                24    3 99999      Sham
## 7652  Weighted first 3.965833                25    3 99999      Sham
## 7654  Weighted first 3.120000                25    3 99999      Sham
## 7656  Weighted first 3.154490                25    3 99999      Sham
## 7658  Weighted first 3.188980                25    3 99999      Sham
## 7660  Weighted first 3.223469                25    3 99999      Sham
## 7662  Weighted first 3.257959                25    3 99999      Sham
## 7664  Weighted first 3.292449                25    3 99999      Sham
## 7666  Weighted first 3.326939                25    3 99999      Sham
## 7668  Weighted first 3.361429                25    3 99999      Sham
## 7670  Weighted first 3.395918                25    3 99999      Sham
## 7672  Weighted first 3.430408                25    3 99999      Sham
## 7674  Weighted first 3.464898                25    3 99999      Sham
## 7676  Weighted first 3.499388                25    3 99999      Sham
## 7678  Weighted first 3.533878                25    3 99999      Sham
## 7680  Weighted first 3.568367                25    3 99999      Sham
## 7682  Weighted first 3.602857                25    3 99999      Sham
## 7684  Weighted first 3.637347                25    3 99999      Sham
## 7686  Weighted first 3.671837                25    3 99999      Sham
## 7688  Weighted first 3.706327                25    3 99999      Sham
## 7690  Weighted first 3.740816                25    3 99999      Sham
## 7692  Weighted first 3.775306                25    3 99999      Sham
## 7694  Weighted first 3.809796                25    3 99999      Sham
## 7696  Weighted first 3.844286                25    3 99999      Sham
## 7698  Weighted first 3.878776                25    3 99999      Sham
## 7700  Weighted first 3.913265                25    3 99999      Sham
## 7702  Weighted first 3.947755                25    3 99999      Sham
## 7704  Weighted first 3.982245                25    3 99999      Sham
## 7706  Weighted first 4.016735                25    3 99999      Sham
## 7708  Weighted first 4.051224                25    3 99999      Sham
## 7710  Weighted first 4.085714                25    3 99999      Sham
## 7712  Weighted first 4.120204                25    3 99999      Sham
## 7714  Weighted first 4.154694                25    3 99999      Sham
## 7716  Weighted first 4.189184                25    3 99999      Sham
## 7718  Weighted first 4.223673                25    3 99999      Sham
## 7720  Weighted first 4.258163                25    3 99999      Sham
## 7722  Weighted first 4.292653                25    3 99999      Sham
## 7724  Weighted first 4.327143                25    3 99999      Sham
## 7726  Weighted first 4.361633                25    3 99999      Sham
## 7728  Weighted first 4.396122                25    3 99999      Sham
## 7730  Weighted first 4.430612                25    3 99999      Sham
## 7732  Weighted first 4.465102                25    3 99999      Sham
## 7734  Weighted first 4.499592                25    3 99999      Sham
## 7736  Weighted first 4.534082                25    3 99999      Sham
## 7738  Weighted first 4.568571                25    3 99999      Sham
## 7740  Weighted first 4.603061                25    3 99999      Sham
## 7742  Weighted first 4.637551                25    3 99999      Sham
## 7744  Weighted first 4.672041                25    3 99999      Sham
## 7746  Weighted first 4.706531                25    3 99999      Sham
## 7748  Weighted first 4.741020                25    3 99999      Sham
## 7750  Weighted first 4.775510                25    3 99999      Sham
## 7752  Weighted first 4.810000                25    3 99999      Sham
## 7754  Weighted first 3.965833                26    3 99999      Sham
## 7756  Weighted first 3.120000                26    3 99999      Sham
## 7758  Weighted first 3.154490                26    3 99999      Sham
## 7760  Weighted first 3.188980                26    3 99999      Sham
## 7762  Weighted first 3.223469                26    3 99999      Sham
## 7764  Weighted first 3.257959                26    3 99999      Sham
## 7766  Weighted first 3.292449                26    3 99999      Sham
## 7768  Weighted first 3.326939                26    3 99999      Sham
## 7770  Weighted first 3.361429                26    3 99999      Sham
## 7772  Weighted first 3.395918                26    3 99999      Sham
## 7774  Weighted first 3.430408                26    3 99999      Sham
## 7776  Weighted first 3.464898                26    3 99999      Sham
## 7778  Weighted first 3.499388                26    3 99999      Sham
## 7780  Weighted first 3.533878                26    3 99999      Sham
## 7782  Weighted first 3.568367                26    3 99999      Sham
## 7784  Weighted first 3.602857                26    3 99999      Sham
## 7786  Weighted first 3.637347                26    3 99999      Sham
## 7788  Weighted first 3.671837                26    3 99999      Sham
## 7790  Weighted first 3.706327                26    3 99999      Sham
## 7792  Weighted first 3.740816                26    3 99999      Sham
## 7794  Weighted first 3.775306                26    3 99999      Sham
## 7796  Weighted first 3.809796                26    3 99999      Sham
## 7798  Weighted first 3.844286                26    3 99999      Sham
## 7800  Weighted first 3.878776                26    3 99999      Sham
## 7802  Weighted first 3.913265                26    3 99999      Sham
## 7804  Weighted first 3.947755                26    3 99999      Sham
## 7806  Weighted first 3.982245                26    3 99999      Sham
## 7808  Weighted first 4.016735                26    3 99999      Sham
## 7810  Weighted first 4.051224                26    3 99999      Sham
## 7812  Weighted first 4.085714                26    3 99999      Sham
## 7814  Weighted first 4.120204                26    3 99999      Sham
## 7816  Weighted first 4.154694                26    3 99999      Sham
## 7818  Weighted first 4.189184                26    3 99999      Sham
## 7820  Weighted first 4.223673                26    3 99999      Sham
## 7822  Weighted first 4.258163                26    3 99999      Sham
## 7824  Weighted first 4.292653                26    3 99999      Sham
## 7826  Weighted first 4.327143                26    3 99999      Sham
## 7828  Weighted first 4.361633                26    3 99999      Sham
## 7830  Weighted first 4.396122                26    3 99999      Sham
## 7832  Weighted first 4.430612                26    3 99999      Sham
## 7834  Weighted first 4.465102                26    3 99999      Sham
## 7836  Weighted first 4.499592                26    3 99999      Sham
## 7838  Weighted first 4.534082                26    3 99999      Sham
## 7840  Weighted first 4.568571                26    3 99999      Sham
## 7842  Weighted first 4.603061                26    3 99999      Sham
## 7844  Weighted first 4.637551                26    3 99999      Sham
## 7846  Weighted first 4.672041                26    3 99999      Sham
## 7848  Weighted first 4.706531                26    3 99999      Sham
## 7850  Weighted first 4.741020                26    3 99999      Sham
## 7852  Weighted first 4.775510                26    3 99999      Sham
## 7854  Weighted first 4.810000                26    3 99999      Sham
## 7856  Weighted first 3.965833                27    3 99999      Sham
## 7858  Weighted first 3.120000                27    3 99999      Sham
## 7860  Weighted first 3.154490                27    3 99999      Sham
## 7862  Weighted first 3.188980                27    3 99999      Sham
## 7864  Weighted first 3.223469                27    3 99999      Sham
## 7866  Weighted first 3.257959                27    3 99999      Sham
## 7868  Weighted first 3.292449                27    3 99999      Sham
## 7870  Weighted first 3.326939                27    3 99999      Sham
## 7872  Weighted first 3.361429                27    3 99999      Sham
## 7874  Weighted first 3.395918                27    3 99999      Sham
## 7876  Weighted first 3.430408                27    3 99999      Sham
## 7878  Weighted first 3.464898                27    3 99999      Sham
## 7880  Weighted first 3.499388                27    3 99999      Sham
## 7882  Weighted first 3.533878                27    3 99999      Sham
## 7884  Weighted first 3.568367                27    3 99999      Sham
## 7886  Weighted first 3.602857                27    3 99999      Sham
## 7888  Weighted first 3.637347                27    3 99999      Sham
## 7890  Weighted first 3.671837                27    3 99999      Sham
## 7892  Weighted first 3.706327                27    3 99999      Sham
## 7894  Weighted first 3.740816                27    3 99999      Sham
## 7896  Weighted first 3.775306                27    3 99999      Sham
## 7898  Weighted first 3.809796                27    3 99999      Sham
## 7900  Weighted first 3.844286                27    3 99999      Sham
## 7902  Weighted first 3.878776                27    3 99999      Sham
## 7904  Weighted first 3.913265                27    3 99999      Sham
## 7906  Weighted first 3.947755                27    3 99999      Sham
## 7908  Weighted first 3.982245                27    3 99999      Sham
## 7910  Weighted first 4.016735                27    3 99999      Sham
## 7912  Weighted first 4.051224                27    3 99999      Sham
## 7914  Weighted first 4.085714                27    3 99999      Sham
## 7916  Weighted first 4.120204                27    3 99999      Sham
## 7918  Weighted first 4.154694                27    3 99999      Sham
## 7920  Weighted first 4.189184                27    3 99999      Sham
## 7922  Weighted first 4.223673                27    3 99999      Sham
## 7924  Weighted first 4.258163                27    3 99999      Sham
## 7926  Weighted first 4.292653                27    3 99999      Sham
## 7928  Weighted first 4.327143                27    3 99999      Sham
## 7930  Weighted first 4.361633                27    3 99999      Sham
## 7932  Weighted first 4.396122                27    3 99999      Sham
## 7934  Weighted first 4.430612                27    3 99999      Sham
## 7936  Weighted first 4.465102                27    3 99999      Sham
## 7938  Weighted first 4.499592                27    3 99999      Sham
## 7940  Weighted first 4.534082                27    3 99999      Sham
## 7942  Weighted first 4.568571                27    3 99999      Sham
## 7944  Weighted first 4.603061                27    3 99999      Sham
## 7946  Weighted first 4.637551                27    3 99999      Sham
## 7948  Weighted first 4.672041                27    3 99999      Sham
## 7950  Weighted first 4.706531                27    3 99999      Sham
## 7952  Weighted first 4.741020                27    3 99999      Sham
## 7954  Weighted first 4.775510                27    3 99999      Sham
## 7956  Weighted first 4.810000                27    3 99999      Sham
## 7958  Weighted first 3.965833                28    3 99999      Sham
## 7960  Weighted first 3.120000                28    3 99999      Sham
## 7962  Weighted first 3.154490                28    3 99999      Sham
## 7964  Weighted first 3.188980                28    3 99999      Sham
## 7966  Weighted first 3.223469                28    3 99999      Sham
## 7968  Weighted first 3.257959                28    3 99999      Sham
## 7970  Weighted first 3.292449                28    3 99999      Sham
## 7972  Weighted first 3.326939                28    3 99999      Sham
## 7974  Weighted first 3.361429                28    3 99999      Sham
## 7976  Weighted first 3.395918                28    3 99999      Sham
## 7978  Weighted first 3.430408                28    3 99999      Sham
## 7980  Weighted first 3.464898                28    3 99999      Sham
## 7982  Weighted first 3.499388                28    3 99999      Sham
## 7984  Weighted first 3.533878                28    3 99999      Sham
## 7986  Weighted first 3.568367                28    3 99999      Sham
## 7988  Weighted first 3.602857                28    3 99999      Sham
## 7990  Weighted first 3.637347                28    3 99999      Sham
## 7992  Weighted first 3.671837                28    3 99999      Sham
## 7994  Weighted first 3.706327                28    3 99999      Sham
## 7996  Weighted first 3.740816                28    3 99999      Sham
## 7998  Weighted first 3.775306                28    3 99999      Sham
## 8000  Weighted first 3.809796                28    3 99999      Sham
## 8002  Weighted first 3.844286                28    3 99999      Sham
## 8004  Weighted first 3.878776                28    3 99999      Sham
## 8006  Weighted first 3.913265                28    3 99999      Sham
## 8008  Weighted first 3.947755                28    3 99999      Sham
## 8010  Weighted first 3.982245                28    3 99999      Sham
## 8012  Weighted first 4.016735                28    3 99999      Sham
## 8014  Weighted first 4.051224                28    3 99999      Sham
## 8016  Weighted first 4.085714                28    3 99999      Sham
## 8018  Weighted first 4.120204                28    3 99999      Sham
## 8020  Weighted first 4.154694                28    3 99999      Sham
## 8022  Weighted first 4.189184                28    3 99999      Sham
## 8024  Weighted first 4.223673                28    3 99999      Sham
## 8026  Weighted first 4.258163                28    3 99999      Sham
## 8028  Weighted first 4.292653                28    3 99999      Sham
## 8030  Weighted first 4.327143                28    3 99999      Sham
## 8032  Weighted first 4.361633                28    3 99999      Sham
## 8034  Weighted first 4.396122                28    3 99999      Sham
## 8036  Weighted first 4.430612                28    3 99999      Sham
## 8038  Weighted first 4.465102                28    3 99999      Sham
## 8040  Weighted first 4.499592                28    3 99999      Sham
## 8042  Weighted first 4.534082                28    3 99999      Sham
## 8044  Weighted first 4.568571                28    3 99999      Sham
## 8046  Weighted first 4.603061                28    3 99999      Sham
## 8048  Weighted first 4.637551                28    3 99999      Sham
## 8050  Weighted first 4.672041                28    3 99999      Sham
## 8052  Weighted first 4.706531                28    3 99999      Sham
## 8054  Weighted first 4.741020                28    3 99999      Sham
## 8056  Weighted first 4.775510                28    3 99999      Sham
## 8058  Weighted first 4.810000                28    3 99999      Sham
## 8060  Weighted first 3.965833                29    3 99999      Sham
## 8062  Weighted first 3.120000                29    3 99999      Sham
## 8064  Weighted first 3.154490                29    3 99999      Sham
## 8066  Weighted first 3.188980                29    3 99999      Sham
## 8068  Weighted first 3.223469                29    3 99999      Sham
## 8070  Weighted first 3.257959                29    3 99999      Sham
## 8072  Weighted first 3.292449                29    3 99999      Sham
## 8074  Weighted first 3.326939                29    3 99999      Sham
## 8076  Weighted first 3.361429                29    3 99999      Sham
## 8078  Weighted first 3.395918                29    3 99999      Sham
## 8080  Weighted first 3.430408                29    3 99999      Sham
## 8082  Weighted first 3.464898                29    3 99999      Sham
## 8084  Weighted first 3.499388                29    3 99999      Sham
## 8086  Weighted first 3.533878                29    3 99999      Sham
## 8088  Weighted first 3.568367                29    3 99999      Sham
## 8090  Weighted first 3.602857                29    3 99999      Sham
## 8092  Weighted first 3.637347                29    3 99999      Sham
## 8094  Weighted first 3.671837                29    3 99999      Sham
## 8096  Weighted first 3.706327                29    3 99999      Sham
## 8098  Weighted first 3.740816                29    3 99999      Sham
## 8100  Weighted first 3.775306                29    3 99999      Sham
## 8102  Weighted first 3.809796                29    3 99999      Sham
## 8104  Weighted first 3.844286                29    3 99999      Sham
## 8106  Weighted first 3.878776                29    3 99999      Sham
## 8108  Weighted first 3.913265                29    3 99999      Sham
## 8110  Weighted first 3.947755                29    3 99999      Sham
## 8112  Weighted first 3.982245                29    3 99999      Sham
## 8114  Weighted first 4.016735                29    3 99999      Sham
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## 8118  Weighted first 4.085714                29    3 99999      Sham
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## 8122  Weighted first 4.154694                29    3 99999      Sham
## 8124  Weighted first 4.189184                29    3 99999      Sham
## 8126  Weighted first 4.223673                29    3 99999      Sham
## 8128  Weighted first 4.258163                29    3 99999      Sham
## 8130  Weighted first 4.292653                29    3 99999      Sham
## 8132  Weighted first 4.327143                29    3 99999      Sham
## 8134  Weighted first 4.361633                29    3 99999      Sham
## 8136  Weighted first 4.396122                29    3 99999      Sham
## 8138  Weighted first 4.430612                29    3 99999      Sham
## 8140  Weighted first 4.465102                29    3 99999      Sham
## 8142  Weighted first 4.499592                29    3 99999      Sham
## 8144  Weighted first 4.534082                29    3 99999      Sham
## 8146  Weighted first 4.568571                29    3 99999      Sham
## 8148  Weighted first 4.603061                29    3 99999      Sham
## 8150  Weighted first 4.637551                29    3 99999      Sham
## 8152  Weighted first 4.672041                29    3 99999      Sham
## 8154  Weighted first 4.706531                29    3 99999      Sham
## 8156  Weighted first 4.741020                29    3 99999      Sham
## 8158  Weighted first 4.775510                29    3 99999      Sham
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## 8162  Weighted first 3.965833                30    3 99999      Sham
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## 8168  Weighted first 3.188980                30    3 99999      Sham
## 8170  Weighted first 3.223469                30    3 99999      Sham
## 8172  Weighted first 3.257959                30    3 99999      Sham
## 8174  Weighted first 3.292449                30    3 99999      Sham
## 8176  Weighted first 3.326939                30    3 99999      Sham
## 8178  Weighted first 3.361429                30    3 99999      Sham
## 8180  Weighted first 3.395918                30    3 99999      Sham
## 8182  Weighted first 3.430408                30    3 99999      Sham
## 8184  Weighted first 3.464898                30    3 99999      Sham
## 8186  Weighted first 3.499388                30    3 99999      Sham
## 8188  Weighted first 3.533878                30    3 99999      Sham
## 8190  Weighted first 3.568367                30    3 99999      Sham
## 8192  Weighted first 3.602857                30    3 99999      Sham
## 8194  Weighted first 3.637347                30    3 99999      Sham
## 8196  Weighted first 3.671837                30    3 99999      Sham
## 8198  Weighted first 3.706327                30    3 99999      Sham
## 8200  Weighted first 3.740816                30    3 99999      Sham
## 8202  Weighted first 3.775306                30    3 99999      Sham
## 8204  Weighted first 3.809796                30    3 99999      Sham
## 8206  Weighted first 3.844286                30    3 99999      Sham
## 8208  Weighted first 3.878776                30    3 99999      Sham
## 8210  Weighted first 3.913265                30    3 99999      Sham
## 8212  Weighted first 3.947755                30    3 99999      Sham
## 8214  Weighted first 3.982245                30    3 99999      Sham
## 8216  Weighted first 4.016735                30    3 99999      Sham
## 8218  Weighted first 4.051224                30    3 99999      Sham
## 8220  Weighted first 4.085714                30    3 99999      Sham
## 8222  Weighted first 4.120204                30    3 99999      Sham
## 8224  Weighted first 4.154694                30    3 99999      Sham
## 8226  Weighted first 4.189184                30    3 99999      Sham
## 8228  Weighted first 4.223673                30    3 99999      Sham
## 8230  Weighted first 4.258163                30    3 99999      Sham
## 8232  Weighted first 4.292653                30    3 99999      Sham
## 8234  Weighted first 4.327143                30    3 99999      Sham
## 8236  Weighted first 4.361633                30    3 99999      Sham
## 8238  Weighted first 4.396122                30    3 99999      Sham
## 8240  Weighted first 4.430612                30    3 99999      Sham
## 8242  Weighted first 4.465102                30    3 99999      Sham
## 8244  Weighted first 4.499592                30    3 99999      Sham
## 8246  Weighted first 4.534082                30    3 99999      Sham
## 8248  Weighted first 4.568571                30    3 99999      Sham
## 8250  Weighted first 4.603061                30    3 99999      Sham
## 8252  Weighted first 4.637551                30    3 99999      Sham
## 8254  Weighted first 4.672041                30    3 99999      Sham
## 8256  Weighted first 4.706531                30    3 99999      Sham
## 8258  Weighted first 4.741020                30    3 99999      Sham
## 8260  Weighted first 4.775510                30    3 99999      Sham
## 8262  Weighted first 4.810000                30    3 99999      Sham
## 8264  Weighted first 3.965833                31    3 99999      Sham
## 8266  Weighted first 3.120000                31    3 99999      Sham
## 8268  Weighted first 3.154490                31    3 99999      Sham
## 8270  Weighted first 3.188980                31    3 99999      Sham
## 8272  Weighted first 3.223469                31    3 99999      Sham
## 8274  Weighted first 3.257959                31    3 99999      Sham
## 8276  Weighted first 3.292449                31    3 99999      Sham
## 8278  Weighted first 3.326939                31    3 99999      Sham
## 8280  Weighted first 3.361429                31    3 99999      Sham
## 8282  Weighted first 3.395918                31    3 99999      Sham
## 8284  Weighted first 3.430408                31    3 99999      Sham
## 8286  Weighted first 3.464898                31    3 99999      Sham
## 8288  Weighted first 3.499388                31    3 99999      Sham
## 8290  Weighted first 3.533878                31    3 99999      Sham
## 8292  Weighted first 3.568367                31    3 99999      Sham
## 8294  Weighted first 3.602857                31    3 99999      Sham
## 8296  Weighted first 3.637347                31    3 99999      Sham
## 8298  Weighted first 3.671837                31    3 99999      Sham
## 8300  Weighted first 3.706327                31    3 99999      Sham
## 8302  Weighted first 3.740816                31    3 99999      Sham
## 8304  Weighted first 3.775306                31    3 99999      Sham
## 8306  Weighted first 3.809796                31    3 99999      Sham
## 8308  Weighted first 3.844286                31    3 99999      Sham
## 8310  Weighted first 3.878776                31    3 99999      Sham
## 8312  Weighted first 3.913265                31    3 99999      Sham
## 8314  Weighted first 3.947755                31    3 99999      Sham
## 8316  Weighted first 3.982245                31    3 99999      Sham
## 8318  Weighted first 4.016735                31    3 99999      Sham
## 8320  Weighted first 4.051224                31    3 99999      Sham
## 8322  Weighted first 4.085714                31    3 99999      Sham
## 8324  Weighted first 4.120204                31    3 99999      Sham
## 8326  Weighted first 4.154694                31    3 99999      Sham
## 8328  Weighted first 4.189184                31    3 99999      Sham
## 8330  Weighted first 4.223673                31    3 99999      Sham
## 8332  Weighted first 4.258163                31    3 99999      Sham
## 8334  Weighted first 4.292653                31    3 99999      Sham
## 8336  Weighted first 4.327143                31    3 99999      Sham
## 8338  Weighted first 4.361633                31    3 99999      Sham
## 8340  Weighted first 4.396122                31    3 99999      Sham
## 8342  Weighted first 4.430612                31    3 99999      Sham
## 8344  Weighted first 4.465102                31    3 99999      Sham
## 8346  Weighted first 4.499592                31    3 99999      Sham
## 8348  Weighted first 4.534082                31    3 99999      Sham
## 8350  Weighted first 4.568571                31    3 99999      Sham
## 8352  Weighted first 4.603061                31    3 99999      Sham
## 8354  Weighted first 4.637551                31    3 99999      Sham
## 8356  Weighted first 4.672041                31    3 99999      Sham
## 8358  Weighted first 4.706531                31    3 99999      Sham
## 8360  Weighted first 4.741020                31    3 99999      Sham
## 8362  Weighted first 4.775510                31    3 99999      Sham
## 8364  Weighted first 4.810000                31    3 99999      Sham
## 8366  Weighted first 3.965833                32    3 99999      Sham
## 8368  Weighted first 3.120000                32    3 99999      Sham
## 8370  Weighted first 3.154490                32    3 99999      Sham
## 8372  Weighted first 3.188980                32    3 99999      Sham
## 8374  Weighted first 3.223469                32    3 99999      Sham
## 8376  Weighted first 3.257959                32    3 99999      Sham
## 8378  Weighted first 3.292449                32    3 99999      Sham
## 8380  Weighted first 3.326939                32    3 99999      Sham
## 8382  Weighted first 3.361429                32    3 99999      Sham
## 8384  Weighted first 3.395918                32    3 99999      Sham
## 8386  Weighted first 3.430408                32    3 99999      Sham
## 8388  Weighted first 3.464898                32    3 99999      Sham
## 8390  Weighted first 3.499388                32    3 99999      Sham
## 8392  Weighted first 3.533878                32    3 99999      Sham
## 8394  Weighted first 3.568367                32    3 99999      Sham
## 8396  Weighted first 3.602857                32    3 99999      Sham
## 8398  Weighted first 3.637347                32    3 99999      Sham
## 8400  Weighted first 3.671837                32    3 99999      Sham
## 8402  Weighted first 3.706327                32    3 99999      Sham
## 8404  Weighted first 3.740816                32    3 99999      Sham
## 8406  Weighted first 3.775306                32    3 99999      Sham
## 8408  Weighted first 3.809796                32    3 99999      Sham
## 8410  Weighted first 3.844286                32    3 99999      Sham
## 8412  Weighted first 3.878776                32    3 99999      Sham
## 8414  Weighted first 3.913265                32    3 99999      Sham
## 8416  Weighted first 3.947755                32    3 99999      Sham
## 8418  Weighted first 3.982245                32    3 99999      Sham
## 8420  Weighted first 4.016735                32    3 99999      Sham
## 8422  Weighted first 4.051224                32    3 99999      Sham
## 8424  Weighted first 4.085714                32    3 99999      Sham
## 8426  Weighted first 4.120204                32    3 99999      Sham
## 8428  Weighted first 4.154694                32    3 99999      Sham
## 8430  Weighted first 4.189184                32    3 99999      Sham
## 8432  Weighted first 4.223673                32    3 99999      Sham
## 8434  Weighted first 4.258163                32    3 99999      Sham
## 8436  Weighted first 4.292653                32    3 99999      Sham
## 8438  Weighted first 4.327143                32    3 99999      Sham
## 8440  Weighted first 4.361633                32    3 99999      Sham
## 8442  Weighted first 4.396122                32    3 99999      Sham
## 8444  Weighted first 4.430612                32    3 99999      Sham
## 8446  Weighted first 4.465102                32    3 99999      Sham
## 8448  Weighted first 4.499592                32    3 99999      Sham
## 8450  Weighted first 4.534082                32    3 99999      Sham
## 8452  Weighted first 4.568571                32    3 99999      Sham
## 8454  Weighted first 4.603061                32    3 99999      Sham
## 8456  Weighted first 4.637551                32    3 99999      Sham
## 8458  Weighted first 4.672041                32    3 99999      Sham
## 8460  Weighted first 4.706531                32    3 99999      Sham
## 8462  Weighted first 4.741020                32    3 99999      Sham
## 8464  Weighted first 4.775510                32    3 99999      Sham
## 8466  Weighted first 4.810000                32    3 99999      Sham
## 8468  Weighted first 3.965833                33    3 99999      Sham
## 8470  Weighted first 3.120000                33    3 99999      Sham
## 8472  Weighted first 3.154490                33    3 99999      Sham
## 8474  Weighted first 3.188980                33    3 99999      Sham
## 8476  Weighted first 3.223469                33    3 99999      Sham
## 8478  Weighted first 3.257959                33    3 99999      Sham
## 8480  Weighted first 3.292449                33    3 99999      Sham
## 8482  Weighted first 3.326939                33    3 99999      Sham
## 8484  Weighted first 3.361429                33    3 99999      Sham
## 8486  Weighted first 3.395918                33    3 99999      Sham
## 8488  Weighted first 3.430408                33    3 99999      Sham
## 8490  Weighted first 3.464898                33    3 99999      Sham
## 8492  Weighted first 3.499388                33    3 99999      Sham
## 8494  Weighted first 3.533878                33    3 99999      Sham
## 8496  Weighted first 3.568367                33    3 99999      Sham
## 8498  Weighted first 3.602857                33    3 99999      Sham
## 8500  Weighted first 3.637347                33    3 99999      Sham
## 8502  Weighted first 3.671837                33    3 99999      Sham
## 8504  Weighted first 3.706327                33    3 99999      Sham
## 8506  Weighted first 3.740816                33    3 99999      Sham
## 8508  Weighted first 3.775306                33    3 99999      Sham
## 8510  Weighted first 3.809796                33    3 99999      Sham
## 8512  Weighted first 3.844286                33    3 99999      Sham
## 8514  Weighted first 3.878776                33    3 99999      Sham
## 8516  Weighted first 3.913265                33    3 99999      Sham
## 8518  Weighted first 3.947755                33    3 99999      Sham
## 8520  Weighted first 3.982245                33    3 99999      Sham
## 8522  Weighted first 4.016735                33    3 99999      Sham
## 8524  Weighted first 4.051224                33    3 99999      Sham
## 8526  Weighted first 4.085714                33    3 99999      Sham
## 8528  Weighted first 4.120204                33    3 99999      Sham
## 8530  Weighted first 4.154694                33    3 99999      Sham
## 8532  Weighted first 4.189184                33    3 99999      Sham
## 8534  Weighted first 4.223673                33    3 99999      Sham
## 8536  Weighted first 4.258163                33    3 99999      Sham
## 8538  Weighted first 4.292653                33    3 99999      Sham
## 8540  Weighted first 4.327143                33    3 99999      Sham
## 8542  Weighted first 4.361633                33    3 99999      Sham
## 8544  Weighted first 4.396122                33    3 99999      Sham
## 8546  Weighted first 4.430612                33    3 99999      Sham
## 8548  Weighted first 4.465102                33    3 99999      Sham
## 8550  Weighted first 4.499592                33    3 99999      Sham
## 8552  Weighted first 4.534082                33    3 99999      Sham
## 8554  Weighted first 4.568571                33    3 99999      Sham
## 8556  Weighted first 4.603061                33    3 99999      Sham
## 8558  Weighted first 4.637551                33    3 99999      Sham
## 8560  Weighted first 4.672041                33    3 99999      Sham
## 8562  Weighted first 4.706531                33    3 99999      Sham
## 8564  Weighted first 4.741020                33    3 99999      Sham
## 8566  Weighted first 4.775510                33    3 99999      Sham
## 8568  Weighted first 4.810000                33    3 99999      Sham
## 8570  Weighted first 3.965833                34    3 99999      Sham
## 8572  Weighted first 3.120000                34    3 99999      Sham
## 8574  Weighted first 3.154490                34    3 99999      Sham
## 8576  Weighted first 3.188980                34    3 99999      Sham
## 8578  Weighted first 3.223469                34    3 99999      Sham
## 8580  Weighted first 3.257959                34    3 99999      Sham
## 8582  Weighted first 3.292449                34    3 99999      Sham
## 8584  Weighted first 3.326939                34    3 99999      Sham
## 8586  Weighted first 3.361429                34    3 99999      Sham
## 8588  Weighted first 3.395918                34    3 99999      Sham
## 8590  Weighted first 3.430408                34    3 99999      Sham
## 8592  Weighted first 3.464898                34    3 99999      Sham
## 8594  Weighted first 3.499388                34    3 99999      Sham
## 8596  Weighted first 3.533878                34    3 99999      Sham
## 8598  Weighted first 3.568367                34    3 99999      Sham
## 8600  Weighted first 3.602857                34    3 99999      Sham
## 8602  Weighted first 3.637347                34    3 99999      Sham
## 8604  Weighted first 3.671837                34    3 99999      Sham
## 8606  Weighted first 3.706327                34    3 99999      Sham
## 8608  Weighted first 3.740816                34    3 99999      Sham
## 8610  Weighted first 3.775306                34    3 99999      Sham
## 8612  Weighted first 3.809796                34    3 99999      Sham
## 8614  Weighted first 3.844286                34    3 99999      Sham
## 8616  Weighted first 3.878776                34    3 99999      Sham
## 8618  Weighted first 3.913265                34    3 99999      Sham
## 8620  Weighted first 3.947755                34    3 99999      Sham
## 8622  Weighted first 3.982245                34    3 99999      Sham
## 8624  Weighted first 4.016735                34    3 99999      Sham
## 8626  Weighted first 4.051224                34    3 99999      Sham
## 8628  Weighted first 4.085714                34    3 99999      Sham
## 8630  Weighted first 4.120204                34    3 99999      Sham
## 8632  Weighted first 4.154694                34    3 99999      Sham
## 8634  Weighted first 4.189184                34    3 99999      Sham
## 8636  Weighted first 4.223673                34    3 99999      Sham
## 8638  Weighted first 4.258163                34    3 99999      Sham
## 8640  Weighted first 4.292653                34    3 99999      Sham
## 8642  Weighted first 4.327143                34    3 99999      Sham
## 8644  Weighted first 4.361633                34    3 99999      Sham
## 8646  Weighted first 4.396122                34    3 99999      Sham
## 8648  Weighted first 4.430612                34    3 99999      Sham
## 8650  Weighted first 4.465102                34    3 99999      Sham
## 8652  Weighted first 4.499592                34    3 99999      Sham
## 8654  Weighted first 4.534082                34    3 99999      Sham
## 8656  Weighted first 4.568571                34    3 99999      Sham
## 8658  Weighted first 4.603061                34    3 99999      Sham
## 8660  Weighted first 4.637551                34    3 99999      Sham
## 8662  Weighted first 4.672041                34    3 99999      Sham
## 8664  Weighted first 4.706531                34    3 99999      Sham
## 8666  Weighted first 4.741020                34    3 99999      Sham
## 8668  Weighted first 4.775510                34    3 99999      Sham
## 8670  Weighted first 4.810000                34    3 99999      Sham
## 8672  Weighted first 3.965833                35    3 99999      Sham
## 8674  Weighted first 3.120000                35    3 99999      Sham
## 8676  Weighted first 3.154490                35    3 99999      Sham
## 8678  Weighted first 3.188980                35    3 99999      Sham
## 8680  Weighted first 3.223469                35    3 99999      Sham
## 8682  Weighted first 3.257959                35    3 99999      Sham
## 8684  Weighted first 3.292449                35    3 99999      Sham
## 8686  Weighted first 3.326939                35    3 99999      Sham
## 8688  Weighted first 3.361429                35    3 99999      Sham
## 8690  Weighted first 3.395918                35    3 99999      Sham
## 8692  Weighted first 3.430408                35    3 99999      Sham
## 8694  Weighted first 3.464898                35    3 99999      Sham
## 8696  Weighted first 3.499388                35    3 99999      Sham
## 8698  Weighted first 3.533878                35    3 99999      Sham
## 8700  Weighted first 3.568367                35    3 99999      Sham
## 8702  Weighted first 3.602857                35    3 99999      Sham
## 8704  Weighted first 3.637347                35    3 99999      Sham
## 8706  Weighted first 3.671837                35    3 99999      Sham
## 8708  Weighted first 3.706327                35    3 99999      Sham
## 8710  Weighted first 3.740816                35    3 99999      Sham
## 8712  Weighted first 3.775306                35    3 99999      Sham
## 8714  Weighted first 3.809796                35    3 99999      Sham
## 8716  Weighted first 3.844286                35    3 99999      Sham
## 8718  Weighted first 3.878776                35    3 99999      Sham
## 8720  Weighted first 3.913265                35    3 99999      Sham
## 8722  Weighted first 3.947755                35    3 99999      Sham
## 8724  Weighted first 3.982245                35    3 99999      Sham
## 8726  Weighted first 4.016735                35    3 99999      Sham
## 8728  Weighted first 4.051224                35    3 99999      Sham
## 8730  Weighted first 4.085714                35    3 99999      Sham
## 8732  Weighted first 4.120204                35    3 99999      Sham
## 8734  Weighted first 4.154694                35    3 99999      Sham
## 8736  Weighted first 4.189184                35    3 99999      Sham
## 8738  Weighted first 4.223673                35    3 99999      Sham
## 8740  Weighted first 4.258163                35    3 99999      Sham
## 8742  Weighted first 4.292653                35    3 99999      Sham
## 8744  Weighted first 4.327143                35    3 99999      Sham
## 8746  Weighted first 4.361633                35    3 99999      Sham
## 8748  Weighted first 4.396122                35    3 99999      Sham
## 8750  Weighted first 4.430612                35    3 99999      Sham
## 8752  Weighted first 4.465102                35    3 99999      Sham
## 8754  Weighted first 4.499592                35    3 99999      Sham
## 8756  Weighted first 4.534082                35    3 99999      Sham
## 8758  Weighted first 4.568571                35    3 99999      Sham
## 8760  Weighted first 4.603061                35    3 99999      Sham
## 8762  Weighted first 4.637551                35    3 99999      Sham
## 8764  Weighted first 4.672041                35    3 99999      Sham
## 8766  Weighted first 4.706531                35    3 99999      Sham
## 8768  Weighted first 4.741020                35    3 99999      Sham
## 8770  Weighted first 4.775510                35    3 99999      Sham
## 8772  Weighted first 4.810000                35    3 99999      Sham
## 8774  Weighted first 3.965833                36    3 99999      Sham
## 8776  Weighted first 3.120000                36    3 99999      Sham
## 8778  Weighted first 3.154490                36    3 99999      Sham
## 8780  Weighted first 3.188980                36    3 99999      Sham
## 8782  Weighted first 3.223469                36    3 99999      Sham
## 8784  Weighted first 3.257959                36    3 99999      Sham
## 8786  Weighted first 3.292449                36    3 99999      Sham
## 8788  Weighted first 3.326939                36    3 99999      Sham
## 8790  Weighted first 3.361429                36    3 99999      Sham
## 8792  Weighted first 3.395918                36    3 99999      Sham
## 8794  Weighted first 3.430408                36    3 99999      Sham
## 8796  Weighted first 3.464898                36    3 99999      Sham
## 8798  Weighted first 3.499388                36    3 99999      Sham
## 8800  Weighted first 3.533878                36    3 99999      Sham
## 8802  Weighted first 3.568367                36    3 99999      Sham
## 8804  Weighted first 3.602857                36    3 99999      Sham
## 8806  Weighted first 3.637347                36    3 99999      Sham
## 8808  Weighted first 3.671837                36    3 99999      Sham
## 8810  Weighted first 3.706327                36    3 99999      Sham
## 8812  Weighted first 3.740816                36    3 99999      Sham
## 8814  Weighted first 3.775306                36    3 99999      Sham
## 8816  Weighted first 3.809796                36    3 99999      Sham
## 8818  Weighted first 3.844286                36    3 99999      Sham
## 8820  Weighted first 3.878776                36    3 99999      Sham
## 8822  Weighted first 3.913265                36    3 99999      Sham
## 8824  Weighted first 3.947755                36    3 99999      Sham
## 8826  Weighted first 3.982245                36    3 99999      Sham
## 8828  Weighted first 4.016735                36    3 99999      Sham
## 8830  Weighted first 4.051224                36    3 99999      Sham
## 8832  Weighted first 4.085714                36    3 99999      Sham
## 8834  Weighted first 4.120204                36    3 99999      Sham
## 8836  Weighted first 4.154694                36    3 99999      Sham
## 8838  Weighted first 4.189184                36    3 99999      Sham
## 8840  Weighted first 4.223673                36    3 99999      Sham
## 8842  Weighted first 4.258163                36    3 99999      Sham
## 8844  Weighted first 4.292653                36    3 99999      Sham
## 8846  Weighted first 4.327143                36    3 99999      Sham
## 8848  Weighted first 4.361633                36    3 99999      Sham
## 8850  Weighted first 4.396122                36    3 99999      Sham
## 8852  Weighted first 4.430612                36    3 99999      Sham
## 8854  Weighted first 4.465102                36    3 99999      Sham
## 8856  Weighted first 4.499592                36    3 99999      Sham
## 8858  Weighted first 4.534082                36    3 99999      Sham
## 8860  Weighted first 4.568571                36    3 99999      Sham
## 8862  Weighted first 4.603061                36    3 99999      Sham
## 8864  Weighted first 4.637551                36    3 99999      Sham
## 8866  Weighted first 4.672041                36    3 99999      Sham
## 8868  Weighted first 4.706531                36    3 99999      Sham
## 8870  Weighted first 4.741020                36    3 99999      Sham
## 8872  Weighted first 4.775510                36    3 99999      Sham
## 8874  Weighted first 4.810000                36    3 99999      Sham
## 8876  Weighted first 3.965833                37    3 99999      Sham
## 8878  Weighted first 3.120000                37    3 99999      Sham
## 8880  Weighted first 3.154490                37    3 99999      Sham
## 8882  Weighted first 3.188980                37    3 99999      Sham
## 8884  Weighted first 3.223469                37    3 99999      Sham
## 8886  Weighted first 3.257959                37    3 99999      Sham
## 8888  Weighted first 3.292449                37    3 99999      Sham
## 8890  Weighted first 3.326939                37    3 99999      Sham
## 8892  Weighted first 3.361429                37    3 99999      Sham
## 8894  Weighted first 3.395918                37    3 99999      Sham
## 8896  Weighted first 3.430408                37    3 99999      Sham
## 8898  Weighted first 3.464898                37    3 99999      Sham
## 8900  Weighted first 3.499388                37    3 99999      Sham
## 8902  Weighted first 3.533878                37    3 99999      Sham
## 8904  Weighted first 3.568367                37    3 99999      Sham
## 8906  Weighted first 3.602857                37    3 99999      Sham
## 8908  Weighted first 3.637347                37    3 99999      Sham
## 8910  Weighted first 3.671837                37    3 99999      Sham
## 8912  Weighted first 3.706327                37    3 99999      Sham
## 8914  Weighted first 3.740816                37    3 99999      Sham
## 8916  Weighted first 3.775306                37    3 99999      Sham
## 8918  Weighted first 3.809796                37    3 99999      Sham
## 8920  Weighted first 3.844286                37    3 99999      Sham
## 8922  Weighted first 3.878776                37    3 99999      Sham
## 8924  Weighted first 3.913265                37    3 99999      Sham
## 8926  Weighted first 3.947755                37    3 99999      Sham
## 8928  Weighted first 3.982245                37    3 99999      Sham
## 8930  Weighted first 4.016735                37    3 99999      Sham
## 8932  Weighted first 4.051224                37    3 99999      Sham
## 8934  Weighted first 4.085714                37    3 99999      Sham
## 8936  Weighted first 4.120204                37    3 99999      Sham
## 8938  Weighted first 4.154694                37    3 99999      Sham
## 8940  Weighted first 4.189184                37    3 99999      Sham
## 8942  Weighted first 4.223673                37    3 99999      Sham
## 8944  Weighted first 4.258163                37    3 99999      Sham
## 8946  Weighted first 4.292653                37    3 99999      Sham
## 8948  Weighted first 4.327143                37    3 99999      Sham
## 8950  Weighted first 4.361633                37    3 99999      Sham
## 8952  Weighted first 4.396122                37    3 99999      Sham
## 8954  Weighted first 4.430612                37    3 99999      Sham
## 8956  Weighted first 4.465102                37    3 99999      Sham
## 8958  Weighted first 4.499592                37    3 99999      Sham
## 8960  Weighted first 4.534082                37    3 99999      Sham
## 8962  Weighted first 4.568571                37    3 99999      Sham
## 8964  Weighted first 4.603061                37    3 99999      Sham
## 8966  Weighted first 4.637551                37    3 99999      Sham
## 8968  Weighted first 4.672041                37    3 99999      Sham
## 8970  Weighted first 4.706531                37    3 99999      Sham
## 8972  Weighted first 4.741020                37    3 99999      Sham
## 8974  Weighted first 4.775510                37    3 99999      Sham
## 8976  Weighted first 4.810000                37    3 99999      Sham
## 8978  Weighted first 3.965833                38    3 99999      Sham
## 8980  Weighted first 3.120000                38    3 99999      Sham
## 8982  Weighted first 3.154490                38    3 99999      Sham
## 8984  Weighted first 3.188980                38    3 99999      Sham
## 8986  Weighted first 3.223469                38    3 99999      Sham
## 8988  Weighted first 3.257959                38    3 99999      Sham
## 8990  Weighted first 3.292449                38    3 99999      Sham
## 8992  Weighted first 3.326939                38    3 99999      Sham
## 8994  Weighted first 3.361429                38    3 99999      Sham
## 8996  Weighted first 3.395918                38    3 99999      Sham
## 8998  Weighted first 3.430408                38    3 99999      Sham
## 9000  Weighted first 3.464898                38    3 99999      Sham
## 9002  Weighted first 3.499388                38    3 99999      Sham
## 9004  Weighted first 3.533878                38    3 99999      Sham
## 9006  Weighted first 3.568367                38    3 99999      Sham
## 9008  Weighted first 3.602857                38    3 99999      Sham
## 9010  Weighted first 3.637347                38    3 99999      Sham
## 9012  Weighted first 3.671837                38    3 99999      Sham
## 9014  Weighted first 3.706327                38    3 99999      Sham
## 9016  Weighted first 3.740816                38    3 99999      Sham
## 9018  Weighted first 3.775306                38    3 99999      Sham
## 9020  Weighted first 3.809796                38    3 99999      Sham
## 9022  Weighted first 3.844286                38    3 99999      Sham
## 9024  Weighted first 3.878776                38    3 99999      Sham
## 9026  Weighted first 3.913265                38    3 99999      Sham
## 9028  Weighted first 3.947755                38    3 99999      Sham
## 9030  Weighted first 3.982245                38    3 99999      Sham
## 9032  Weighted first 4.016735                38    3 99999      Sham
## 9034  Weighted first 4.051224                38    3 99999      Sham
## 9036  Weighted first 4.085714                38    3 99999      Sham
## 9038  Weighted first 4.120204                38    3 99999      Sham
## 9040  Weighted first 4.154694                38    3 99999      Sham
## 9042  Weighted first 4.189184                38    3 99999      Sham
## 9044  Weighted first 4.223673                38    3 99999      Sham
## 9046  Weighted first 4.258163                38    3 99999      Sham
## 9048  Weighted first 4.292653                38    3 99999      Sham
## 9050  Weighted first 4.327143                38    3 99999      Sham
## 9052  Weighted first 4.361633                38    3 99999      Sham
## 9054  Weighted first 4.396122                38    3 99999      Sham
## 9056  Weighted first 4.430612                38    3 99999      Sham
## 9058  Weighted first 4.465102                38    3 99999      Sham
## 9060  Weighted first 4.499592                38    3 99999      Sham
## 9062  Weighted first 4.534082                38    3 99999      Sham
## 9064  Weighted first 4.568571                38    3 99999      Sham
## 9066  Weighted first 4.603061                38    3 99999      Sham
## 9068  Weighted first 4.637551                38    3 99999      Sham
## 9070  Weighted first 4.672041                38    3 99999      Sham
## 9072  Weighted first 4.706531                38    3 99999      Sham
## 9074  Weighted first 4.741020                38    3 99999      Sham
## 9076  Weighted first 4.775510                38    3 99999      Sham
## 9078  Weighted first 4.810000                38    3 99999      Sham
## 9080  Weighted first 3.965833                39    3 99999      Sham
## 9082  Weighted first 3.120000                39    3 99999      Sham
## 9084  Weighted first 3.154490                39    3 99999      Sham
## 9086  Weighted first 3.188980                39    3 99999      Sham
## 9088  Weighted first 3.223469                39    3 99999      Sham
## 9090  Weighted first 3.257959                39    3 99999      Sham
## 9092  Weighted first 3.292449                39    3 99999      Sham
## 9094  Weighted first 3.326939                39    3 99999      Sham
## 9096  Weighted first 3.361429                39    3 99999      Sham
## 9098  Weighted first 3.395918                39    3 99999      Sham
## 9100  Weighted first 3.430408                39    3 99999      Sham
## 9102  Weighted first 3.464898                39    3 99999      Sham
## 9104  Weighted first 3.499388                39    3 99999      Sham
## 9106  Weighted first 3.533878                39    3 99999      Sham
## 9108  Weighted first 3.568367                39    3 99999      Sham
## 9110  Weighted first 3.602857                39    3 99999      Sham
## 9112  Weighted first 3.637347                39    3 99999      Sham
## 9114  Weighted first 3.671837                39    3 99999      Sham
## 9116  Weighted first 3.706327                39    3 99999      Sham
## 9118  Weighted first 3.740816                39    3 99999      Sham
## 9120  Weighted first 3.775306                39    3 99999      Sham
## 9122  Weighted first 3.809796                39    3 99999      Sham
## 9124  Weighted first 3.844286                39    3 99999      Sham
## 9126  Weighted first 3.878776                39    3 99999      Sham
## 9128  Weighted first 3.913265                39    3 99999      Sham
## 9130  Weighted first 3.947755                39    3 99999      Sham
## 9132  Weighted first 3.982245                39    3 99999      Sham
## 9134  Weighted first 4.016735                39    3 99999      Sham
## 9136  Weighted first 4.051224                39    3 99999      Sham
## 9138  Weighted first 4.085714                39    3 99999      Sham
## 9140  Weighted first 4.120204                39    3 99999      Sham
## 9142  Weighted first 4.154694                39    3 99999      Sham
## 9144  Weighted first 4.189184                39    3 99999      Sham
## 9146  Weighted first 4.223673                39    3 99999      Sham
## 9148  Weighted first 4.258163                39    3 99999      Sham
## 9150  Weighted first 4.292653                39    3 99999      Sham
## 9152  Weighted first 4.327143                39    3 99999      Sham
## 9154  Weighted first 4.361633                39    3 99999      Sham
## 9156  Weighted first 4.396122                39    3 99999      Sham
## 9158  Weighted first 4.430612                39    3 99999      Sham
## 9160  Weighted first 4.465102                39    3 99999      Sham
## 9162  Weighted first 4.499592                39    3 99999      Sham
## 9164  Weighted first 4.534082                39    3 99999      Sham
## 9166  Weighted first 4.568571                39    3 99999      Sham
## 9168  Weighted first 4.603061                39    3 99999      Sham
## 9170  Weighted first 4.637551                39    3 99999      Sham
## 9172  Weighted first 4.672041                39    3 99999      Sham
## 9174  Weighted first 4.706531                39    3 99999      Sham
## 9176  Weighted first 4.741020                39    3 99999      Sham
## 9178  Weighted first 4.775510                39    3 99999      Sham
## 9180  Weighted first 4.810000                39    3 99999      Sham
## 9182  Weighted first 3.965833                40    3 99999      Sham
## 9184  Weighted first 3.120000                40    3 99999      Sham
## 9186  Weighted first 3.154490                40    3 99999      Sham
## 9188  Weighted first 3.188980                40    3 99999      Sham
## 9190  Weighted first 3.223469                40    3 99999      Sham
## 9192  Weighted first 3.257959                40    3 99999      Sham
## 9194  Weighted first 3.292449                40    3 99999      Sham
## 9196  Weighted first 3.326939                40    3 99999      Sham
## 9198  Weighted first 3.361429                40    3 99999      Sham
## 9200  Weighted first 3.395918                40    3 99999      Sham
## 9202  Weighted first 3.430408                40    3 99999      Sham
## 9204  Weighted first 3.464898                40    3 99999      Sham
## 9206  Weighted first 3.499388                40    3 99999      Sham
## 9208  Weighted first 3.533878                40    3 99999      Sham
## 9210  Weighted first 3.568367                40    3 99999      Sham
## 9212  Weighted first 3.602857                40    3 99999      Sham
## 9214  Weighted first 3.637347                40    3 99999      Sham
## 9216  Weighted first 3.671837                40    3 99999      Sham
## 9218  Weighted first 3.706327                40    3 99999      Sham
## 9220  Weighted first 3.740816                40    3 99999      Sham
## 9222  Weighted first 3.775306                40    3 99999      Sham
## 9224  Weighted first 3.809796                40    3 99999      Sham
## 9226  Weighted first 3.844286                40    3 99999      Sham
## 9228  Weighted first 3.878776                40    3 99999      Sham
## 9230  Weighted first 3.913265                40    3 99999      Sham
## 9232  Weighted first 3.947755                40    3 99999      Sham
## 9234  Weighted first 3.982245                40    3 99999      Sham
## 9236  Weighted first 4.016735                40    3 99999      Sham
## 9238  Weighted first 4.051224                40    3 99999      Sham
## 9240  Weighted first 4.085714                40    3 99999      Sham
## 9242  Weighted first 4.120204                40    3 99999      Sham
## 9244  Weighted first 4.154694                40    3 99999      Sham
## 9246  Weighted first 4.189184                40    3 99999      Sham
## 9248  Weighted first 4.223673                40    3 99999      Sham
## 9250  Weighted first 4.258163                40    3 99999      Sham
## 9252  Weighted first 4.292653                40    3 99999      Sham
## 9254  Weighted first 4.327143                40    3 99999      Sham
## 9256  Weighted first 4.361633                40    3 99999      Sham
## 9258  Weighted first 4.396122                40    3 99999      Sham
## 9260  Weighted first 4.430612                40    3 99999      Sham
## 9262  Weighted first 4.465102                40    3 99999      Sham
## 9264  Weighted first 4.499592                40    3 99999      Sham
## 9266  Weighted first 4.534082                40    3 99999      Sham
## 9268  Weighted first 4.568571                40    3 99999      Sham
## 9270  Weighted first 4.603061                40    3 99999      Sham
## 9272  Weighted first 4.637551                40    3 99999      Sham
## 9274  Weighted first 4.672041                40    3 99999      Sham
## 9276  Weighted first 4.706531                40    3 99999      Sham
## 9278  Weighted first 4.741020                40    3 99999      Sham
## 9280  Weighted first 4.775510                40    3 99999      Sham
## 9282  Weighted first 4.810000                40    3 99999      Sham
## 9284  Weighted first 3.965833                41    3 99999      Sham
## 9286  Weighted first 3.120000                41    3 99999      Sham
## 9288  Weighted first 3.154490                41    3 99999      Sham
## 9290  Weighted first 3.188980                41    3 99999      Sham
## 9292  Weighted first 3.223469                41    3 99999      Sham
## 9294  Weighted first 3.257959                41    3 99999      Sham
## 9296  Weighted first 3.292449                41    3 99999      Sham
## 9298  Weighted first 3.326939                41    3 99999      Sham
## 9300  Weighted first 3.361429                41    3 99999      Sham
## 9302  Weighted first 3.395918                41    3 99999      Sham
## 9304  Weighted first 3.430408                41    3 99999      Sham
## 9306  Weighted first 3.464898                41    3 99999      Sham
## 9308  Weighted first 3.499388                41    3 99999      Sham
## 9310  Weighted first 3.533878                41    3 99999      Sham
## 9312  Weighted first 3.568367                41    3 99999      Sham
## 9314  Weighted first 3.602857                41    3 99999      Sham
## 9316  Weighted first 3.637347                41    3 99999      Sham
## 9318  Weighted first 3.671837                41    3 99999      Sham
## 9320  Weighted first 3.706327                41    3 99999      Sham
## 9322  Weighted first 3.740816                41    3 99999      Sham
## 9324  Weighted first 3.775306                41    3 99999      Sham
## 9326  Weighted first 3.809796                41    3 99999      Sham
## 9328  Weighted first 3.844286                41    3 99999      Sham
## 9330  Weighted first 3.878776                41    3 99999      Sham
## 9332  Weighted first 3.913265                41    3 99999      Sham
## 9334  Weighted first 3.947755                41    3 99999      Sham
## 9336  Weighted first 3.982245                41    3 99999      Sham
## 9338  Weighted first 4.016735                41    3 99999      Sham
## 9340  Weighted first 4.051224                41    3 99999      Sham
## 9342  Weighted first 4.085714                41    3 99999      Sham
## 9344  Weighted first 4.120204                41    3 99999      Sham
## 9346  Weighted first 4.154694                41    3 99999      Sham
## 9348  Weighted first 4.189184                41    3 99999      Sham
## 9350  Weighted first 4.223673                41    3 99999      Sham
## 9352  Weighted first 4.258163                41    3 99999      Sham
## 9354  Weighted first 4.292653                41    3 99999      Sham
## 9356  Weighted first 4.327143                41    3 99999      Sham
## 9358  Weighted first 4.361633                41    3 99999      Sham
## 9360  Weighted first 4.396122                41    3 99999      Sham
## 9362  Weighted first 4.430612                41    3 99999      Sham
## 9364  Weighted first 4.465102                41    3 99999      Sham
## 9366  Weighted first 4.499592                41    3 99999      Sham
## 9368  Weighted first 4.534082                41    3 99999      Sham
## 9370  Weighted first 4.568571                41    3 99999      Sham
## 9372  Weighted first 4.603061                41    3 99999      Sham
## 9374  Weighted first 4.637551                41    3 99999      Sham
## 9376  Weighted first 4.672041                41    3 99999      Sham
## 9378  Weighted first 4.706531                41    3 99999      Sham
## 9380  Weighted first 4.741020                41    3 99999      Sham
## 9382  Weighted first 4.775510                41    3 99999      Sham
## 9384  Weighted first 4.810000                41    3 99999      Sham
## 9386  Weighted first 3.965833                42    3 99999      Sham
## 9388  Weighted first 3.120000                42    3 99999      Sham
## 9390  Weighted first 3.154490                42    3 99999      Sham
## 9392  Weighted first 3.188980                42    3 99999      Sham
## 9394  Weighted first 3.223469                42    3 99999      Sham
## 9396  Weighted first 3.257959                42    3 99999      Sham
## 9398  Weighted first 3.292449                42    3 99999      Sham
## 9400  Weighted first 3.326939                42    3 99999      Sham
## 9402  Weighted first 3.361429                42    3 99999      Sham
## 9404  Weighted first 3.395918                42    3 99999      Sham
## 9406  Weighted first 3.430408                42    3 99999      Sham
## 9408  Weighted first 3.464898                42    3 99999      Sham
## 9410  Weighted first 3.499388                42    3 99999      Sham
## 9412  Weighted first 3.533878                42    3 99999      Sham
## 9414  Weighted first 3.568367                42    3 99999      Sham
## 9416  Weighted first 3.602857                42    3 99999      Sham
## 9418  Weighted first 3.637347                42    3 99999      Sham
## 9420  Weighted first 3.671837                42    3 99999      Sham
## 9422  Weighted first 3.706327                42    3 99999      Sham
## 9424  Weighted first 3.740816                42    3 99999      Sham
## 9426  Weighted first 3.775306                42    3 99999      Sham
## 9428  Weighted first 3.809796                42    3 99999      Sham
## 9430  Weighted first 3.844286                42    3 99999      Sham
## 9432  Weighted first 3.878776                42    3 99999      Sham
## 9434  Weighted first 3.913265                42    3 99999      Sham
## 9436  Weighted first 3.947755                42    3 99999      Sham
## 9438  Weighted first 3.982245                42    3 99999      Sham
## 9440  Weighted first 4.016735                42    3 99999      Sham
## 9442  Weighted first 4.051224                42    3 99999      Sham
## 9444  Weighted first 4.085714                42    3 99999      Sham
## 9446  Weighted first 4.120204                42    3 99999      Sham
## 9448  Weighted first 4.154694                42    3 99999      Sham
## 9450  Weighted first 4.189184                42    3 99999      Sham
## 9452  Weighted first 4.223673                42    3 99999      Sham
## 9454  Weighted first 4.258163                42    3 99999      Sham
## 9456  Weighted first 4.292653                42    3 99999      Sham
## 9458  Weighted first 4.327143                42    3 99999      Sham
## 9460  Weighted first 4.361633                42    3 99999      Sham
## 9462  Weighted first 4.396122                42    3 99999      Sham
## 9464  Weighted first 4.430612                42    3 99999      Sham
## 9466  Weighted first 4.465102                42    3 99999      Sham
## 9468  Weighted first 4.499592                42    3 99999      Sham
## 9470  Weighted first 4.534082                42    3 99999      Sham
## 9472  Weighted first 4.568571                42    3 99999      Sham
## 9474  Weighted first 4.603061                42    3 99999      Sham
## 9476  Weighted first 4.637551                42    3 99999      Sham
## 9478  Weighted first 4.672041                42    3 99999      Sham
## 9480  Weighted first 4.706531                42    3 99999      Sham
## 9482  Weighted first 4.741020                42    3 99999      Sham
## 9484  Weighted first 4.775510                42    3 99999      Sham
## 9486  Weighted first 4.810000                42    3 99999      Sham
## 9488  Weighted first 3.965833                43    3 99999      Sham
## 9490  Weighted first 3.120000                43    3 99999      Sham
## 9492  Weighted first 3.154490                43    3 99999      Sham
## 9494  Weighted first 3.188980                43    3 99999      Sham
## 9496  Weighted first 3.223469                43    3 99999      Sham
## 9498  Weighted first 3.257959                43    3 99999      Sham
## 9500  Weighted first 3.292449                43    3 99999      Sham
## 9502  Weighted first 3.326939                43    3 99999      Sham
## 9504  Weighted first 3.361429                43    3 99999      Sham
## 9506  Weighted first 3.395918                43    3 99999      Sham
## 9508  Weighted first 3.430408                43    3 99999      Sham
## 9510  Weighted first 3.464898                43    3 99999      Sham
## 9512  Weighted first 3.499388                43    3 99999      Sham
## 9514  Weighted first 3.533878                43    3 99999      Sham
## 9516  Weighted first 3.568367                43    3 99999      Sham
## 9518  Weighted first 3.602857                43    3 99999      Sham
## 9520  Weighted first 3.637347                43    3 99999      Sham
## 9522  Weighted first 3.671837                43    3 99999      Sham
## 9524  Weighted first 3.706327                43    3 99999      Sham
## 9526  Weighted first 3.740816                43    3 99999      Sham
## 9528  Weighted first 3.775306                43    3 99999      Sham
## 9530  Weighted first 3.809796                43    3 99999      Sham
## 9532  Weighted first 3.844286                43    3 99999      Sham
## 9534  Weighted first 3.878776                43    3 99999      Sham
## 9536  Weighted first 3.913265                43    3 99999      Sham
## 9538  Weighted first 3.947755                43    3 99999      Sham
## 9540  Weighted first 3.982245                43    3 99999      Sham
## 9542  Weighted first 4.016735                43    3 99999      Sham
## 9544  Weighted first 4.051224                43    3 99999      Sham
## 9546  Weighted first 4.085714                43    3 99999      Sham
## 9548  Weighted first 4.120204                43    3 99999      Sham
## 9550  Weighted first 4.154694                43    3 99999      Sham
## 9552  Weighted first 4.189184                43    3 99999      Sham
## 9554  Weighted first 4.223673                43    3 99999      Sham
## 9556  Weighted first 4.258163                43    3 99999      Sham
## 9558  Weighted first 4.292653                43    3 99999      Sham
## 9560  Weighted first 4.327143                43    3 99999      Sham
## 9562  Weighted first 4.361633                43    3 99999      Sham
## 9564  Weighted first 4.396122                43    3 99999      Sham
## 9566  Weighted first 4.430612                43    3 99999      Sham
## 9568  Weighted first 4.465102                43    3 99999      Sham
## 9570  Weighted first 4.499592                43    3 99999      Sham
## 9572  Weighted first 4.534082                43    3 99999      Sham
## 9574  Weighted first 4.568571                43    3 99999      Sham
## 9576  Weighted first 4.603061                43    3 99999      Sham
## 9578  Weighted first 4.637551                43    3 99999      Sham
## 9580  Weighted first 4.672041                43    3 99999      Sham
## 9582  Weighted first 4.706531                43    3 99999      Sham
## 9584  Weighted first 4.741020                43    3 99999      Sham
## 9586  Weighted first 4.775510                43    3 99999      Sham
## 9588  Weighted first 4.810000                43    3 99999      Sham
## 9590  Weighted first 3.965833                44    3 99999      Sham
## 9592  Weighted first 3.120000                44    3 99999      Sham
## 9594  Weighted first 3.154490                44    3 99999      Sham
## 9596  Weighted first 3.188980                44    3 99999      Sham
## 9598  Weighted first 3.223469                44    3 99999      Sham
## 9600  Weighted first 3.257959                44    3 99999      Sham
## 9602  Weighted first 3.292449                44    3 99999      Sham
## 9604  Weighted first 3.326939                44    3 99999      Sham
## 9606  Weighted first 3.361429                44    3 99999      Sham
## 9608  Weighted first 3.395918                44    3 99999      Sham
## 9610  Weighted first 3.430408                44    3 99999      Sham
## 9612  Weighted first 3.464898                44    3 99999      Sham
## 9614  Weighted first 3.499388                44    3 99999      Sham
## 9616  Weighted first 3.533878                44    3 99999      Sham
## 9618  Weighted first 3.568367                44    3 99999      Sham
## 9620  Weighted first 3.602857                44    3 99999      Sham
## 9622  Weighted first 3.637347                44    3 99999      Sham
## 9624  Weighted first 3.671837                44    3 99999      Sham
## 9626  Weighted first 3.706327                44    3 99999      Sham
## 9628  Weighted first 3.740816                44    3 99999      Sham
## 9630  Weighted first 3.775306                44    3 99999      Sham
## 9632  Weighted first 3.809796                44    3 99999      Sham
## 9634  Weighted first 3.844286                44    3 99999      Sham
## 9636  Weighted first 3.878776                44    3 99999      Sham
## 9638  Weighted first 3.913265                44    3 99999      Sham
## 9640  Weighted first 3.947755                44    3 99999      Sham
## 9642  Weighted first 3.982245                44    3 99999      Sham
## 9644  Weighted first 4.016735                44    3 99999      Sham
## 9646  Weighted first 4.051224                44    3 99999      Sham
## 9648  Weighted first 4.085714                44    3 99999      Sham
## 9650  Weighted first 4.120204                44    3 99999      Sham
## 9652  Weighted first 4.154694                44    3 99999      Sham
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## 10008 Weighted first 3.257959                48    3 99999      Sham
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## 10012 Weighted first 3.326939                48    3 99999      Sham
## 10014 Weighted first 3.361429                48    3 99999      Sham
## 10016 Weighted first 3.395918                48    3 99999      Sham
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## 10020 Weighted first 3.464898                48    3 99999      Sham
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## 10024 Weighted first 3.533878                48    3 99999      Sham
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## 10028 Weighted first 3.602857                48    3 99999      Sham
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## 10032 Weighted first 3.671837                48    3 99999      Sham
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## 10042 Weighted first 3.844286                48    3 99999      Sham
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## 10048 Weighted first 3.947755                48    3 99999      Sham
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## 10064 Weighted first 4.223673                48    3 99999      Sham
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## 10068 Weighted first 4.292653                48    3 99999      Sham
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## 10074 Weighted first 4.396122                48    3 99999      Sham
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## 10088 Weighted first 4.637551                48    3 99999      Sham
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## 10096 Weighted first 4.775510                48    3 99999      Sham
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## 10126 Weighted first 3.533878                49    3 99999      Sham
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## 10142 Weighted first 3.809796                49    3 99999      Sham
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## 10150 Weighted first 3.947755                49    3 99999      Sham
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## 10166 Weighted first 4.223673                49    3 99999      Sham
## 10168 Weighted first 4.258163                49    3 99999      Sham
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## 10174 Weighted first 4.361633                49    3 99999      Sham
## 10176 Weighted first 4.396122                49    3 99999      Sham
## 10178 Weighted first 4.430612                49    3 99999      Sham
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## 10182 Weighted first 4.499592                49    3 99999      Sham
## 10184 Weighted first 4.534082                49    3 99999      Sham
## 10186 Weighted first 4.568571                49    3 99999      Sham
## 10188 Weighted first 4.603061                49    3 99999      Sham
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## 10194 Weighted first 4.706531                49    3 99999      Sham
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## 10198 Weighted first 4.775510                49    3 99999      Sham
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## 10212 Weighted first 3.257959                50    3 99999      Sham
## 10214 Weighted first 3.292449                50    3 99999      Sham
## 10216 Weighted first 3.326939                50    3 99999      Sham
## 10218 Weighted first 3.361429                50    3 99999      Sham
## 10220 Weighted first 3.395918                50    3 99999      Sham
## 10222 Weighted first 3.430408                50    3 99999      Sham
## 10224 Weighted first 3.464898                50    3 99999      Sham
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## 10228 Weighted first 3.533878                50    3 99999      Sham
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## 10232 Weighted first 3.602857                50    3 99999      Sham
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## 10238 Weighted first 3.706327                50    3 99999      Sham
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## 10246 Weighted first 3.844286                50    3 99999      Sham
## 10248 Weighted first 3.878776                50    3 99999      Sham
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## 10252 Weighted first 3.947755                50    3 99999      Sham
## 10254 Weighted first 3.982245                50    3 99999      Sham
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## 10258 Weighted first 4.051224                50    3 99999      Sham
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## 10264 Weighted first 4.154694                50    3 99999      Sham
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## 10278 Weighted first 4.396122                50    3 99999      Sham
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## 10284 Weighted first 4.499592                50    3 99999      Sham
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## 10296 Weighted first 4.706531                50    3 99999      Sham
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## 10300 Weighted first 4.775510                50    3 99999      Sham
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## 10304 Weighted first 3.965833               -50    3 99999  Weighted
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## 15525     Sham first 3.430408                 1    3 99999  Weighted
## 15527     Sham first 3.464898                 1    3 99999  Weighted
## 15529     Sham first 3.499388                 1    3 99999  Weighted
## 15531     Sham first 3.533878                 1    3 99999  Weighted
## 15533     Sham first 3.568367                 1    3 99999  Weighted
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## 15593     Sham first 4.603061                 1    3 99999  Weighted
## 15595     Sham first 4.637551                 1    3 99999  Weighted
## 15597     Sham first 4.672041                 1    3 99999  Weighted
## 15599     Sham first 4.706531                 1    3 99999  Weighted
## 15601     Sham first 4.741020                 1    3 99999  Weighted
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## 15607     Sham first 3.965833                 2    3 99999  Weighted
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## 15617     Sham first 3.257959                 2    3 99999  Weighted
## 15619     Sham first 3.292449                 2    3 99999  Weighted
## 15621     Sham first 3.326939                 2    3 99999  Weighted
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## 15627     Sham first 3.430408                 2    3 99999  Weighted
## 15629     Sham first 3.464898                 2    3 99999  Weighted
## 15631     Sham first 3.499388                 2    3 99999  Weighted
## 15633     Sham first 3.533878                 2    3 99999  Weighted
## 15635     Sham first 3.568367                 2    3 99999  Weighted
## 15637     Sham first 3.602857                 2    3 99999  Weighted
## 15639     Sham first 3.637347                 2    3 99999  Weighted
## 15641     Sham first 3.671837                 2    3 99999  Weighted
## 15643     Sham first 3.706327                 2    3 99999  Weighted
## 15645     Sham first 3.740816                 2    3 99999  Weighted
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## 15649     Sham first 3.809796                 2    3 99999  Weighted
## 15651     Sham first 3.844286                 2    3 99999  Weighted
## 15653     Sham first 3.878776                 2    3 99999  Weighted
## 15655     Sham first 3.913265                 2    3 99999  Weighted
## 15657     Sham first 3.947755                 2    3 99999  Weighted
## 15659     Sham first 3.982245                 2    3 99999  Weighted
## 15661     Sham first 4.016735                 2    3 99999  Weighted
## 15663     Sham first 4.051224                 2    3 99999  Weighted
## 15665     Sham first 4.085714                 2    3 99999  Weighted
## 15667     Sham first 4.120204                 2    3 99999  Weighted
## 15669     Sham first 4.154694                 2    3 99999  Weighted
## 15671     Sham first 4.189184                 2    3 99999  Weighted
## 15673     Sham first 4.223673                 2    3 99999  Weighted
## 15675     Sham first 4.258163                 2    3 99999  Weighted
## 15677     Sham first 4.292653                 2    3 99999  Weighted
## 15679     Sham first 4.327143                 2    3 99999  Weighted
## 15681     Sham first 4.361633                 2    3 99999  Weighted
## 15683     Sham first 4.396122                 2    3 99999  Weighted
## 15685     Sham first 4.430612                 2    3 99999  Weighted
## 15687     Sham first 4.465102                 2    3 99999  Weighted
## 15689     Sham first 4.499592                 2    3 99999  Weighted
## 15691     Sham first 4.534082                 2    3 99999  Weighted
## 15693     Sham first 4.568571                 2    3 99999  Weighted
## 15695     Sham first 4.603061                 2    3 99999  Weighted
## 15697     Sham first 4.637551                 2    3 99999  Weighted
## 15699     Sham first 4.672041                 2    3 99999  Weighted
## 15701     Sham first 4.706531                 2    3 99999  Weighted
## 15703     Sham first 4.741020                 2    3 99999  Weighted
## 15705     Sham first 4.775510                 2    3 99999  Weighted
## 15707     Sham first 4.810000                 2    3 99999  Weighted
## 15709     Sham first 3.965833                 3    3 99999  Weighted
## 15711     Sham first 3.120000                 3    3 99999  Weighted
## 15713     Sham first 3.154490                 3    3 99999  Weighted
## 15715     Sham first 3.188980                 3    3 99999  Weighted
## 15717     Sham first 3.223469                 3    3 99999  Weighted
## 15719     Sham first 3.257959                 3    3 99999  Weighted
## 15721     Sham first 3.292449                 3    3 99999  Weighted
## 15723     Sham first 3.326939                 3    3 99999  Weighted
## 15725     Sham first 3.361429                 3    3 99999  Weighted
## 15727     Sham first 3.395918                 3    3 99999  Weighted
## 15729     Sham first 3.430408                 3    3 99999  Weighted
## 15731     Sham first 3.464898                 3    3 99999  Weighted
## 15733     Sham first 3.499388                 3    3 99999  Weighted
## 15735     Sham first 3.533878                 3    3 99999  Weighted
## 15737     Sham first 3.568367                 3    3 99999  Weighted
## 15739     Sham first 3.602857                 3    3 99999  Weighted
## 15741     Sham first 3.637347                 3    3 99999  Weighted
## 15743     Sham first 3.671837                 3    3 99999  Weighted
## 15745     Sham first 3.706327                 3    3 99999  Weighted
## 15747     Sham first 3.740816                 3    3 99999  Weighted
## 15749     Sham first 3.775306                 3    3 99999  Weighted
## 15751     Sham first 3.809796                 3    3 99999  Weighted
## 15753     Sham first 3.844286                 3    3 99999  Weighted
## 15755     Sham first 3.878776                 3    3 99999  Weighted
## 15757     Sham first 3.913265                 3    3 99999  Weighted
## 15759     Sham first 3.947755                 3    3 99999  Weighted
## 15761     Sham first 3.982245                 3    3 99999  Weighted
## 15763     Sham first 4.016735                 3    3 99999  Weighted
## 15765     Sham first 4.051224                 3    3 99999  Weighted
## 15767     Sham first 4.085714                 3    3 99999  Weighted
## 15769     Sham first 4.120204                 3    3 99999  Weighted
## 15771     Sham first 4.154694                 3    3 99999  Weighted
## 15773     Sham first 4.189184                 3    3 99999  Weighted
## 15775     Sham first 4.223673                 3    3 99999  Weighted
## 15777     Sham first 4.258163                 3    3 99999  Weighted
## 15779     Sham first 4.292653                 3    3 99999  Weighted
## 15781     Sham first 4.327143                 3    3 99999  Weighted
## 15783     Sham first 4.361633                 3    3 99999  Weighted
## 15785     Sham first 4.396122                 3    3 99999  Weighted
## 15787     Sham first 4.430612                 3    3 99999  Weighted
## 15789     Sham first 4.465102                 3    3 99999  Weighted
## 15791     Sham first 4.499592                 3    3 99999  Weighted
## 15793     Sham first 4.534082                 3    3 99999  Weighted
## 15795     Sham first 4.568571                 3    3 99999  Weighted
## 15797     Sham first 4.603061                 3    3 99999  Weighted
## 15799     Sham first 4.637551                 3    3 99999  Weighted
## 15801     Sham first 4.672041                 3    3 99999  Weighted
## 15803     Sham first 4.706531                 3    3 99999  Weighted
## 15805     Sham first 4.741020                 3    3 99999  Weighted
## 15807     Sham first 4.775510                 3    3 99999  Weighted
## 15809     Sham first 4.810000                 3    3 99999  Weighted
## 15811     Sham first 3.965833                 4    3 99999  Weighted
## 15813     Sham first 3.120000                 4    3 99999  Weighted
## 15815     Sham first 3.154490                 4    3 99999  Weighted
## 15817     Sham first 3.188980                 4    3 99999  Weighted
## 15819     Sham first 3.223469                 4    3 99999  Weighted
## 15821     Sham first 3.257959                 4    3 99999  Weighted
## 15823     Sham first 3.292449                 4    3 99999  Weighted
## 15825     Sham first 3.326939                 4    3 99999  Weighted
## 15827     Sham first 3.361429                 4    3 99999  Weighted
## 15829     Sham first 3.395918                 4    3 99999  Weighted
## 15831     Sham first 3.430408                 4    3 99999  Weighted
## 15833     Sham first 3.464898                 4    3 99999  Weighted
## 15835     Sham first 3.499388                 4    3 99999  Weighted
## 15837     Sham first 3.533878                 4    3 99999  Weighted
## 15839     Sham first 3.568367                 4    3 99999  Weighted
## 15841     Sham first 3.602857                 4    3 99999  Weighted
## 15843     Sham first 3.637347                 4    3 99999  Weighted
## 15845     Sham first 3.671837                 4    3 99999  Weighted
## 15847     Sham first 3.706327                 4    3 99999  Weighted
## 15849     Sham first 3.740816                 4    3 99999  Weighted
## 15851     Sham first 3.775306                 4    3 99999  Weighted
## 15853     Sham first 3.809796                 4    3 99999  Weighted
## 15855     Sham first 3.844286                 4    3 99999  Weighted
## 15857     Sham first 3.878776                 4    3 99999  Weighted
## 15859     Sham first 3.913265                 4    3 99999  Weighted
## 15861     Sham first 3.947755                 4    3 99999  Weighted
## 15863     Sham first 3.982245                 4    3 99999  Weighted
## 15865     Sham first 4.016735                 4    3 99999  Weighted
## 15867     Sham first 4.051224                 4    3 99999  Weighted
## 15869     Sham first 4.085714                 4    3 99999  Weighted
## 15871     Sham first 4.120204                 4    3 99999  Weighted
## 15873     Sham first 4.154694                 4    3 99999  Weighted
## 15875     Sham first 4.189184                 4    3 99999  Weighted
## 15877     Sham first 4.223673                 4    3 99999  Weighted
## 15879     Sham first 4.258163                 4    3 99999  Weighted
## 15881     Sham first 4.292653                 4    3 99999  Weighted
## 15883     Sham first 4.327143                 4    3 99999  Weighted
## 15885     Sham first 4.361633                 4    3 99999  Weighted
## 15887     Sham first 4.396122                 4    3 99999  Weighted
## 15889     Sham first 4.430612                 4    3 99999  Weighted
## 15891     Sham first 4.465102                 4    3 99999  Weighted
## 15893     Sham first 4.499592                 4    3 99999  Weighted
## 15895     Sham first 4.534082                 4    3 99999  Weighted
## 15897     Sham first 4.568571                 4    3 99999  Weighted
## 15899     Sham first 4.603061                 4    3 99999  Weighted
## 15901     Sham first 4.637551                 4    3 99999  Weighted
## 15903     Sham first 4.672041                 4    3 99999  Weighted
## 15905     Sham first 4.706531                 4    3 99999  Weighted
## 15907     Sham first 4.741020                 4    3 99999  Weighted
## 15909     Sham first 4.775510                 4    3 99999  Weighted
## 15911     Sham first 4.810000                 4    3 99999  Weighted
## 15913     Sham first 3.965833                 5    3 99999  Weighted
## 15915     Sham first 3.120000                 5    3 99999  Weighted
## 15917     Sham first 3.154490                 5    3 99999  Weighted
## 15919     Sham first 3.188980                 5    3 99999  Weighted
## 15921     Sham first 3.223469                 5    3 99999  Weighted
## 15923     Sham first 3.257959                 5    3 99999  Weighted
## 15925     Sham first 3.292449                 5    3 99999  Weighted
## 15927     Sham first 3.326939                 5    3 99999  Weighted
## 15929     Sham first 3.361429                 5    3 99999  Weighted
## 15931     Sham first 3.395918                 5    3 99999  Weighted
## 15933     Sham first 3.430408                 5    3 99999  Weighted
## 15935     Sham first 3.464898                 5    3 99999  Weighted
## 15937     Sham first 3.499388                 5    3 99999  Weighted
## 15939     Sham first 3.533878                 5    3 99999  Weighted
## 15941     Sham first 3.568367                 5    3 99999  Weighted
## 15943     Sham first 3.602857                 5    3 99999  Weighted
## 15945     Sham first 3.637347                 5    3 99999  Weighted
## 15947     Sham first 3.671837                 5    3 99999  Weighted
## 15949     Sham first 3.706327                 5    3 99999  Weighted
## 15951     Sham first 3.740816                 5    3 99999  Weighted
## 15953     Sham first 3.775306                 5    3 99999  Weighted
## 15955     Sham first 3.809796                 5    3 99999  Weighted
## 15957     Sham first 3.844286                 5    3 99999  Weighted
## 15959     Sham first 3.878776                 5    3 99999  Weighted
## 15961     Sham first 3.913265                 5    3 99999  Weighted
## 15963     Sham first 3.947755                 5    3 99999  Weighted
## 15965     Sham first 3.982245                 5    3 99999  Weighted
## 15967     Sham first 4.016735                 5    3 99999  Weighted
## 15969     Sham first 4.051224                 5    3 99999  Weighted
## 15971     Sham first 4.085714                 5    3 99999  Weighted
## 15973     Sham first 4.120204                 5    3 99999  Weighted
## 15975     Sham first 4.154694                 5    3 99999  Weighted
## 15977     Sham first 4.189184                 5    3 99999  Weighted
## 15979     Sham first 4.223673                 5    3 99999  Weighted
## 15981     Sham first 4.258163                 5    3 99999  Weighted
## 15983     Sham first 4.292653                 5    3 99999  Weighted
## 15985     Sham first 4.327143                 5    3 99999  Weighted
## 15987     Sham first 4.361633                 5    3 99999  Weighted
## 15989     Sham first 4.396122                 5    3 99999  Weighted
## 15991     Sham first 4.430612                 5    3 99999  Weighted
## 15993     Sham first 4.465102                 5    3 99999  Weighted
## 15995     Sham first 4.499592                 5    3 99999  Weighted
## 15997     Sham first 4.534082                 5    3 99999  Weighted
## 15999     Sham first 4.568571                 5    3 99999  Weighted
## 16001     Sham first 4.603061                 5    3 99999  Weighted
## 16003     Sham first 4.637551                 5    3 99999  Weighted
## 16005     Sham first 4.672041                 5    3 99999  Weighted
## 16007     Sham first 4.706531                 5    3 99999  Weighted
## 16009     Sham first 4.741020                 5    3 99999  Weighted
## 16011     Sham first 4.775510                 5    3 99999  Weighted
## 16013     Sham first 4.810000                 5    3 99999  Weighted
## 16015     Sham first 3.965833                 6    3 99999  Weighted
## 16017     Sham first 3.120000                 6    3 99999  Weighted
## 16019     Sham first 3.154490                 6    3 99999  Weighted
## 16021     Sham first 3.188980                 6    3 99999  Weighted
## 16023     Sham first 3.223469                 6    3 99999  Weighted
## 16025     Sham first 3.257959                 6    3 99999  Weighted
## 16027     Sham first 3.292449                 6    3 99999  Weighted
## 16029     Sham first 3.326939                 6    3 99999  Weighted
## 16031     Sham first 3.361429                 6    3 99999  Weighted
## 16033     Sham first 3.395918                 6    3 99999  Weighted
## 16035     Sham first 3.430408                 6    3 99999  Weighted
## 16037     Sham first 3.464898                 6    3 99999  Weighted
## 16039     Sham first 3.499388                 6    3 99999  Weighted
## 16041     Sham first 3.533878                 6    3 99999  Weighted
## 16043     Sham first 3.568367                 6    3 99999  Weighted
## 16045     Sham first 3.602857                 6    3 99999  Weighted
## 16047     Sham first 3.637347                 6    3 99999  Weighted
## 16049     Sham first 3.671837                 6    3 99999  Weighted
## 16051     Sham first 3.706327                 6    3 99999  Weighted
## 16053     Sham first 3.740816                 6    3 99999  Weighted
## 16055     Sham first 3.775306                 6    3 99999  Weighted
## 16057     Sham first 3.809796                 6    3 99999  Weighted
## 16059     Sham first 3.844286                 6    3 99999  Weighted
## 16061     Sham first 3.878776                 6    3 99999  Weighted
## 16063     Sham first 3.913265                 6    3 99999  Weighted
## 16065     Sham first 3.947755                 6    3 99999  Weighted
## 16067     Sham first 3.982245                 6    3 99999  Weighted
## 16069     Sham first 4.016735                 6    3 99999  Weighted
## 16071     Sham first 4.051224                 6    3 99999  Weighted
## 16073     Sham first 4.085714                 6    3 99999  Weighted
## 16075     Sham first 4.120204                 6    3 99999  Weighted
## 16077     Sham first 4.154694                 6    3 99999  Weighted
## 16079     Sham first 4.189184                 6    3 99999  Weighted
## 16081     Sham first 4.223673                 6    3 99999  Weighted
## 16083     Sham first 4.258163                 6    3 99999  Weighted
## 16085     Sham first 4.292653                 6    3 99999  Weighted
## 16087     Sham first 4.327143                 6    3 99999  Weighted
## 16089     Sham first 4.361633                 6    3 99999  Weighted
## 16091     Sham first 4.396122                 6    3 99999  Weighted
## 16093     Sham first 4.430612                 6    3 99999  Weighted
## 16095     Sham first 4.465102                 6    3 99999  Weighted
## 16097     Sham first 4.499592                 6    3 99999  Weighted
## 16099     Sham first 4.534082                 6    3 99999  Weighted
## 16101     Sham first 4.568571                 6    3 99999  Weighted
## 16103     Sham first 4.603061                 6    3 99999  Weighted
## 16105     Sham first 4.637551                 6    3 99999  Weighted
## 16107     Sham first 4.672041                 6    3 99999  Weighted
## 16109     Sham first 4.706531                 6    3 99999  Weighted
## 16111     Sham first 4.741020                 6    3 99999  Weighted
## 16113     Sham first 4.775510                 6    3 99999  Weighted
## 16115     Sham first 4.810000                 6    3 99999  Weighted
## 16117     Sham first 3.965833                 7    3 99999  Weighted
## 16119     Sham first 3.120000                 7    3 99999  Weighted
## 16121     Sham first 3.154490                 7    3 99999  Weighted
## 16123     Sham first 3.188980                 7    3 99999  Weighted
## 16125     Sham first 3.223469                 7    3 99999  Weighted
## 16127     Sham first 3.257959                 7    3 99999  Weighted
## 16129     Sham first 3.292449                 7    3 99999  Weighted
## 16131     Sham first 3.326939                 7    3 99999  Weighted
## 16133     Sham first 3.361429                 7    3 99999  Weighted
## 16135     Sham first 3.395918                 7    3 99999  Weighted
## 16137     Sham first 3.430408                 7    3 99999  Weighted
## 16139     Sham first 3.464898                 7    3 99999  Weighted
## 16141     Sham first 3.499388                 7    3 99999  Weighted
## 16143     Sham first 3.533878                 7    3 99999  Weighted
## 16145     Sham first 3.568367                 7    3 99999  Weighted
## 16147     Sham first 3.602857                 7    3 99999  Weighted
## 16149     Sham first 3.637347                 7    3 99999  Weighted
## 16151     Sham first 3.671837                 7    3 99999  Weighted
## 16153     Sham first 3.706327                 7    3 99999  Weighted
## 16155     Sham first 3.740816                 7    3 99999  Weighted
## 16157     Sham first 3.775306                 7    3 99999  Weighted
## 16159     Sham first 3.809796                 7    3 99999  Weighted
## 16161     Sham first 3.844286                 7    3 99999  Weighted
## 16163     Sham first 3.878776                 7    3 99999  Weighted
## 16165     Sham first 3.913265                 7    3 99999  Weighted
## 16167     Sham first 3.947755                 7    3 99999  Weighted
## 16169     Sham first 3.982245                 7    3 99999  Weighted
## 16171     Sham first 4.016735                 7    3 99999  Weighted
## 16173     Sham first 4.051224                 7    3 99999  Weighted
## 16175     Sham first 4.085714                 7    3 99999  Weighted
## 16177     Sham first 4.120204                 7    3 99999  Weighted
## 16179     Sham first 4.154694                 7    3 99999  Weighted
## 16181     Sham first 4.189184                 7    3 99999  Weighted
## 16183     Sham first 4.223673                 7    3 99999  Weighted
## 16185     Sham first 4.258163                 7    3 99999  Weighted
## 16187     Sham first 4.292653                 7    3 99999  Weighted
## 16189     Sham first 4.327143                 7    3 99999  Weighted
## 16191     Sham first 4.361633                 7    3 99999  Weighted
## 16193     Sham first 4.396122                 7    3 99999  Weighted
## 16195     Sham first 4.430612                 7    3 99999  Weighted
## 16197     Sham first 4.465102                 7    3 99999  Weighted
## 16199     Sham first 4.499592                 7    3 99999  Weighted
## 16201     Sham first 4.534082                 7    3 99999  Weighted
## 16203     Sham first 4.568571                 7    3 99999  Weighted
## 16205     Sham first 4.603061                 7    3 99999  Weighted
## 16207     Sham first 4.637551                 7    3 99999  Weighted
## 16209     Sham first 4.672041                 7    3 99999  Weighted
## 16211     Sham first 4.706531                 7    3 99999  Weighted
## 16213     Sham first 4.741020                 7    3 99999  Weighted
## 16215     Sham first 4.775510                 7    3 99999  Weighted
## 16217     Sham first 4.810000                 7    3 99999  Weighted
## 16219     Sham first 3.965833                 8    3 99999  Weighted
## 16221     Sham first 3.120000                 8    3 99999  Weighted
## 16223     Sham first 3.154490                 8    3 99999  Weighted
## 16225     Sham first 3.188980                 8    3 99999  Weighted
## 16227     Sham first 3.223469                 8    3 99999  Weighted
## 16229     Sham first 3.257959                 8    3 99999  Weighted
## 16231     Sham first 3.292449                 8    3 99999  Weighted
## 16233     Sham first 3.326939                 8    3 99999  Weighted
## 16235     Sham first 3.361429                 8    3 99999  Weighted
## 16237     Sham first 3.395918                 8    3 99999  Weighted
## 16239     Sham first 3.430408                 8    3 99999  Weighted
## 16241     Sham first 3.464898                 8    3 99999  Weighted
## 16243     Sham first 3.499388                 8    3 99999  Weighted
## 16245     Sham first 3.533878                 8    3 99999  Weighted
## 16247     Sham first 3.568367                 8    3 99999  Weighted
## 16249     Sham first 3.602857                 8    3 99999  Weighted
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## 16413     Sham first 4.672041                 9    3 99999  Weighted
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## 16417     Sham first 4.741020                 9    3 99999  Weighted
## 16419     Sham first 4.775510                 9    3 99999  Weighted
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## 16427     Sham first 3.154490                10    3 99999  Weighted
## 16429     Sham first 3.188980                10    3 99999  Weighted
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## 16443     Sham first 3.430408                10    3 99999  Weighted
## 16445     Sham first 3.464898                10    3 99999  Weighted
## 16447     Sham first 3.499388                10    3 99999  Weighted
## 16449     Sham first 3.533878                10    3 99999  Weighted
## 16451     Sham first 3.568367                10    3 99999  Weighted
## 16453     Sham first 3.602857                10    3 99999  Weighted
## 16455     Sham first 3.637347                10    3 99999  Weighted
## 16457     Sham first 3.671837                10    3 99999  Weighted
## 16459     Sham first 3.706327                10    3 99999  Weighted
## 16461     Sham first 3.740816                10    3 99999  Weighted
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## 16465     Sham first 3.809796                10    3 99999  Weighted
## 16467     Sham first 3.844286                10    3 99999  Weighted
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## 16471     Sham first 3.913265                10    3 99999  Weighted
## 16473     Sham first 3.947755                10    3 99999  Weighted
## 16475     Sham first 3.982245                10    3 99999  Weighted
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## 16479     Sham first 4.051224                10    3 99999  Weighted
## 16481     Sham first 4.085714                10    3 99999  Weighted
## 16483     Sham first 4.120204                10    3 99999  Weighted
## 16485     Sham first 4.154694                10    3 99999  Weighted
## 16487     Sham first 4.189184                10    3 99999  Weighted
## 16489     Sham first 4.223673                10    3 99999  Weighted
## 16491     Sham first 4.258163                10    3 99999  Weighted
## 16493     Sham first 4.292653                10    3 99999  Weighted
## 16495     Sham first 4.327143                10    3 99999  Weighted
## 16497     Sham first 4.361633                10    3 99999  Weighted
## 16499     Sham first 4.396122                10    3 99999  Weighted
## 16501     Sham first 4.430612                10    3 99999  Weighted
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## 16505     Sham first 4.499592                10    3 99999  Weighted
## 16507     Sham first 4.534082                10    3 99999  Weighted
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## 16511     Sham first 4.603061                10    3 99999  Weighted
## 16513     Sham first 4.637551                10    3 99999  Weighted
## 16515     Sham first 4.672041                10    3 99999  Weighted
## 16517     Sham first 4.706531                10    3 99999  Weighted
## 16519     Sham first 4.741020                10    3 99999  Weighted
## 16521     Sham first 4.775510                10    3 99999  Weighted
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## 16525     Sham first 3.965833                11    3 99999  Weighted
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## 16529     Sham first 3.154490                11    3 99999  Weighted
## 16531     Sham first 3.188980                11    3 99999  Weighted
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## 16537     Sham first 3.292449                11    3 99999  Weighted
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## 16541     Sham first 3.361429                11    3 99999  Weighted
## 16543     Sham first 3.395918                11    3 99999  Weighted
## 16545     Sham first 3.430408                11    3 99999  Weighted
## 16547     Sham first 3.464898                11    3 99999  Weighted
## 16549     Sham first 3.499388                11    3 99999  Weighted
## 16551     Sham first 3.533878                11    3 99999  Weighted
## 16553     Sham first 3.568367                11    3 99999  Weighted
## 16555     Sham first 3.602857                11    3 99999  Weighted
## 16557     Sham first 3.637347                11    3 99999  Weighted
## 16559     Sham first 3.671837                11    3 99999  Weighted
## 16561     Sham first 3.706327                11    3 99999  Weighted
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## 16567     Sham first 3.809796                11    3 99999  Weighted
## 16569     Sham first 3.844286                11    3 99999  Weighted
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## 16573     Sham first 3.913265                11    3 99999  Weighted
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## 16589     Sham first 4.189184                11    3 99999  Weighted
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## 16611     Sham first 4.568571                11    3 99999  Weighted
## 16613     Sham first 4.603061                11    3 99999  Weighted
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## 16617     Sham first 4.672041                11    3 99999  Weighted
## 16619     Sham first 4.706531                11    3 99999  Weighted
## 16621     Sham first 4.741020                11    3 99999  Weighted
## 16623     Sham first 4.775510                11    3 99999  Weighted
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## 16627     Sham first 3.965833                12    3 99999  Weighted
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## 16633     Sham first 3.188980                12    3 99999  Weighted
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## 16637     Sham first 3.257959                12    3 99999  Weighted
## 16639     Sham first 3.292449                12    3 99999  Weighted
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## 16651     Sham first 3.499388                12    3 99999  Weighted
## 16653     Sham first 3.533878                12    3 99999  Weighted
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## 16659     Sham first 3.637347                12    3 99999  Weighted
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## 16663     Sham first 3.706327                12    3 99999  Weighted
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## 16669     Sham first 3.809796                12    3 99999  Weighted
## 16671     Sham first 3.844286                12    3 99999  Weighted
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## 16675     Sham first 3.913265                12    3 99999  Weighted
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## 16701     Sham first 4.361633                12    3 99999  Weighted
## 16703     Sham first 4.396122                12    3 99999  Weighted
## 16705     Sham first 4.430612                12    3 99999  Weighted
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## 16711     Sham first 4.534082                12    3 99999  Weighted
## 16713     Sham first 4.568571                12    3 99999  Weighted
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## 16717     Sham first 4.637551                12    3 99999  Weighted
## 16719     Sham first 4.672041                12    3 99999  Weighted
## 16721     Sham first 4.706531                12    3 99999  Weighted
## 16723     Sham first 4.741020                12    3 99999  Weighted
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## 16727     Sham first 4.810000                12    3 99999  Weighted
## 16729     Sham first 3.965833                13    3 99999  Weighted
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## 16733     Sham first 3.154490                13    3 99999  Weighted
## 16735     Sham first 3.188980                13    3 99999  Weighted
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## 16739     Sham first 3.257959                13    3 99999  Weighted
## 16741     Sham first 3.292449                13    3 99999  Weighted
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## 16745     Sham first 3.361429                13    3 99999  Weighted
## 16747     Sham first 3.395918                13    3 99999  Weighted
## 16749     Sham first 3.430408                13    3 99999  Weighted
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## 16753     Sham first 3.499388                13    3 99999  Weighted
## 16755     Sham first 3.533878                13    3 99999  Weighted
## 16757     Sham first 3.568367                13    3 99999  Weighted
## 16759     Sham first 3.602857                13    3 99999  Weighted
## 16761     Sham first 3.637347                13    3 99999  Weighted
## 16763     Sham first 3.671837                13    3 99999  Weighted
## 16765     Sham first 3.706327                13    3 99999  Weighted
## 16767     Sham first 3.740816                13    3 99999  Weighted
## 16769     Sham first 3.775306                13    3 99999  Weighted
## 16771     Sham first 3.809796                13    3 99999  Weighted
## 16773     Sham first 3.844286                13    3 99999  Weighted
## 16775     Sham first 3.878776                13    3 99999  Weighted
## 16777     Sham first 3.913265                13    3 99999  Weighted
## 16779     Sham first 3.947755                13    3 99999  Weighted
## 16781     Sham first 3.982245                13    3 99999  Weighted
## 16783     Sham first 4.016735                13    3 99999  Weighted
## 16785     Sham first 4.051224                13    3 99999  Weighted
## 16787     Sham first 4.085714                13    3 99999  Weighted
## 16789     Sham first 4.120204                13    3 99999  Weighted
## 16791     Sham first 4.154694                13    3 99999  Weighted
## 16793     Sham first 4.189184                13    3 99999  Weighted
## 16795     Sham first 4.223673                13    3 99999  Weighted
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## 16799     Sham first 4.292653                13    3 99999  Weighted
## 16801     Sham first 4.327143                13    3 99999  Weighted
## 16803     Sham first 4.361633                13    3 99999  Weighted
## 16805     Sham first 4.396122                13    3 99999  Weighted
## 16807     Sham first 4.430612                13    3 99999  Weighted
## 16809     Sham first 4.465102                13    3 99999  Weighted
## 16811     Sham first 4.499592                13    3 99999  Weighted
## 16813     Sham first 4.534082                13    3 99999  Weighted
## 16815     Sham first 4.568571                13    3 99999  Weighted
## 16817     Sham first 4.603061                13    3 99999  Weighted
## 16819     Sham first 4.637551                13    3 99999  Weighted
## 16821     Sham first 4.672041                13    3 99999  Weighted
## 16823     Sham first 4.706531                13    3 99999  Weighted
## 16825     Sham first 4.741020                13    3 99999  Weighted
## 16827     Sham first 4.775510                13    3 99999  Weighted
## 16829     Sham first 4.810000                13    3 99999  Weighted
## 16831     Sham first 3.965833                14    3 99999  Weighted
## 16833     Sham first 3.120000                14    3 99999  Weighted
## 16835     Sham first 3.154490                14    3 99999  Weighted
## 16837     Sham first 3.188980                14    3 99999  Weighted
## 16839     Sham first 3.223469                14    3 99999  Weighted
## 16841     Sham first 3.257959                14    3 99999  Weighted
## 16843     Sham first 3.292449                14    3 99999  Weighted
## 16845     Sham first 3.326939                14    3 99999  Weighted
## 16847     Sham first 3.361429                14    3 99999  Weighted
## 16849     Sham first 3.395918                14    3 99999  Weighted
## 16851     Sham first 3.430408                14    3 99999  Weighted
## 16853     Sham first 3.464898                14    3 99999  Weighted
## 16855     Sham first 3.499388                14    3 99999  Weighted
## 16857     Sham first 3.533878                14    3 99999  Weighted
## 16859     Sham first 3.568367                14    3 99999  Weighted
## 16861     Sham first 3.602857                14    3 99999  Weighted
## 16863     Sham first 3.637347                14    3 99999  Weighted
## 16865     Sham first 3.671837                14    3 99999  Weighted
## 16867     Sham first 3.706327                14    3 99999  Weighted
## 16869     Sham first 3.740816                14    3 99999  Weighted
## 16871     Sham first 3.775306                14    3 99999  Weighted
## 16873     Sham first 3.809796                14    3 99999  Weighted
## 16875     Sham first 3.844286                14    3 99999  Weighted
## 16877     Sham first 3.878776                14    3 99999  Weighted
## 16879     Sham first 3.913265                14    3 99999  Weighted
## 16881     Sham first 3.947755                14    3 99999  Weighted
## 16883     Sham first 3.982245                14    3 99999  Weighted
## 16885     Sham first 4.016735                14    3 99999  Weighted
## 16887     Sham first 4.051224                14    3 99999  Weighted
## 16889     Sham first 4.085714                14    3 99999  Weighted
## 16891     Sham first 4.120204                14    3 99999  Weighted
## 16893     Sham first 4.154694                14    3 99999  Weighted
## 16895     Sham first 4.189184                14    3 99999  Weighted
## 16897     Sham first 4.223673                14    3 99999  Weighted
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## 16901     Sham first 4.292653                14    3 99999  Weighted
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## 16905     Sham first 4.361633                14    3 99999  Weighted
## 16907     Sham first 4.396122                14    3 99999  Weighted
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## 16911     Sham first 4.465102                14    3 99999  Weighted
## 16913     Sham first 4.499592                14    3 99999  Weighted
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## 16917     Sham first 4.568571                14    3 99999  Weighted
## 16919     Sham first 4.603061                14    3 99999  Weighted
## 16921     Sham first 4.637551                14    3 99999  Weighted
## 16923     Sham first 4.672041                14    3 99999  Weighted
## 16925     Sham first 4.706531                14    3 99999  Weighted
## 16927     Sham first 4.741020                14    3 99999  Weighted
## 16929     Sham first 4.775510                14    3 99999  Weighted
## 16931     Sham first 4.810000                14    3 99999  Weighted
## 16933     Sham first 3.965833                15    3 99999  Weighted
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## 16937     Sham first 3.154490                15    3 99999  Weighted
## 16939     Sham first 3.188980                15    3 99999  Weighted
## 16941     Sham first 3.223469                15    3 99999  Weighted
## 16943     Sham first 3.257959                15    3 99999  Weighted
## 16945     Sham first 3.292449                15    3 99999  Weighted
## 16947     Sham first 3.326939                15    3 99999  Weighted
## 16949     Sham first 3.361429                15    3 99999  Weighted
## 16951     Sham first 3.395918                15    3 99999  Weighted
## 16953     Sham first 3.430408                15    3 99999  Weighted
## 16955     Sham first 3.464898                15    3 99999  Weighted
## 16957     Sham first 3.499388                15    3 99999  Weighted
## 16959     Sham first 3.533878                15    3 99999  Weighted
## 16961     Sham first 3.568367                15    3 99999  Weighted
## 16963     Sham first 3.602857                15    3 99999  Weighted
## 16965     Sham first 3.637347                15    3 99999  Weighted
## 16967     Sham first 3.671837                15    3 99999  Weighted
## 16969     Sham first 3.706327                15    3 99999  Weighted
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## 17085     Sham first 3.947755                16    3 99999  Weighted
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## 17093     Sham first 4.085714                16    3 99999  Weighted
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## 17099     Sham first 4.189184                16    3 99999  Weighted
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## 17105     Sham first 4.292653                16    3 99999  Weighted
## 17107     Sham first 4.327143                16    3 99999  Weighted
## 17109     Sham first 4.361633                16    3 99999  Weighted
## 17111     Sham first 4.396122                16    3 99999  Weighted
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## 17117     Sham first 4.499592                16    3 99999  Weighted
## 17119     Sham first 4.534082                16    3 99999  Weighted
## 17121     Sham first 4.568571                16    3 99999  Weighted
## 17123     Sham first 4.603061                16    3 99999  Weighted
## 17125     Sham first 4.637551                16    3 99999  Weighted
## 17127     Sham first 4.672041                16    3 99999  Weighted
## 17129     Sham first 4.706531                16    3 99999  Weighted
## 17131     Sham first 4.741020                16    3 99999  Weighted
## 17133     Sham first 4.775510                16    3 99999  Weighted
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## 17137     Sham first 3.965833                17    3 99999  Weighted
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## 17143     Sham first 3.188980                17    3 99999  Weighted
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## 17147     Sham first 3.257959                17    3 99999  Weighted
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## 17153     Sham first 3.361429                17    3 99999  Weighted
## 17155     Sham first 3.395918                17    3 99999  Weighted
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## 17161     Sham first 3.499388                17    3 99999  Weighted
## 17163     Sham first 3.533878                17    3 99999  Weighted
## 17165     Sham first 3.568367                17    3 99999  Weighted
## 17167     Sham first 3.602857                17    3 99999  Weighted
## 17169     Sham first 3.637347                17    3 99999  Weighted
## 17171     Sham first 3.671837                17    3 99999  Weighted
## 17173     Sham first 3.706327                17    3 99999  Weighted
## 17175     Sham first 3.740816                17    3 99999  Weighted
## 17177     Sham first 3.775306                17    3 99999  Weighted
## 17179     Sham first 3.809796                17    3 99999  Weighted
## 17181     Sham first 3.844286                17    3 99999  Weighted
## 17183     Sham first 3.878776                17    3 99999  Weighted
## 17185     Sham first 3.913265                17    3 99999  Weighted
## 17187     Sham first 3.947755                17    3 99999  Weighted
## 17189     Sham first 3.982245                17    3 99999  Weighted
## 17191     Sham first 4.016735                17    3 99999  Weighted
## 17193     Sham first 4.051224                17    3 99999  Weighted
## 17195     Sham first 4.085714                17    3 99999  Weighted
## 17197     Sham first 4.120204                17    3 99999  Weighted
## 17199     Sham first 4.154694                17    3 99999  Weighted
## 17201     Sham first 4.189184                17    3 99999  Weighted
## 17203     Sham first 4.223673                17    3 99999  Weighted
## 17205     Sham first 4.258163                17    3 99999  Weighted
## 17207     Sham first 4.292653                17    3 99999  Weighted
## 17209     Sham first 4.327143                17    3 99999  Weighted
## 17211     Sham first 4.361633                17    3 99999  Weighted
## 17213     Sham first 4.396122                17    3 99999  Weighted
## 17215     Sham first 4.430612                17    3 99999  Weighted
## 17217     Sham first 4.465102                17    3 99999  Weighted
## 17219     Sham first 4.499592                17    3 99999  Weighted
## 17221     Sham first 4.534082                17    3 99999  Weighted
## 17223     Sham first 4.568571                17    3 99999  Weighted
## 17225     Sham first 4.603061                17    3 99999  Weighted
## 17227     Sham first 4.637551                17    3 99999  Weighted
## 17229     Sham first 4.672041                17    3 99999  Weighted
## 17231     Sham first 4.706531                17    3 99999  Weighted
## 17233     Sham first 4.741020                17    3 99999  Weighted
## 17235     Sham first 4.775510                17    3 99999  Weighted
## 17237     Sham first 4.810000                17    3 99999  Weighted
## 17239     Sham first 3.965833                18    3 99999  Weighted
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## 17243     Sham first 3.154490                18    3 99999  Weighted
## 17245     Sham first 3.188980                18    3 99999  Weighted
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## 17249     Sham first 3.257959                18    3 99999  Weighted
## 17251     Sham first 3.292449                18    3 99999  Weighted
## 17253     Sham first 3.326939                18    3 99999  Weighted
## 17255     Sham first 3.361429                18    3 99999  Weighted
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## 17259     Sham first 3.430408                18    3 99999  Weighted
## 17261     Sham first 3.464898                18    3 99999  Weighted
## 17263     Sham first 3.499388                18    3 99999  Weighted
## 17265     Sham first 3.533878                18    3 99999  Weighted
## 17267     Sham first 3.568367                18    3 99999  Weighted
## 17269     Sham first 3.602857                18    3 99999  Weighted
## 17271     Sham first 3.637347                18    3 99999  Weighted
## 17273     Sham first 3.671837                18    3 99999  Weighted
## 17275     Sham first 3.706327                18    3 99999  Weighted
## 17277     Sham first 3.740816                18    3 99999  Weighted
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## 17281     Sham first 3.809796                18    3 99999  Weighted
## 17283     Sham first 3.844286                18    3 99999  Weighted
## 17285     Sham first 3.878776                18    3 99999  Weighted
## 17287     Sham first 3.913265                18    3 99999  Weighted
## 17289     Sham first 3.947755                18    3 99999  Weighted
## 17291     Sham first 3.982245                18    3 99999  Weighted
## 17293     Sham first 4.016735                18    3 99999  Weighted
## 17295     Sham first 4.051224                18    3 99999  Weighted
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## 17301     Sham first 4.154694                18    3 99999  Weighted
## 17303     Sham first 4.189184                18    3 99999  Weighted
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## 17307     Sham first 4.258163                18    3 99999  Weighted
## 17309     Sham first 4.292653                18    3 99999  Weighted
## 17311     Sham first 4.327143                18    3 99999  Weighted
## 17313     Sham first 4.361633                18    3 99999  Weighted
## 17315     Sham first 4.396122                18    3 99999  Weighted
## 17317     Sham first 4.430612                18    3 99999  Weighted
## 17319     Sham first 4.465102                18    3 99999  Weighted
## 17321     Sham first 4.499592                18    3 99999  Weighted
## 17323     Sham first 4.534082                18    3 99999  Weighted
## 17325     Sham first 4.568571                18    3 99999  Weighted
## 17327     Sham first 4.603061                18    3 99999  Weighted
## 17329     Sham first 4.637551                18    3 99999  Weighted
## 17331     Sham first 4.672041                18    3 99999  Weighted
## 17333     Sham first 4.706531                18    3 99999  Weighted
## 17335     Sham first 4.741020                18    3 99999  Weighted
## 17337     Sham first 4.775510                18    3 99999  Weighted
## 17339     Sham first 4.810000                18    3 99999  Weighted
## 17341     Sham first 3.965833                19    3 99999  Weighted
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## 17345     Sham first 3.154490                19    3 99999  Weighted
## 17347     Sham first 3.188980                19    3 99999  Weighted
## 17349     Sham first 3.223469                19    3 99999  Weighted
## 17351     Sham first 3.257959                19    3 99999  Weighted
## 17353     Sham first 3.292449                19    3 99999  Weighted
## 17355     Sham first 3.326939                19    3 99999  Weighted
## 17357     Sham first 3.361429                19    3 99999  Weighted
## 17359     Sham first 3.395918                19    3 99999  Weighted
## 17361     Sham first 3.430408                19    3 99999  Weighted
## 17363     Sham first 3.464898                19    3 99999  Weighted
## 17365     Sham first 3.499388                19    3 99999  Weighted
## 17367     Sham first 3.533878                19    3 99999  Weighted
## 17369     Sham first 3.568367                19    3 99999  Weighted
## 17371     Sham first 3.602857                19    3 99999  Weighted
## 17373     Sham first 3.637347                19    3 99999  Weighted
## 17375     Sham first 3.671837                19    3 99999  Weighted
## 17377     Sham first 3.706327                19    3 99999  Weighted
## 17379     Sham first 3.740816                19    3 99999  Weighted
## 17381     Sham first 3.775306                19    3 99999  Weighted
## 17383     Sham first 3.809796                19    3 99999  Weighted
## 17385     Sham first 3.844286                19    3 99999  Weighted
## 17387     Sham first 3.878776                19    3 99999  Weighted
## 17389     Sham first 3.913265                19    3 99999  Weighted
## 17391     Sham first 3.947755                19    3 99999  Weighted
## 17393     Sham first 3.982245                19    3 99999  Weighted
## 17395     Sham first 4.016735                19    3 99999  Weighted
## 17397     Sham first 4.051224                19    3 99999  Weighted
## 17399     Sham first 4.085714                19    3 99999  Weighted
## 17401     Sham first 4.120204                19    3 99999  Weighted
## 17403     Sham first 4.154694                19    3 99999  Weighted
## 17405     Sham first 4.189184                19    3 99999  Weighted
## 17407     Sham first 4.223673                19    3 99999  Weighted
## 17409     Sham first 4.258163                19    3 99999  Weighted
## 17411     Sham first 4.292653                19    3 99999  Weighted
## 17413     Sham first 4.327143                19    3 99999  Weighted
## 17415     Sham first 4.361633                19    3 99999  Weighted
## 17417     Sham first 4.396122                19    3 99999  Weighted
## 17419     Sham first 4.430612                19    3 99999  Weighted
## 17421     Sham first 4.465102                19    3 99999  Weighted
## 17423     Sham first 4.499592                19    3 99999  Weighted
## 17425     Sham first 4.534082                19    3 99999  Weighted
## 17427     Sham first 4.568571                19    3 99999  Weighted
## 17429     Sham first 4.603061                19    3 99999  Weighted
## 17431     Sham first 4.637551                19    3 99999  Weighted
## 17433     Sham first 4.672041                19    3 99999  Weighted
## 17435     Sham first 4.706531                19    3 99999  Weighted
## 17437     Sham first 4.741020                19    3 99999  Weighted
## 17439     Sham first 4.775510                19    3 99999  Weighted
## 17441     Sham first 4.810000                19    3 99999  Weighted
## 17443     Sham first 3.965833                20    3 99999  Weighted
## 17445     Sham first 3.120000                20    3 99999  Weighted
## 17447     Sham first 3.154490                20    3 99999  Weighted
## 17449     Sham first 3.188980                20    3 99999  Weighted
## 17451     Sham first 3.223469                20    3 99999  Weighted
## 17453     Sham first 3.257959                20    3 99999  Weighted
## 17455     Sham first 3.292449                20    3 99999  Weighted
## 17457     Sham first 3.326939                20    3 99999  Weighted
## 17459     Sham first 3.361429                20    3 99999  Weighted
## 17461     Sham first 3.395918                20    3 99999  Weighted
## 17463     Sham first 3.430408                20    3 99999  Weighted
## 17465     Sham first 3.464898                20    3 99999  Weighted
## 17467     Sham first 3.499388                20    3 99999  Weighted
## 17469     Sham first 3.533878                20    3 99999  Weighted
## 17471     Sham first 3.568367                20    3 99999  Weighted
## 17473     Sham first 3.602857                20    3 99999  Weighted
## 17475     Sham first 3.637347                20    3 99999  Weighted
## 17477     Sham first 3.671837                20    3 99999  Weighted
## 17479     Sham first 3.706327                20    3 99999  Weighted
## 17481     Sham first 3.740816                20    3 99999  Weighted
## 17483     Sham first 3.775306                20    3 99999  Weighted
## 17485     Sham first 3.809796                20    3 99999  Weighted
## 17487     Sham first 3.844286                20    3 99999  Weighted
## 17489     Sham first 3.878776                20    3 99999  Weighted
## 17491     Sham first 3.913265                20    3 99999  Weighted
## 17493     Sham first 3.947755                20    3 99999  Weighted
## 17495     Sham first 3.982245                20    3 99999  Weighted
## 17497     Sham first 4.016735                20    3 99999  Weighted
## 17499     Sham first 4.051224                20    3 99999  Weighted
## 17501     Sham first 4.085714                20    3 99999  Weighted
## 17503     Sham first 4.120204                20    3 99999  Weighted
## 17505     Sham first 4.154694                20    3 99999  Weighted
## 17507     Sham first 4.189184                20    3 99999  Weighted
## 17509     Sham first 4.223673                20    3 99999  Weighted
## 17511     Sham first 4.258163                20    3 99999  Weighted
## 17513     Sham first 4.292653                20    3 99999  Weighted
## 17515     Sham first 4.327143                20    3 99999  Weighted
## 17517     Sham first 4.361633                20    3 99999  Weighted
## 17519     Sham first 4.396122                20    3 99999  Weighted
## 17521     Sham first 4.430612                20    3 99999  Weighted
## 17523     Sham first 4.465102                20    3 99999  Weighted
## 17525     Sham first 4.499592                20    3 99999  Weighted
## 17527     Sham first 4.534082                20    3 99999  Weighted
## 17529     Sham first 4.568571                20    3 99999  Weighted
## 17531     Sham first 4.603061                20    3 99999  Weighted
## 17533     Sham first 4.637551                20    3 99999  Weighted
## 17535     Sham first 4.672041                20    3 99999  Weighted
## 17537     Sham first 4.706531                20    3 99999  Weighted
## 17539     Sham first 4.741020                20    3 99999  Weighted
## 17541     Sham first 4.775510                20    3 99999  Weighted
## 17543     Sham first 4.810000                20    3 99999  Weighted
## 17545     Sham first 3.965833                21    3 99999  Weighted
## 17547     Sham first 3.120000                21    3 99999  Weighted
## 17549     Sham first 3.154490                21    3 99999  Weighted
## 17551     Sham first 3.188980                21    3 99999  Weighted
## 17553     Sham first 3.223469                21    3 99999  Weighted
## 17555     Sham first 3.257959                21    3 99999  Weighted
## 17557     Sham first 3.292449                21    3 99999  Weighted
## 17559     Sham first 3.326939                21    3 99999  Weighted
## 17561     Sham first 3.361429                21    3 99999  Weighted
## 17563     Sham first 3.395918                21    3 99999  Weighted
## 17565     Sham first 3.430408                21    3 99999  Weighted
## 17567     Sham first 3.464898                21    3 99999  Weighted
## 17569     Sham first 3.499388                21    3 99999  Weighted
## 17571     Sham first 3.533878                21    3 99999  Weighted
## 17573     Sham first 3.568367                21    3 99999  Weighted
## 17575     Sham first 3.602857                21    3 99999  Weighted
## 17577     Sham first 3.637347                21    3 99999  Weighted
## 17579     Sham first 3.671837                21    3 99999  Weighted
## 17581     Sham first 3.706327                21    3 99999  Weighted
## 17583     Sham first 3.740816                21    3 99999  Weighted
## 17585     Sham first 3.775306                21    3 99999  Weighted
## 17587     Sham first 3.809796                21    3 99999  Weighted
## 17589     Sham first 3.844286                21    3 99999  Weighted
## 17591     Sham first 3.878776                21    3 99999  Weighted
## 17593     Sham first 3.913265                21    3 99999  Weighted
## 17595     Sham first 3.947755                21    3 99999  Weighted
## 17597     Sham first 3.982245                21    3 99999  Weighted
## 17599     Sham first 4.016735                21    3 99999  Weighted
## 17601     Sham first 4.051224                21    3 99999  Weighted
## 17603     Sham first 4.085714                21    3 99999  Weighted
## 17605     Sham first 4.120204                21    3 99999  Weighted
## 17607     Sham first 4.154694                21    3 99999  Weighted
## 17609     Sham first 4.189184                21    3 99999  Weighted
## 17611     Sham first 4.223673                21    3 99999  Weighted
## 17613     Sham first 4.258163                21    3 99999  Weighted
## 17615     Sham first 4.292653                21    3 99999  Weighted
## 17617     Sham first 4.327143                21    3 99999  Weighted
## 17619     Sham first 4.361633                21    3 99999  Weighted
## 17621     Sham first 4.396122                21    3 99999  Weighted
## 17623     Sham first 4.430612                21    3 99999  Weighted
## 17625     Sham first 4.465102                21    3 99999  Weighted
## 17627     Sham first 4.499592                21    3 99999  Weighted
## 17629     Sham first 4.534082                21    3 99999  Weighted
## 17631     Sham first 4.568571                21    3 99999  Weighted
## 17633     Sham first 4.603061                21    3 99999  Weighted
## 17635     Sham first 4.637551                21    3 99999  Weighted
## 17637     Sham first 4.672041                21    3 99999  Weighted
## 17639     Sham first 4.706531                21    3 99999  Weighted
## 17641     Sham first 4.741020                21    3 99999  Weighted
## 17643     Sham first 4.775510                21    3 99999  Weighted
## 17645     Sham first 4.810000                21    3 99999  Weighted
## 17647     Sham first 3.965833                22    3 99999  Weighted
## 17649     Sham first 3.120000                22    3 99999  Weighted
## 17651     Sham first 3.154490                22    3 99999  Weighted
## 17653     Sham first 3.188980                22    3 99999  Weighted
## 17655     Sham first 3.223469                22    3 99999  Weighted
## 17657     Sham first 3.257959                22    3 99999  Weighted
## 17659     Sham first 3.292449                22    3 99999  Weighted
## 17661     Sham first 3.326939                22    3 99999  Weighted
## 17663     Sham first 3.361429                22    3 99999  Weighted
## 17665     Sham first 3.395918                22    3 99999  Weighted
## 17667     Sham first 3.430408                22    3 99999  Weighted
## 17669     Sham first 3.464898                22    3 99999  Weighted
## 17671     Sham first 3.499388                22    3 99999  Weighted
## 17673     Sham first 3.533878                22    3 99999  Weighted
## 17675     Sham first 3.568367                22    3 99999  Weighted
## 17677     Sham first 3.602857                22    3 99999  Weighted
## 17679     Sham first 3.637347                22    3 99999  Weighted
## 17681     Sham first 3.671837                22    3 99999  Weighted
## 17683     Sham first 3.706327                22    3 99999  Weighted
## 17685     Sham first 3.740816                22    3 99999  Weighted
## 17687     Sham first 3.775306                22    3 99999  Weighted
## 17689     Sham first 3.809796                22    3 99999  Weighted
## 17691     Sham first 3.844286                22    3 99999  Weighted
## 17693     Sham first 3.878776                22    3 99999  Weighted
## 17695     Sham first 3.913265                22    3 99999  Weighted
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## 17711     Sham first 4.189184                22    3 99999  Weighted
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## 17745     Sham first 4.775510                22    3 99999  Weighted
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## 17769     Sham first 3.430408                23    3 99999  Weighted
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## 17773     Sham first 3.499388                23    3 99999  Weighted
## 17775     Sham first 3.533878                23    3 99999  Weighted
## 17777     Sham first 3.568367                23    3 99999  Weighted
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## 17781     Sham first 3.637347                23    3 99999  Weighted
## 17783     Sham first 3.671837                23    3 99999  Weighted
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## 17787     Sham first 3.740816                23    3 99999  Weighted
## 17789     Sham first 3.775306                23    3 99999  Weighted
## 17791     Sham first 3.809796                23    3 99999  Weighted
## 17793     Sham first 3.844286                23    3 99999  Weighted
## 17795     Sham first 3.878776                23    3 99999  Weighted
## 17797     Sham first 3.913265                23    3 99999  Weighted
## 17799     Sham first 3.947755                23    3 99999  Weighted
## 17801     Sham first 3.982245                23    3 99999  Weighted
## 17803     Sham first 4.016735                23    3 99999  Weighted
## 17805     Sham first 4.051224                23    3 99999  Weighted
## 17807     Sham first 4.085714                23    3 99999  Weighted
## 17809     Sham first 4.120204                23    3 99999  Weighted
## 17811     Sham first 4.154694                23    3 99999  Weighted
## 17813     Sham first 4.189184                23    3 99999  Weighted
## 17815     Sham first 4.223673                23    3 99999  Weighted
## 17817     Sham first 4.258163                23    3 99999  Weighted
## 17819     Sham first 4.292653                23    3 99999  Weighted
## 17821     Sham first 4.327143                23    3 99999  Weighted
## 17823     Sham first 4.361633                23    3 99999  Weighted
## 17825     Sham first 4.396122                23    3 99999  Weighted
## 17827     Sham first 4.430612                23    3 99999  Weighted
## 17829     Sham first 4.465102                23    3 99999  Weighted
## 17831     Sham first 4.499592                23    3 99999  Weighted
## 17833     Sham first 4.534082                23    3 99999  Weighted
## 17835     Sham first 4.568571                23    3 99999  Weighted
## 17837     Sham first 4.603061                23    3 99999  Weighted
## 17839     Sham first 4.637551                23    3 99999  Weighted
## 17841     Sham first 4.672041                23    3 99999  Weighted
## 17843     Sham first 4.706531                23    3 99999  Weighted
## 17845     Sham first 4.741020                23    3 99999  Weighted
## 17847     Sham first 4.775510                23    3 99999  Weighted
## 17849     Sham first 4.810000                23    3 99999  Weighted
## 17851     Sham first 3.965833                24    3 99999  Weighted
## 17853     Sham first 3.120000                24    3 99999  Weighted
## 17855     Sham first 3.154490                24    3 99999  Weighted
## 17857     Sham first 3.188980                24    3 99999  Weighted
## 17859     Sham first 3.223469                24    3 99999  Weighted
## 17861     Sham first 3.257959                24    3 99999  Weighted
## 17863     Sham first 3.292449                24    3 99999  Weighted
## 17865     Sham first 3.326939                24    3 99999  Weighted
## 17867     Sham first 3.361429                24    3 99999  Weighted
## 17869     Sham first 3.395918                24    3 99999  Weighted
## 17871     Sham first 3.430408                24    3 99999  Weighted
## 17873     Sham first 3.464898                24    3 99999  Weighted
## 17875     Sham first 3.499388                24    3 99999  Weighted
## 17877     Sham first 3.533878                24    3 99999  Weighted
## 17879     Sham first 3.568367                24    3 99999  Weighted
## 17881     Sham first 3.602857                24    3 99999  Weighted
## 17883     Sham first 3.637347                24    3 99999  Weighted
## 17885     Sham first 3.671837                24    3 99999  Weighted
## 17887     Sham first 3.706327                24    3 99999  Weighted
## 17889     Sham first 3.740816                24    3 99999  Weighted
## 17891     Sham first 3.775306                24    3 99999  Weighted
## 17893     Sham first 3.809796                24    3 99999  Weighted
## 17895     Sham first 3.844286                24    3 99999  Weighted
## 17897     Sham first 3.878776                24    3 99999  Weighted
## 17899     Sham first 3.913265                24    3 99999  Weighted
## 17901     Sham first 3.947755                24    3 99999  Weighted
## 17903     Sham first 3.982245                24    3 99999  Weighted
## 17905     Sham first 4.016735                24    3 99999  Weighted
## 17907     Sham first 4.051224                24    3 99999  Weighted
## 17909     Sham first 4.085714                24    3 99999  Weighted
## 17911     Sham first 4.120204                24    3 99999  Weighted
## 17913     Sham first 4.154694                24    3 99999  Weighted
## 17915     Sham first 4.189184                24    3 99999  Weighted
## 17917     Sham first 4.223673                24    3 99999  Weighted
## 17919     Sham first 4.258163                24    3 99999  Weighted
## 17921     Sham first 4.292653                24    3 99999  Weighted
## 17923     Sham first 4.327143                24    3 99999  Weighted
## 17925     Sham first 4.361633                24    3 99999  Weighted
## 17927     Sham first 4.396122                24    3 99999  Weighted
## 17929     Sham first 4.430612                24    3 99999  Weighted
## 17931     Sham first 4.465102                24    3 99999  Weighted
## 17933     Sham first 4.499592                24    3 99999  Weighted
## 17935     Sham first 4.534082                24    3 99999  Weighted
## 17937     Sham first 4.568571                24    3 99999  Weighted
## 17939     Sham first 4.603061                24    3 99999  Weighted
## 17941     Sham first 4.637551                24    3 99999  Weighted
## 17943     Sham first 4.672041                24    3 99999  Weighted
## 17945     Sham first 4.706531                24    3 99999  Weighted
## 17947     Sham first 4.741020                24    3 99999  Weighted
## 17949     Sham first 4.775510                24    3 99999  Weighted
## 17951     Sham first 4.810000                24    3 99999  Weighted
## 17953     Sham first 3.965833                25    3 99999  Weighted
## 17955     Sham first 3.120000                25    3 99999  Weighted
## 17957     Sham first 3.154490                25    3 99999  Weighted
## 17959     Sham first 3.188980                25    3 99999  Weighted
## 17961     Sham first 3.223469                25    3 99999  Weighted
## 17963     Sham first 3.257959                25    3 99999  Weighted
## 17965     Sham first 3.292449                25    3 99999  Weighted
## 17967     Sham first 3.326939                25    3 99999  Weighted
## 17969     Sham first 3.361429                25    3 99999  Weighted
## 17971     Sham first 3.395918                25    3 99999  Weighted
## 17973     Sham first 3.430408                25    3 99999  Weighted
## 17975     Sham first 3.464898                25    3 99999  Weighted
## 17977     Sham first 3.499388                25    3 99999  Weighted
## 17979     Sham first 3.533878                25    3 99999  Weighted
## 17981     Sham first 3.568367                25    3 99999  Weighted
## 17983     Sham first 3.602857                25    3 99999  Weighted
## 17985     Sham first 3.637347                25    3 99999  Weighted
## 17987     Sham first 3.671837                25    3 99999  Weighted
## 17989     Sham first 3.706327                25    3 99999  Weighted
## 17991     Sham first 3.740816                25    3 99999  Weighted
## 17993     Sham first 3.775306                25    3 99999  Weighted
## 17995     Sham first 3.809796                25    3 99999  Weighted
## 17997     Sham first 3.844286                25    3 99999  Weighted
## 17999     Sham first 3.878776                25    3 99999  Weighted
## 18001     Sham first 3.913265                25    3 99999  Weighted
## 18003     Sham first 3.947755                25    3 99999  Weighted
## 18005     Sham first 3.982245                25    3 99999  Weighted
## 18007     Sham first 4.016735                25    3 99999  Weighted
## 18009     Sham first 4.051224                25    3 99999  Weighted
## 18011     Sham first 4.085714                25    3 99999  Weighted
## 18013     Sham first 4.120204                25    3 99999  Weighted
## 18015     Sham first 4.154694                25    3 99999  Weighted
## 18017     Sham first 4.189184                25    3 99999  Weighted
## 18019     Sham first 4.223673                25    3 99999  Weighted
## 18021     Sham first 4.258163                25    3 99999  Weighted
## 18023     Sham first 4.292653                25    3 99999  Weighted
## 18025     Sham first 4.327143                25    3 99999  Weighted
## 18027     Sham first 4.361633                25    3 99999  Weighted
## 18029     Sham first 4.396122                25    3 99999  Weighted
## 18031     Sham first 4.430612                25    3 99999  Weighted
## 18033     Sham first 4.465102                25    3 99999  Weighted
## 18035     Sham first 4.499592                25    3 99999  Weighted
## 18037     Sham first 4.534082                25    3 99999  Weighted
## 18039     Sham first 4.568571                25    3 99999  Weighted
## 18041     Sham first 4.603061                25    3 99999  Weighted
## 18043     Sham first 4.637551                25    3 99999  Weighted
## 18045     Sham first 4.672041                25    3 99999  Weighted
## 18047     Sham first 4.706531                25    3 99999  Weighted
## 18049     Sham first 4.741020                25    3 99999  Weighted
## 18051     Sham first 4.775510                25    3 99999  Weighted
## 18053     Sham first 4.810000                25    3 99999  Weighted
## 18055     Sham first 3.965833                26    3 99999  Weighted
## 18057     Sham first 3.120000                26    3 99999  Weighted
## 18059     Sham first 3.154490                26    3 99999  Weighted
## 18061     Sham first 3.188980                26    3 99999  Weighted
## 18063     Sham first 3.223469                26    3 99999  Weighted
## 18065     Sham first 3.257959                26    3 99999  Weighted
## 18067     Sham first 3.292449                26    3 99999  Weighted
## 18069     Sham first 3.326939                26    3 99999  Weighted
## 18071     Sham first 3.361429                26    3 99999  Weighted
## 18073     Sham first 3.395918                26    3 99999  Weighted
## 18075     Sham first 3.430408                26    3 99999  Weighted
## 18077     Sham first 3.464898                26    3 99999  Weighted
## 18079     Sham first 3.499388                26    3 99999  Weighted
## 18081     Sham first 3.533878                26    3 99999  Weighted
## 18083     Sham first 3.568367                26    3 99999  Weighted
## 18085     Sham first 3.602857                26    3 99999  Weighted
## 18087     Sham first 3.637347                26    3 99999  Weighted
## 18089     Sham first 3.671837                26    3 99999  Weighted
## 18091     Sham first 3.706327                26    3 99999  Weighted
## 18093     Sham first 3.740816                26    3 99999  Weighted
## 18095     Sham first 3.775306                26    3 99999  Weighted
## 18097     Sham first 3.809796                26    3 99999  Weighted
## 18099     Sham first 3.844286                26    3 99999  Weighted
## 18101     Sham first 3.878776                26    3 99999  Weighted
## 18103     Sham first 3.913265                26    3 99999  Weighted
## 18105     Sham first 3.947755                26    3 99999  Weighted
## 18107     Sham first 3.982245                26    3 99999  Weighted
## 18109     Sham first 4.016735                26    3 99999  Weighted
## 18111     Sham first 4.051224                26    3 99999  Weighted
## 18113     Sham first 4.085714                26    3 99999  Weighted
## 18115     Sham first 4.120204                26    3 99999  Weighted
## 18117     Sham first 4.154694                26    3 99999  Weighted
## 18119     Sham first 4.189184                26    3 99999  Weighted
## 18121     Sham first 4.223673                26    3 99999  Weighted
## 18123     Sham first 4.258163                26    3 99999  Weighted
## 18125     Sham first 4.292653                26    3 99999  Weighted
## 18127     Sham first 4.327143                26    3 99999  Weighted
## 18129     Sham first 4.361633                26    3 99999  Weighted
## 18131     Sham first 4.396122                26    3 99999  Weighted
## 18133     Sham first 4.430612                26    3 99999  Weighted
## 18135     Sham first 4.465102                26    3 99999  Weighted
## 18137     Sham first 4.499592                26    3 99999  Weighted
## 18139     Sham first 4.534082                26    3 99999  Weighted
## 18141     Sham first 4.568571                26    3 99999  Weighted
## 18143     Sham first 4.603061                26    3 99999  Weighted
## 18145     Sham first 4.637551                26    3 99999  Weighted
## 18147     Sham first 4.672041                26    3 99999  Weighted
## 18149     Sham first 4.706531                26    3 99999  Weighted
## 18151     Sham first 4.741020                26    3 99999  Weighted
## 18153     Sham first 4.775510                26    3 99999  Weighted
## 18155     Sham first 4.810000                26    3 99999  Weighted
## 18157     Sham first 3.965833                27    3 99999  Weighted
## 18159     Sham first 3.120000                27    3 99999  Weighted
## 18161     Sham first 3.154490                27    3 99999  Weighted
## 18163     Sham first 3.188980                27    3 99999  Weighted
## 18165     Sham first 3.223469                27    3 99999  Weighted
## 18167     Sham first 3.257959                27    3 99999  Weighted
## 18169     Sham first 3.292449                27    3 99999  Weighted
## 18171     Sham first 3.326939                27    3 99999  Weighted
## 18173     Sham first 3.361429                27    3 99999  Weighted
## 18175     Sham first 3.395918                27    3 99999  Weighted
## 18177     Sham first 3.430408                27    3 99999  Weighted
## 18179     Sham first 3.464898                27    3 99999  Weighted
## 18181     Sham first 3.499388                27    3 99999  Weighted
## 18183     Sham first 3.533878                27    3 99999  Weighted
## 18185     Sham first 3.568367                27    3 99999  Weighted
## 18187     Sham first 3.602857                27    3 99999  Weighted
## 18189     Sham first 3.637347                27    3 99999  Weighted
## 18191     Sham first 3.671837                27    3 99999  Weighted
## 18193     Sham first 3.706327                27    3 99999  Weighted
## 18195     Sham first 3.740816                27    3 99999  Weighted
## 18197     Sham first 3.775306                27    3 99999  Weighted
## 18199     Sham first 3.809796                27    3 99999  Weighted
## 18201     Sham first 3.844286                27    3 99999  Weighted
## 18203     Sham first 3.878776                27    3 99999  Weighted
## 18205     Sham first 3.913265                27    3 99999  Weighted
## 18207     Sham first 3.947755                27    3 99999  Weighted
## 18209     Sham first 3.982245                27    3 99999  Weighted
## 18211     Sham first 4.016735                27    3 99999  Weighted
## 18213     Sham first 4.051224                27    3 99999  Weighted
## 18215     Sham first 4.085714                27    3 99999  Weighted
## 18217     Sham first 4.120204                27    3 99999  Weighted
## 18219     Sham first 4.154694                27    3 99999  Weighted
## 18221     Sham first 4.189184                27    3 99999  Weighted
## 18223     Sham first 4.223673                27    3 99999  Weighted
## 18225     Sham first 4.258163                27    3 99999  Weighted
## 18227     Sham first 4.292653                27    3 99999  Weighted
## 18229     Sham first 4.327143                27    3 99999  Weighted
## 18231     Sham first 4.361633                27    3 99999  Weighted
## 18233     Sham first 4.396122                27    3 99999  Weighted
## 18235     Sham first 4.430612                27    3 99999  Weighted
## 18237     Sham first 4.465102                27    3 99999  Weighted
## 18239     Sham first 4.499592                27    3 99999  Weighted
## 18241     Sham first 4.534082                27    3 99999  Weighted
## 18243     Sham first 4.568571                27    3 99999  Weighted
## 18245     Sham first 4.603061                27    3 99999  Weighted
## 18247     Sham first 4.637551                27    3 99999  Weighted
## 18249     Sham first 4.672041                27    3 99999  Weighted
## 18251     Sham first 4.706531                27    3 99999  Weighted
## 18253     Sham first 4.741020                27    3 99999  Weighted
## 18255     Sham first 4.775510                27    3 99999  Weighted
## 18257     Sham first 4.810000                27    3 99999  Weighted
## 18259     Sham first 3.965833                28    3 99999  Weighted
## 18261     Sham first 3.120000                28    3 99999  Weighted
## 18263     Sham first 3.154490                28    3 99999  Weighted
## 18265     Sham first 3.188980                28    3 99999  Weighted
## 18267     Sham first 3.223469                28    3 99999  Weighted
## 18269     Sham first 3.257959                28    3 99999  Weighted
## 18271     Sham first 3.292449                28    3 99999  Weighted
## 18273     Sham first 3.326939                28    3 99999  Weighted
## 18275     Sham first 3.361429                28    3 99999  Weighted
## 18277     Sham first 3.395918                28    3 99999  Weighted
## 18279     Sham first 3.430408                28    3 99999  Weighted
## 18281     Sham first 3.464898                28    3 99999  Weighted
## 18283     Sham first 3.499388                28    3 99999  Weighted
## 18285     Sham first 3.533878                28    3 99999  Weighted
## 18287     Sham first 3.568367                28    3 99999  Weighted
## 18289     Sham first 3.602857                28    3 99999  Weighted
## 18291     Sham first 3.637347                28    3 99999  Weighted
## 18293     Sham first 3.671837                28    3 99999  Weighted
## 18295     Sham first 3.706327                28    3 99999  Weighted
## 18297     Sham first 3.740816                28    3 99999  Weighted
## 18299     Sham first 3.775306                28    3 99999  Weighted
## 18301     Sham first 3.809796                28    3 99999  Weighted
## 18303     Sham first 3.844286                28    3 99999  Weighted
## 18305     Sham first 3.878776                28    3 99999  Weighted
## 18307     Sham first 3.913265                28    3 99999  Weighted
## 18309     Sham first 3.947755                28    3 99999  Weighted
## 18311     Sham first 3.982245                28    3 99999  Weighted
## 18313     Sham first 4.016735                28    3 99999  Weighted
## 18315     Sham first 4.051224                28    3 99999  Weighted
## 18317     Sham first 4.085714                28    3 99999  Weighted
## 18319     Sham first 4.120204                28    3 99999  Weighted
## 18321     Sham first 4.154694                28    3 99999  Weighted
## 18323     Sham first 4.189184                28    3 99999  Weighted
## 18325     Sham first 4.223673                28    3 99999  Weighted
## 18327     Sham first 4.258163                28    3 99999  Weighted
## 18329     Sham first 4.292653                28    3 99999  Weighted
## 18331     Sham first 4.327143                28    3 99999  Weighted
## 18333     Sham first 4.361633                28    3 99999  Weighted
## 18335     Sham first 4.396122                28    3 99999  Weighted
## 18337     Sham first 4.430612                28    3 99999  Weighted
## 18339     Sham first 4.465102                28    3 99999  Weighted
## 18341     Sham first 4.499592                28    3 99999  Weighted
## 18343     Sham first 4.534082                28    3 99999  Weighted
## 18345     Sham first 4.568571                28    3 99999  Weighted
## 18347     Sham first 4.603061                28    3 99999  Weighted
## 18349     Sham first 4.637551                28    3 99999  Weighted
## 18351     Sham first 4.672041                28    3 99999  Weighted
## 18353     Sham first 4.706531                28    3 99999  Weighted
## 18355     Sham first 4.741020                28    3 99999  Weighted
## 18357     Sham first 4.775510                28    3 99999  Weighted
## 18359     Sham first 4.810000                28    3 99999  Weighted
## 18361     Sham first 3.965833                29    3 99999  Weighted
## 18363     Sham first 3.120000                29    3 99999  Weighted
## 18365     Sham first 3.154490                29    3 99999  Weighted
## 18367     Sham first 3.188980                29    3 99999  Weighted
## 18369     Sham first 3.223469                29    3 99999  Weighted
## 18371     Sham first 3.257959                29    3 99999  Weighted
## 18373     Sham first 3.292449                29    3 99999  Weighted
## 18375     Sham first 3.326939                29    3 99999  Weighted
## 18377     Sham first 3.361429                29    3 99999  Weighted
## 18379     Sham first 3.395918                29    3 99999  Weighted
## 18381     Sham first 3.430408                29    3 99999  Weighted
## 18383     Sham first 3.464898                29    3 99999  Weighted
## 18385     Sham first 3.499388                29    3 99999  Weighted
## 18387     Sham first 3.533878                29    3 99999  Weighted
## 18389     Sham first 3.568367                29    3 99999  Weighted
## 18391     Sham first 3.602857                29    3 99999  Weighted
## 18393     Sham first 3.637347                29    3 99999  Weighted
## 18395     Sham first 3.671837                29    3 99999  Weighted
## 18397     Sham first 3.706327                29    3 99999  Weighted
## 18399     Sham first 3.740816                29    3 99999  Weighted
## 18401     Sham first 3.775306                29    3 99999  Weighted
## 18403     Sham first 3.809796                29    3 99999  Weighted
## 18405     Sham first 3.844286                29    3 99999  Weighted
## 18407     Sham first 3.878776                29    3 99999  Weighted
## 18409     Sham first 3.913265                29    3 99999  Weighted
## 18411     Sham first 3.947755                29    3 99999  Weighted
## 18413     Sham first 3.982245                29    3 99999  Weighted
## 18415     Sham first 4.016735                29    3 99999  Weighted
## 18417     Sham first 4.051224                29    3 99999  Weighted
## 18419     Sham first 4.085714                29    3 99999  Weighted
## 18421     Sham first 4.120204                29    3 99999  Weighted
## 18423     Sham first 4.154694                29    3 99999  Weighted
## 18425     Sham first 4.189184                29    3 99999  Weighted
## 18427     Sham first 4.223673                29    3 99999  Weighted
## 18429     Sham first 4.258163                29    3 99999  Weighted
## 18431     Sham first 4.292653                29    3 99999  Weighted
## 18433     Sham first 4.327143                29    3 99999  Weighted
## 18435     Sham first 4.361633                29    3 99999  Weighted
## 18437     Sham first 4.396122                29    3 99999  Weighted
## 18439     Sham first 4.430612                29    3 99999  Weighted
## 18441     Sham first 4.465102                29    3 99999  Weighted
## 18443     Sham first 4.499592                29    3 99999  Weighted
## 18445     Sham first 4.534082                29    3 99999  Weighted
## 18447     Sham first 4.568571                29    3 99999  Weighted
## 18449     Sham first 4.603061                29    3 99999  Weighted
## 18451     Sham first 4.637551                29    3 99999  Weighted
## 18453     Sham first 4.672041                29    3 99999  Weighted
## 18455     Sham first 4.706531                29    3 99999  Weighted
## 18457     Sham first 4.741020                29    3 99999  Weighted
## 18459     Sham first 4.775510                29    3 99999  Weighted
## 18461     Sham first 4.810000                29    3 99999  Weighted
## 18463     Sham first 3.965833                30    3 99999  Weighted
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## 18467     Sham first 3.154490                30    3 99999  Weighted
## 18469     Sham first 3.188980                30    3 99999  Weighted
## 18471     Sham first 3.223469                30    3 99999  Weighted
## 18473     Sham first 3.257959                30    3 99999  Weighted
## 18475     Sham first 3.292449                30    3 99999  Weighted
## 18477     Sham first 3.326939                30    3 99999  Weighted
## 18479     Sham first 3.361429                30    3 99999  Weighted
## 18481     Sham first 3.395918                30    3 99999  Weighted
## 18483     Sham first 3.430408                30    3 99999  Weighted
## 18485     Sham first 3.464898                30    3 99999  Weighted
## 18487     Sham first 3.499388                30    3 99999  Weighted
## 18489     Sham first 3.533878                30    3 99999  Weighted
## 18491     Sham first 3.568367                30    3 99999  Weighted
## 18493     Sham first 3.602857                30    3 99999  Weighted
## 18495     Sham first 3.637347                30    3 99999  Weighted
## 18497     Sham first 3.671837                30    3 99999  Weighted
## 18499     Sham first 3.706327                30    3 99999  Weighted
## 18501     Sham first 3.740816                30    3 99999  Weighted
## 18503     Sham first 3.775306                30    3 99999  Weighted
## 18505     Sham first 3.809796                30    3 99999  Weighted
## 18507     Sham first 3.844286                30    3 99999  Weighted
## 18509     Sham first 3.878776                30    3 99999  Weighted
## 18511     Sham first 3.913265                30    3 99999  Weighted
## 18513     Sham first 3.947755                30    3 99999  Weighted
## 18515     Sham first 3.982245                30    3 99999  Weighted
## 18517     Sham first 4.016735                30    3 99999  Weighted
## 18519     Sham first 4.051224                30    3 99999  Weighted
## 18521     Sham first 4.085714                30    3 99999  Weighted
## 18523     Sham first 4.120204                30    3 99999  Weighted
## 18525     Sham first 4.154694                30    3 99999  Weighted
## 18527     Sham first 4.189184                30    3 99999  Weighted
## 18529     Sham first 4.223673                30    3 99999  Weighted
## 18531     Sham first 4.258163                30    3 99999  Weighted
## 18533     Sham first 4.292653                30    3 99999  Weighted
## 18535     Sham first 4.327143                30    3 99999  Weighted
## 18537     Sham first 4.361633                30    3 99999  Weighted
## 18539     Sham first 4.396122                30    3 99999  Weighted
## 18541     Sham first 4.430612                30    3 99999  Weighted
## 18543     Sham first 4.465102                30    3 99999  Weighted
## 18545     Sham first 4.499592                30    3 99999  Weighted
## 18547     Sham first 4.534082                30    3 99999  Weighted
## 18549     Sham first 4.568571                30    3 99999  Weighted
## 18551     Sham first 4.603061                30    3 99999  Weighted
## 18553     Sham first 4.637551                30    3 99999  Weighted
## 18555     Sham first 4.672041                30    3 99999  Weighted
## 18557     Sham first 4.706531                30    3 99999  Weighted
## 18559     Sham first 4.741020                30    3 99999  Weighted
## 18561     Sham first 4.775510                30    3 99999  Weighted
## 18563     Sham first 4.810000                30    3 99999  Weighted
## 18565     Sham first 3.965833                31    3 99999  Weighted
## 18567     Sham first 3.120000                31    3 99999  Weighted
## 18569     Sham first 3.154490                31    3 99999  Weighted
## 18571     Sham first 3.188980                31    3 99999  Weighted
## 18573     Sham first 3.223469                31    3 99999  Weighted
## 18575     Sham first 3.257959                31    3 99999  Weighted
## 18577     Sham first 3.292449                31    3 99999  Weighted
## 18579     Sham first 3.326939                31    3 99999  Weighted
## 18581     Sham first 3.361429                31    3 99999  Weighted
## 18583     Sham first 3.395918                31    3 99999  Weighted
## 18585     Sham first 3.430408                31    3 99999  Weighted
## 18587     Sham first 3.464898                31    3 99999  Weighted
## 18589     Sham first 3.499388                31    3 99999  Weighted
## 18591     Sham first 3.533878                31    3 99999  Weighted
## 18593     Sham first 3.568367                31    3 99999  Weighted
## 18595     Sham first 3.602857                31    3 99999  Weighted
## 18597     Sham first 3.637347                31    3 99999  Weighted
## 18599     Sham first 3.671837                31    3 99999  Weighted
## 18601     Sham first 3.706327                31    3 99999  Weighted
## 18603     Sham first 3.740816                31    3 99999  Weighted
## 18605     Sham first 3.775306                31    3 99999  Weighted
## 18607     Sham first 3.809796                31    3 99999  Weighted
## 18609     Sham first 3.844286                31    3 99999  Weighted
## 18611     Sham first 3.878776                31    3 99999  Weighted
## 18613     Sham first 3.913265                31    3 99999  Weighted
## 18615     Sham first 3.947755                31    3 99999  Weighted
## 18617     Sham first 3.982245                31    3 99999  Weighted
## 18619     Sham first 4.016735                31    3 99999  Weighted
## 18621     Sham first 4.051224                31    3 99999  Weighted
## 18623     Sham first 4.085714                31    3 99999  Weighted
## 18625     Sham first 4.120204                31    3 99999  Weighted
## 18627     Sham first 4.154694                31    3 99999  Weighted
## 18629     Sham first 4.189184                31    3 99999  Weighted
## 18631     Sham first 4.223673                31    3 99999  Weighted
## 18633     Sham first 4.258163                31    3 99999  Weighted
## 18635     Sham first 4.292653                31    3 99999  Weighted
## 18637     Sham first 4.327143                31    3 99999  Weighted
## 18639     Sham first 4.361633                31    3 99999  Weighted
## 18641     Sham first 4.396122                31    3 99999  Weighted
## 18643     Sham first 4.430612                31    3 99999  Weighted
## 18645     Sham first 4.465102                31    3 99999  Weighted
## 18647     Sham first 4.499592                31    3 99999  Weighted
## 18649     Sham first 4.534082                31    3 99999  Weighted
## 18651     Sham first 4.568571                31    3 99999  Weighted
## 18653     Sham first 4.603061                31    3 99999  Weighted
## 18655     Sham first 4.637551                31    3 99999  Weighted
## 18657     Sham first 4.672041                31    3 99999  Weighted
## 18659     Sham first 4.706531                31    3 99999  Weighted
## 18661     Sham first 4.741020                31    3 99999  Weighted
## 18663     Sham first 4.775510                31    3 99999  Weighted
## 18665     Sham first 4.810000                31    3 99999  Weighted
## 18667     Sham first 3.965833                32    3 99999  Weighted
## 18669     Sham first 3.120000                32    3 99999  Weighted
## 18671     Sham first 3.154490                32    3 99999  Weighted
## 18673     Sham first 3.188980                32    3 99999  Weighted
## 18675     Sham first 3.223469                32    3 99999  Weighted
## 18677     Sham first 3.257959                32    3 99999  Weighted
## 18679     Sham first 3.292449                32    3 99999  Weighted
## 18681     Sham first 3.326939                32    3 99999  Weighted
## 18683     Sham first 3.361429                32    3 99999  Weighted
## 18685     Sham first 3.395918                32    3 99999  Weighted
## 18687     Sham first 3.430408                32    3 99999  Weighted
## 18689     Sham first 3.464898                32    3 99999  Weighted
## 18691     Sham first 3.499388                32    3 99999  Weighted
## 18693     Sham first 3.533878                32    3 99999  Weighted
## 18695     Sham first 3.568367                32    3 99999  Weighted
## 18697     Sham first 3.602857                32    3 99999  Weighted
## 18699     Sham first 3.637347                32    3 99999  Weighted
## 18701     Sham first 3.671837                32    3 99999  Weighted
## 18703     Sham first 3.706327                32    3 99999  Weighted
## 18705     Sham first 3.740816                32    3 99999  Weighted
## 18707     Sham first 3.775306                32    3 99999  Weighted
## 18709     Sham first 3.809796                32    3 99999  Weighted
## 18711     Sham first 3.844286                32    3 99999  Weighted
## 18713     Sham first 3.878776                32    3 99999  Weighted
## 18715     Sham first 3.913265                32    3 99999  Weighted
## 18717     Sham first 3.947755                32    3 99999  Weighted
## 18719     Sham first 3.982245                32    3 99999  Weighted
## 18721     Sham first 4.016735                32    3 99999  Weighted
## 18723     Sham first 4.051224                32    3 99999  Weighted
## 18725     Sham first 4.085714                32    3 99999  Weighted
## 18727     Sham first 4.120204                32    3 99999  Weighted
## 18729     Sham first 4.154694                32    3 99999  Weighted
## 18731     Sham first 4.189184                32    3 99999  Weighted
## 18733     Sham first 4.223673                32    3 99999  Weighted
## 18735     Sham first 4.258163                32    3 99999  Weighted
## 18737     Sham first 4.292653                32    3 99999  Weighted
## 18739     Sham first 4.327143                32    3 99999  Weighted
## 18741     Sham first 4.361633                32    3 99999  Weighted
## 18743     Sham first 4.396122                32    3 99999  Weighted
## 18745     Sham first 4.430612                32    3 99999  Weighted
## 18747     Sham first 4.465102                32    3 99999  Weighted
## 18749     Sham first 4.499592                32    3 99999  Weighted
## 18751     Sham first 4.534082                32    3 99999  Weighted
## 18753     Sham first 4.568571                32    3 99999  Weighted
## 18755     Sham first 4.603061                32    3 99999  Weighted
## 18757     Sham first 4.637551                32    3 99999  Weighted
## 18759     Sham first 4.672041                32    3 99999  Weighted
## 18761     Sham first 4.706531                32    3 99999  Weighted
## 18763     Sham first 4.741020                32    3 99999  Weighted
## 18765     Sham first 4.775510                32    3 99999  Weighted
## 18767     Sham first 4.810000                32    3 99999  Weighted
## 18769     Sham first 3.965833                33    3 99999  Weighted
## 18771     Sham first 3.120000                33    3 99999  Weighted
## 18773     Sham first 3.154490                33    3 99999  Weighted
## 18775     Sham first 3.188980                33    3 99999  Weighted
## 18777     Sham first 3.223469                33    3 99999  Weighted
## 18779     Sham first 3.257959                33    3 99999  Weighted
## 18781     Sham first 3.292449                33    3 99999  Weighted
## 18783     Sham first 3.326939                33    3 99999  Weighted
## 18785     Sham first 3.361429                33    3 99999  Weighted
## 18787     Sham first 3.395918                33    3 99999  Weighted
## 18789     Sham first 3.430408                33    3 99999  Weighted
## 18791     Sham first 3.464898                33    3 99999  Weighted
## 18793     Sham first 3.499388                33    3 99999  Weighted
## 18795     Sham first 3.533878                33    3 99999  Weighted
## 18797     Sham first 3.568367                33    3 99999  Weighted
## 18799     Sham first 3.602857                33    3 99999  Weighted
## 18801     Sham first 3.637347                33    3 99999  Weighted
## 18803     Sham first 3.671837                33    3 99999  Weighted
## 18805     Sham first 3.706327                33    3 99999  Weighted
## 18807     Sham first 3.740816                33    3 99999  Weighted
## 18809     Sham first 3.775306                33    3 99999  Weighted
## 18811     Sham first 3.809796                33    3 99999  Weighted
## 18813     Sham first 3.844286                33    3 99999  Weighted
## 18815     Sham first 3.878776                33    3 99999  Weighted
## 18817     Sham first 3.913265                33    3 99999  Weighted
## 18819     Sham first 3.947755                33    3 99999  Weighted
## 18821     Sham first 3.982245                33    3 99999  Weighted
## 18823     Sham first 4.016735                33    3 99999  Weighted
## 18825     Sham first 4.051224                33    3 99999  Weighted
## 18827     Sham first 4.085714                33    3 99999  Weighted
## 18829     Sham first 4.120204                33    3 99999  Weighted
## 18831     Sham first 4.154694                33    3 99999  Weighted
## 18833     Sham first 4.189184                33    3 99999  Weighted
## 18835     Sham first 4.223673                33    3 99999  Weighted
## 18837     Sham first 4.258163                33    3 99999  Weighted
## 18839     Sham first 4.292653                33    3 99999  Weighted
## 18841     Sham first 4.327143                33    3 99999  Weighted
## 18843     Sham first 4.361633                33    3 99999  Weighted
## 18845     Sham first 4.396122                33    3 99999  Weighted
## 18847     Sham first 4.430612                33    3 99999  Weighted
## 18849     Sham first 4.465102                33    3 99999  Weighted
## 18851     Sham first 4.499592                33    3 99999  Weighted
## 18853     Sham first 4.534082                33    3 99999  Weighted
## 18855     Sham first 4.568571                33    3 99999  Weighted
## 18857     Sham first 4.603061                33    3 99999  Weighted
## 18859     Sham first 4.637551                33    3 99999  Weighted
## 18861     Sham first 4.672041                33    3 99999  Weighted
## 18863     Sham first 4.706531                33    3 99999  Weighted
## 18865     Sham first 4.741020                33    3 99999  Weighted
## 18867     Sham first 4.775510                33    3 99999  Weighted
## 18869     Sham first 4.810000                33    3 99999  Weighted
## 18871     Sham first 3.965833                34    3 99999  Weighted
## 18873     Sham first 3.120000                34    3 99999  Weighted
## 18875     Sham first 3.154490                34    3 99999  Weighted
## 18877     Sham first 3.188980                34    3 99999  Weighted
## 18879     Sham first 3.223469                34    3 99999  Weighted
## 18881     Sham first 3.257959                34    3 99999  Weighted
## 18883     Sham first 3.292449                34    3 99999  Weighted
## 18885     Sham first 3.326939                34    3 99999  Weighted
## 18887     Sham first 3.361429                34    3 99999  Weighted
## 18889     Sham first 3.395918                34    3 99999  Weighted
## 18891     Sham first 3.430408                34    3 99999  Weighted
## 18893     Sham first 3.464898                34    3 99999  Weighted
## 18895     Sham first 3.499388                34    3 99999  Weighted
## 18897     Sham first 3.533878                34    3 99999  Weighted
## 18899     Sham first 3.568367                34    3 99999  Weighted
## 18901     Sham first 3.602857                34    3 99999  Weighted
## 18903     Sham first 3.637347                34    3 99999  Weighted
## 18905     Sham first 3.671837                34    3 99999  Weighted
## 18907     Sham first 3.706327                34    3 99999  Weighted
## 18909     Sham first 3.740816                34    3 99999  Weighted
## 18911     Sham first 3.775306                34    3 99999  Weighted
## 18913     Sham first 3.809796                34    3 99999  Weighted
## 18915     Sham first 3.844286                34    3 99999  Weighted
## 18917     Sham first 3.878776                34    3 99999  Weighted
## 18919     Sham first 3.913265                34    3 99999  Weighted
## 18921     Sham first 3.947755                34    3 99999  Weighted
## 18923     Sham first 3.982245                34    3 99999  Weighted
## 18925     Sham first 4.016735                34    3 99999  Weighted
## 18927     Sham first 4.051224                34    3 99999  Weighted
## 18929     Sham first 4.085714                34    3 99999  Weighted
## 18931     Sham first 4.120204                34    3 99999  Weighted
## 18933     Sham first 4.154694                34    3 99999  Weighted
## 18935     Sham first 4.189184                34    3 99999  Weighted
## 18937     Sham first 4.223673                34    3 99999  Weighted
## 18939     Sham first 4.258163                34    3 99999  Weighted
## 18941     Sham first 4.292653                34    3 99999  Weighted
## 18943     Sham first 4.327143                34    3 99999  Weighted
## 18945     Sham first 4.361633                34    3 99999  Weighted
## 18947     Sham first 4.396122                34    3 99999  Weighted
## 18949     Sham first 4.430612                34    3 99999  Weighted
## 18951     Sham first 4.465102                34    3 99999  Weighted
## 18953     Sham first 4.499592                34    3 99999  Weighted
## 18955     Sham first 4.534082                34    3 99999  Weighted
## 18957     Sham first 4.568571                34    3 99999  Weighted
## 18959     Sham first 4.603061                34    3 99999  Weighted
## 18961     Sham first 4.637551                34    3 99999  Weighted
## 18963     Sham first 4.672041                34    3 99999  Weighted
## 18965     Sham first 4.706531                34    3 99999  Weighted
## 18967     Sham first 4.741020                34    3 99999  Weighted
## 18969     Sham first 4.775510                34    3 99999  Weighted
## 18971     Sham first 4.810000                34    3 99999  Weighted
## 18973     Sham first 3.965833                35    3 99999  Weighted
## 18975     Sham first 3.120000                35    3 99999  Weighted
## 18977     Sham first 3.154490                35    3 99999  Weighted
## 18979     Sham first 3.188980                35    3 99999  Weighted
## 18981     Sham first 3.223469                35    3 99999  Weighted
## 18983     Sham first 3.257959                35    3 99999  Weighted
## 18985     Sham first 3.292449                35    3 99999  Weighted
## 18987     Sham first 3.326939                35    3 99999  Weighted
## 18989     Sham first 3.361429                35    3 99999  Weighted
## 18991     Sham first 3.395918                35    3 99999  Weighted
## 18993     Sham first 3.430408                35    3 99999  Weighted
## 18995     Sham first 3.464898                35    3 99999  Weighted
## 18997     Sham first 3.499388                35    3 99999  Weighted
## 18999     Sham first 3.533878                35    3 99999  Weighted
## 19001     Sham first 3.568367                35    3 99999  Weighted
## 19003     Sham first 3.602857                35    3 99999  Weighted
## 19005     Sham first 3.637347                35    3 99999  Weighted
## 19007     Sham first 3.671837                35    3 99999  Weighted
## 19009     Sham first 3.706327                35    3 99999  Weighted
## 19011     Sham first 3.740816                35    3 99999  Weighted
## 19013     Sham first 3.775306                35    3 99999  Weighted
## 19015     Sham first 3.809796                35    3 99999  Weighted
## 19017     Sham first 3.844286                35    3 99999  Weighted
## 19019     Sham first 3.878776                35    3 99999  Weighted
## 19021     Sham first 3.913265                35    3 99999  Weighted
## 19023     Sham first 3.947755                35    3 99999  Weighted
## 19025     Sham first 3.982245                35    3 99999  Weighted
## 19027     Sham first 4.016735                35    3 99999  Weighted
## 19029     Sham first 4.051224                35    3 99999  Weighted
## 19031     Sham first 4.085714                35    3 99999  Weighted
## 19033     Sham first 4.120204                35    3 99999  Weighted
## 19035     Sham first 4.154694                35    3 99999  Weighted
## 19037     Sham first 4.189184                35    3 99999  Weighted
## 19039     Sham first 4.223673                35    3 99999  Weighted
## 19041     Sham first 4.258163                35    3 99999  Weighted
## 19043     Sham first 4.292653                35    3 99999  Weighted
## 19045     Sham first 4.327143                35    3 99999  Weighted
## 19047     Sham first 4.361633                35    3 99999  Weighted
## 19049     Sham first 4.396122                35    3 99999  Weighted
## 19051     Sham first 4.430612                35    3 99999  Weighted
## 19053     Sham first 4.465102                35    3 99999  Weighted
## 19055     Sham first 4.499592                35    3 99999  Weighted
## 19057     Sham first 4.534082                35    3 99999  Weighted
## 19059     Sham first 4.568571                35    3 99999  Weighted
## 19061     Sham first 4.603061                35    3 99999  Weighted
## 19063     Sham first 4.637551                35    3 99999  Weighted
## 19065     Sham first 4.672041                35    3 99999  Weighted
## 19067     Sham first 4.706531                35    3 99999  Weighted
## 19069     Sham first 4.741020                35    3 99999  Weighted
## 19071     Sham first 4.775510                35    3 99999  Weighted
## 19073     Sham first 4.810000                35    3 99999  Weighted
## 19075     Sham first 3.965833                36    3 99999  Weighted
## 19077     Sham first 3.120000                36    3 99999  Weighted
## 19079     Sham first 3.154490                36    3 99999  Weighted
## 19081     Sham first 3.188980                36    3 99999  Weighted
## 19083     Sham first 3.223469                36    3 99999  Weighted
## 19085     Sham first 3.257959                36    3 99999  Weighted
## 19087     Sham first 3.292449                36    3 99999  Weighted
## 19089     Sham first 3.326939                36    3 99999  Weighted
## 19091     Sham first 3.361429                36    3 99999  Weighted
## 19093     Sham first 3.395918                36    3 99999  Weighted
## 19095     Sham first 3.430408                36    3 99999  Weighted
## 19097     Sham first 3.464898                36    3 99999  Weighted
## 19099     Sham first 3.499388                36    3 99999  Weighted
## 19101     Sham first 3.533878                36    3 99999  Weighted
## 19103     Sham first 3.568367                36    3 99999  Weighted
## 19105     Sham first 3.602857                36    3 99999  Weighted
## 19107     Sham first 3.637347                36    3 99999  Weighted
## 19109     Sham first 3.671837                36    3 99999  Weighted
## 19111     Sham first 3.706327                36    3 99999  Weighted
## 19113     Sham first 3.740816                36    3 99999  Weighted
## 19115     Sham first 3.775306                36    3 99999  Weighted
## 19117     Sham first 3.809796                36    3 99999  Weighted
## 19119     Sham first 3.844286                36    3 99999  Weighted
## 19121     Sham first 3.878776                36    3 99999  Weighted
## 19123     Sham first 3.913265                36    3 99999  Weighted
## 19125     Sham first 3.947755                36    3 99999  Weighted
## 19127     Sham first 3.982245                36    3 99999  Weighted
## 19129     Sham first 4.016735                36    3 99999  Weighted
## 19131     Sham first 4.051224                36    3 99999  Weighted
## 19133     Sham first 4.085714                36    3 99999  Weighted
## 19135     Sham first 4.120204                36    3 99999  Weighted
## 19137     Sham first 4.154694                36    3 99999  Weighted
## 19139     Sham first 4.189184                36    3 99999  Weighted
## 19141     Sham first 4.223673                36    3 99999  Weighted
## 19143     Sham first 4.258163                36    3 99999  Weighted
## 19145     Sham first 4.292653                36    3 99999  Weighted
## 19147     Sham first 4.327143                36    3 99999  Weighted
## 19149     Sham first 4.361633                36    3 99999  Weighted
## 19151     Sham first 4.396122                36    3 99999  Weighted
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## 19155     Sham first 4.465102                36    3 99999  Weighted
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## 19161     Sham first 4.568571                36    3 99999  Weighted
## 19163     Sham first 4.603061                36    3 99999  Weighted
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## 19167     Sham first 4.672041                36    3 99999  Weighted
## 19169     Sham first 4.706531                36    3 99999  Weighted
## 19171     Sham first 4.741020                36    3 99999  Weighted
## 19173     Sham first 4.775510                36    3 99999  Weighted
## 19175     Sham first 4.810000                36    3 99999  Weighted
## 19177     Sham first 3.965833                37    3 99999  Weighted
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## 19181     Sham first 3.154490                37    3 99999  Weighted
## 19183     Sham first 3.188980                37    3 99999  Weighted
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## 19189     Sham first 3.292449                37    3 99999  Weighted
## 19191     Sham first 3.326939                37    3 99999  Weighted
## 19193     Sham first 3.361429                37    3 99999  Weighted
## 19195     Sham first 3.395918                37    3 99999  Weighted
## 19197     Sham first 3.430408                37    3 99999  Weighted
## 19199     Sham first 3.464898                37    3 99999  Weighted
## 19201     Sham first 3.499388                37    3 99999  Weighted
## 19203     Sham first 3.533878                37    3 99999  Weighted
## 19205     Sham first 3.568367                37    3 99999  Weighted
## 19207     Sham first 3.602857                37    3 99999  Weighted
## 19209     Sham first 3.637347                37    3 99999  Weighted
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## 19215     Sham first 3.740816                37    3 99999  Weighted
## 19217     Sham first 3.775306                37    3 99999  Weighted
## 19219     Sham first 3.809796                37    3 99999  Weighted
## 19221     Sham first 3.844286                37    3 99999  Weighted
## 19223     Sham first 3.878776                37    3 99999  Weighted
## 19225     Sham first 3.913265                37    3 99999  Weighted
## 19227     Sham first 3.947755                37    3 99999  Weighted
## 19229     Sham first 3.982245                37    3 99999  Weighted
## 19231     Sham first 4.016735                37    3 99999  Weighted
## 19233     Sham first 4.051224                37    3 99999  Weighted
## 19235     Sham first 4.085714                37    3 99999  Weighted
## 19237     Sham first 4.120204                37    3 99999  Weighted
## 19239     Sham first 4.154694                37    3 99999  Weighted
## 19241     Sham first 4.189184                37    3 99999  Weighted
## 19243     Sham first 4.223673                37    3 99999  Weighted
## 19245     Sham first 4.258163                37    3 99999  Weighted
## 19247     Sham first 4.292653                37    3 99999  Weighted
## 19249     Sham first 4.327143                37    3 99999  Weighted
## 19251     Sham first 4.361633                37    3 99999  Weighted
## 19253     Sham first 4.396122                37    3 99999  Weighted
## 19255     Sham first 4.430612                37    3 99999  Weighted
## 19257     Sham first 4.465102                37    3 99999  Weighted
## 19259     Sham first 4.499592                37    3 99999  Weighted
## 19261     Sham first 4.534082                37    3 99999  Weighted
## 19263     Sham first 4.568571                37    3 99999  Weighted
## 19265     Sham first 4.603061                37    3 99999  Weighted
## 19267     Sham first 4.637551                37    3 99999  Weighted
## 19269     Sham first 4.672041                37    3 99999  Weighted
## 19271     Sham first 4.706531                37    3 99999  Weighted
## 19273     Sham first 4.741020                37    3 99999  Weighted
## 19275     Sham first 4.775510                37    3 99999  Weighted
## 19277     Sham first 4.810000                37    3 99999  Weighted
## 19279     Sham first 3.965833                38    3 99999  Weighted
## 19281     Sham first 3.120000                38    3 99999  Weighted
## 19283     Sham first 3.154490                38    3 99999  Weighted
## 19285     Sham first 3.188980                38    3 99999  Weighted
## 19287     Sham first 3.223469                38    3 99999  Weighted
## 19289     Sham first 3.257959                38    3 99999  Weighted
## 19291     Sham first 3.292449                38    3 99999  Weighted
## 19293     Sham first 3.326939                38    3 99999  Weighted
## 19295     Sham first 3.361429                38    3 99999  Weighted
## 19297     Sham first 3.395918                38    3 99999  Weighted
## 19299     Sham first 3.430408                38    3 99999  Weighted
## 19301     Sham first 3.464898                38    3 99999  Weighted
## 19303     Sham first 3.499388                38    3 99999  Weighted
## 19305     Sham first 3.533878                38    3 99999  Weighted
## 19307     Sham first 3.568367                38    3 99999  Weighted
## 19309     Sham first 3.602857                38    3 99999  Weighted
## 19311     Sham first 3.637347                38    3 99999  Weighted
## 19313     Sham first 3.671837                38    3 99999  Weighted
## 19315     Sham first 3.706327                38    3 99999  Weighted
## 19317     Sham first 3.740816                38    3 99999  Weighted
## 19319     Sham first 3.775306                38    3 99999  Weighted
## 19321     Sham first 3.809796                38    3 99999  Weighted
## 19323     Sham first 3.844286                38    3 99999  Weighted
## 19325     Sham first 3.878776                38    3 99999  Weighted
## 19327     Sham first 3.913265                38    3 99999  Weighted
## 19329     Sham first 3.947755                38    3 99999  Weighted
## 19331     Sham first 3.982245                38    3 99999  Weighted
## 19333     Sham first 4.016735                38    3 99999  Weighted
## 19335     Sham first 4.051224                38    3 99999  Weighted
## 19337     Sham first 4.085714                38    3 99999  Weighted
## 19339     Sham first 4.120204                38    3 99999  Weighted
## 19341     Sham first 4.154694                38    3 99999  Weighted
## 19343     Sham first 4.189184                38    3 99999  Weighted
## 19345     Sham first 4.223673                38    3 99999  Weighted
## 19347     Sham first 4.258163                38    3 99999  Weighted
## 19349     Sham first 4.292653                38    3 99999  Weighted
## 19351     Sham first 4.327143                38    3 99999  Weighted
## 19353     Sham first 4.361633                38    3 99999  Weighted
## 19355     Sham first 4.396122                38    3 99999  Weighted
## 19357     Sham first 4.430612                38    3 99999  Weighted
## 19359     Sham first 4.465102                38    3 99999  Weighted
## 19361     Sham first 4.499592                38    3 99999  Weighted
## 19363     Sham first 4.534082                38    3 99999  Weighted
## 19365     Sham first 4.568571                38    3 99999  Weighted
## 19367     Sham first 4.603061                38    3 99999  Weighted
## 19369     Sham first 4.637551                38    3 99999  Weighted
## 19371     Sham first 4.672041                38    3 99999  Weighted
## 19373     Sham first 4.706531                38    3 99999  Weighted
## 19375     Sham first 4.741020                38    3 99999  Weighted
## 19377     Sham first 4.775510                38    3 99999  Weighted
## 19379     Sham first 4.810000                38    3 99999  Weighted
## 19381     Sham first 3.965833                39    3 99999  Weighted
## 19383     Sham first 3.120000                39    3 99999  Weighted
## 19385     Sham first 3.154490                39    3 99999  Weighted
## 19387     Sham first 3.188980                39    3 99999  Weighted
## 19389     Sham first 3.223469                39    3 99999  Weighted
## 19391     Sham first 3.257959                39    3 99999  Weighted
## 19393     Sham first 3.292449                39    3 99999  Weighted
## 19395     Sham first 3.326939                39    3 99999  Weighted
## 19397     Sham first 3.361429                39    3 99999  Weighted
## 19399     Sham first 3.395918                39    3 99999  Weighted
## 19401     Sham first 3.430408                39    3 99999  Weighted
## 19403     Sham first 3.464898                39    3 99999  Weighted
## 19405     Sham first 3.499388                39    3 99999  Weighted
## 19407     Sham first 3.533878                39    3 99999  Weighted
## 19409     Sham first 3.568367                39    3 99999  Weighted
## 19411     Sham first 3.602857                39    3 99999  Weighted
## 19413     Sham first 3.637347                39    3 99999  Weighted
## 19415     Sham first 3.671837                39    3 99999  Weighted
## 19417     Sham first 3.706327                39    3 99999  Weighted
## 19419     Sham first 3.740816                39    3 99999  Weighted
## 19421     Sham first 3.775306                39    3 99999  Weighted
## 19423     Sham first 3.809796                39    3 99999  Weighted
## 19425     Sham first 3.844286                39    3 99999  Weighted
## 19427     Sham first 3.878776                39    3 99999  Weighted
## 19429     Sham first 3.913265                39    3 99999  Weighted
## 19431     Sham first 3.947755                39    3 99999  Weighted
## 19433     Sham first 3.982245                39    3 99999  Weighted
## 19435     Sham first 4.016735                39    3 99999  Weighted
## 19437     Sham first 4.051224                39    3 99999  Weighted
## 19439     Sham first 4.085714                39    3 99999  Weighted
## 19441     Sham first 4.120204                39    3 99999  Weighted
## 19443     Sham first 4.154694                39    3 99999  Weighted
## 19445     Sham first 4.189184                39    3 99999  Weighted
## 19447     Sham first 4.223673                39    3 99999  Weighted
## 19449     Sham first 4.258163                39    3 99999  Weighted
## 19451     Sham first 4.292653                39    3 99999  Weighted
## 19453     Sham first 4.327143                39    3 99999  Weighted
## 19455     Sham first 4.361633                39    3 99999  Weighted
## 19457     Sham first 4.396122                39    3 99999  Weighted
## 19459     Sham first 4.430612                39    3 99999  Weighted
## 19461     Sham first 4.465102                39    3 99999  Weighted
## 19463     Sham first 4.499592                39    3 99999  Weighted
## 19465     Sham first 4.534082                39    3 99999  Weighted
## 19467     Sham first 4.568571                39    3 99999  Weighted
## 19469     Sham first 4.603061                39    3 99999  Weighted
## 19471     Sham first 4.637551                39    3 99999  Weighted
## 19473     Sham first 4.672041                39    3 99999  Weighted
## 19475     Sham first 4.706531                39    3 99999  Weighted
## 19477     Sham first 4.741020                39    3 99999  Weighted
## 19479     Sham first 4.775510                39    3 99999  Weighted
## 19481     Sham first 4.810000                39    3 99999  Weighted
## 19483     Sham first 3.965833                40    3 99999  Weighted
## 19485     Sham first 3.120000                40    3 99999  Weighted
## 19487     Sham first 3.154490                40    3 99999  Weighted
## 19489     Sham first 3.188980                40    3 99999  Weighted
## 19491     Sham first 3.223469                40    3 99999  Weighted
## 19493     Sham first 3.257959                40    3 99999  Weighted
## 19495     Sham first 3.292449                40    3 99999  Weighted
## 19497     Sham first 3.326939                40    3 99999  Weighted
## 19499     Sham first 3.361429                40    3 99999  Weighted
## 19501     Sham first 3.395918                40    3 99999  Weighted
## 19503     Sham first 3.430408                40    3 99999  Weighted
## 19505     Sham first 3.464898                40    3 99999  Weighted
## 19507     Sham first 3.499388                40    3 99999  Weighted
## 19509     Sham first 3.533878                40    3 99999  Weighted
## 19511     Sham first 3.568367                40    3 99999  Weighted
## 19513     Sham first 3.602857                40    3 99999  Weighted
## 19515     Sham first 3.637347                40    3 99999  Weighted
## 19517     Sham first 3.671837                40    3 99999  Weighted
## 19519     Sham first 3.706327                40    3 99999  Weighted
## 19521     Sham first 3.740816                40    3 99999  Weighted
## 19523     Sham first 3.775306                40    3 99999  Weighted
## 19525     Sham first 3.809796                40    3 99999  Weighted
## 19527     Sham first 3.844286                40    3 99999  Weighted
## 19529     Sham first 3.878776                40    3 99999  Weighted
## 19531     Sham first 3.913265                40    3 99999  Weighted
## 19533     Sham first 3.947755                40    3 99999  Weighted
## 19535     Sham first 3.982245                40    3 99999  Weighted
## 19537     Sham first 4.016735                40    3 99999  Weighted
## 19539     Sham first 4.051224                40    3 99999  Weighted
## 19541     Sham first 4.085714                40    3 99999  Weighted
## 19543     Sham first 4.120204                40    3 99999  Weighted
## 19545     Sham first 4.154694                40    3 99999  Weighted
## 19547     Sham first 4.189184                40    3 99999  Weighted
## 19549     Sham first 4.223673                40    3 99999  Weighted
## 19551     Sham first 4.258163                40    3 99999  Weighted
## 19553     Sham first 4.292653                40    3 99999  Weighted
## 19555     Sham first 4.327143                40    3 99999  Weighted
## 19557     Sham first 4.361633                40    3 99999  Weighted
## 19559     Sham first 4.396122                40    3 99999  Weighted
## 19561     Sham first 4.430612                40    3 99999  Weighted
## 19563     Sham first 4.465102                40    3 99999  Weighted
## 19565     Sham first 4.499592                40    3 99999  Weighted
## 19567     Sham first 4.534082                40    3 99999  Weighted
## 19569     Sham first 4.568571                40    3 99999  Weighted
## 19571     Sham first 4.603061                40    3 99999  Weighted
## 19573     Sham first 4.637551                40    3 99999  Weighted
## 19575     Sham first 4.672041                40    3 99999  Weighted
## 19577     Sham first 4.706531                40    3 99999  Weighted
## 19579     Sham first 4.741020                40    3 99999  Weighted
## 19581     Sham first 4.775510                40    3 99999  Weighted
## 19583     Sham first 4.810000                40    3 99999  Weighted
## 19585     Sham first 3.965833                41    3 99999  Weighted
## 19587     Sham first 3.120000                41    3 99999  Weighted
## 19589     Sham first 3.154490                41    3 99999  Weighted
## 19591     Sham first 3.188980                41    3 99999  Weighted
## 19593     Sham first 3.223469                41    3 99999  Weighted
## 19595     Sham first 3.257959                41    3 99999  Weighted
## 19597     Sham first 3.292449                41    3 99999  Weighted
## 19599     Sham first 3.326939                41    3 99999  Weighted
## 19601     Sham first 3.361429                41    3 99999  Weighted
## 19603     Sham first 3.395918                41    3 99999  Weighted
## 19605     Sham first 3.430408                41    3 99999  Weighted
## 19607     Sham first 3.464898                41    3 99999  Weighted
## 19609     Sham first 3.499388                41    3 99999  Weighted
## 19611     Sham first 3.533878                41    3 99999  Weighted
## 19613     Sham first 3.568367                41    3 99999  Weighted
## 19615     Sham first 3.602857                41    3 99999  Weighted
## 19617     Sham first 3.637347                41    3 99999  Weighted
## 19619     Sham first 3.671837                41    3 99999  Weighted
## 19621     Sham first 3.706327                41    3 99999  Weighted
## 19623     Sham first 3.740816                41    3 99999  Weighted
## 19625     Sham first 3.775306                41    3 99999  Weighted
## 19627     Sham first 3.809796                41    3 99999  Weighted
## 19629     Sham first 3.844286                41    3 99999  Weighted
## 19631     Sham first 3.878776                41    3 99999  Weighted
## 19633     Sham first 3.913265                41    3 99999  Weighted
## 19635     Sham first 3.947755                41    3 99999  Weighted
## 19637     Sham first 3.982245                41    3 99999  Weighted
## 19639     Sham first 4.016735                41    3 99999  Weighted
## 19641     Sham first 4.051224                41    3 99999  Weighted
## 19643     Sham first 4.085714                41    3 99999  Weighted
## 19645     Sham first 4.120204                41    3 99999  Weighted
## 19647     Sham first 4.154694                41    3 99999  Weighted
## 19649     Sham first 4.189184                41    3 99999  Weighted
## 19651     Sham first 4.223673                41    3 99999  Weighted
## 19653     Sham first 4.258163                41    3 99999  Weighted
## 19655     Sham first 4.292653                41    3 99999  Weighted
## 19657     Sham first 4.327143                41    3 99999  Weighted
## 19659     Sham first 4.361633                41    3 99999  Weighted
## 19661     Sham first 4.396122                41    3 99999  Weighted
## 19663     Sham first 4.430612                41    3 99999  Weighted
## 19665     Sham first 4.465102                41    3 99999  Weighted
## 19667     Sham first 4.499592                41    3 99999  Weighted
## 19669     Sham first 4.534082                41    3 99999  Weighted
## 19671     Sham first 4.568571                41    3 99999  Weighted
## 19673     Sham first 4.603061                41    3 99999  Weighted
## 19675     Sham first 4.637551                41    3 99999  Weighted
## 19677     Sham first 4.672041                41    3 99999  Weighted
## 19679     Sham first 4.706531                41    3 99999  Weighted
## 19681     Sham first 4.741020                41    3 99999  Weighted
## 19683     Sham first 4.775510                41    3 99999  Weighted
## 19685     Sham first 4.810000                41    3 99999  Weighted
## 19687     Sham first 3.965833                42    3 99999  Weighted
## 19689     Sham first 3.120000                42    3 99999  Weighted
## 19691     Sham first 3.154490                42    3 99999  Weighted
## 19693     Sham first 3.188980                42    3 99999  Weighted
## 19695     Sham first 3.223469                42    3 99999  Weighted
## 19697     Sham first 3.257959                42    3 99999  Weighted
## 19699     Sham first 3.292449                42    3 99999  Weighted
## 19701     Sham first 3.326939                42    3 99999  Weighted
## 19703     Sham first 3.361429                42    3 99999  Weighted
## 19705     Sham first 3.395918                42    3 99999  Weighted
## 19707     Sham first 3.430408                42    3 99999  Weighted
## 19709     Sham first 3.464898                42    3 99999  Weighted
## 19711     Sham first 3.499388                42    3 99999  Weighted
## 19713     Sham first 3.533878                42    3 99999  Weighted
## 19715     Sham first 3.568367                42    3 99999  Weighted
## 19717     Sham first 3.602857                42    3 99999  Weighted
## 19719     Sham first 3.637347                42    3 99999  Weighted
## 19721     Sham first 3.671837                42    3 99999  Weighted
## 19723     Sham first 3.706327                42    3 99999  Weighted
## 19725     Sham first 3.740816                42    3 99999  Weighted
## 19727     Sham first 3.775306                42    3 99999  Weighted
## 19729     Sham first 3.809796                42    3 99999  Weighted
## 19731     Sham first 3.844286                42    3 99999  Weighted
## 19733     Sham first 3.878776                42    3 99999  Weighted
## 19735     Sham first 3.913265                42    3 99999  Weighted
## 19737     Sham first 3.947755                42    3 99999  Weighted
## 19739     Sham first 3.982245                42    3 99999  Weighted
## 19741     Sham first 4.016735                42    3 99999  Weighted
## 19743     Sham first 4.051224                42    3 99999  Weighted
## 19745     Sham first 4.085714                42    3 99999  Weighted
## 19747     Sham first 4.120204                42    3 99999  Weighted
## 19749     Sham first 4.154694                42    3 99999  Weighted
## 19751     Sham first 4.189184                42    3 99999  Weighted
## 19753     Sham first 4.223673                42    3 99999  Weighted
## 19755     Sham first 4.258163                42    3 99999  Weighted
## 19757     Sham first 4.292653                42    3 99999  Weighted
## 19759     Sham first 4.327143                42    3 99999  Weighted
## 19761     Sham first 4.361633                42    3 99999  Weighted
## 19763     Sham first 4.396122                42    3 99999  Weighted
## 19765     Sham first 4.430612                42    3 99999  Weighted
## 19767     Sham first 4.465102                42    3 99999  Weighted
## 19769     Sham first 4.499592                42    3 99999  Weighted
## 19771     Sham first 4.534082                42    3 99999  Weighted
## 19773     Sham first 4.568571                42    3 99999  Weighted
## 19775     Sham first 4.603061                42    3 99999  Weighted
## 19777     Sham first 4.637551                42    3 99999  Weighted
## 19779     Sham first 4.672041                42    3 99999  Weighted
## 19781     Sham first 4.706531                42    3 99999  Weighted
## 19783     Sham first 4.741020                42    3 99999  Weighted
## 19785     Sham first 4.775510                42    3 99999  Weighted
## 19787     Sham first 4.810000                42    3 99999  Weighted
## 19789     Sham first 3.965833                43    3 99999  Weighted
## 19791     Sham first 3.120000                43    3 99999  Weighted
## 19793     Sham first 3.154490                43    3 99999  Weighted
## 19795     Sham first 3.188980                43    3 99999  Weighted
## 19797     Sham first 3.223469                43    3 99999  Weighted
## 19799     Sham first 3.257959                43    3 99999  Weighted
## 19801     Sham first 3.292449                43    3 99999  Weighted
## 19803     Sham first 3.326939                43    3 99999  Weighted
## 19805     Sham first 3.361429                43    3 99999  Weighted
## 19807     Sham first 3.395918                43    3 99999  Weighted
## 19809     Sham first 3.430408                43    3 99999  Weighted
## 19811     Sham first 3.464898                43    3 99999  Weighted
## 19813     Sham first 3.499388                43    3 99999  Weighted
## 19815     Sham first 3.533878                43    3 99999  Weighted
## 19817     Sham first 3.568367                43    3 99999  Weighted
## 19819     Sham first 3.602857                43    3 99999  Weighted
## 19821     Sham first 3.637347                43    3 99999  Weighted
## 19823     Sham first 3.671837                43    3 99999  Weighted
## 19825     Sham first 3.706327                43    3 99999  Weighted
## 19827     Sham first 3.740816                43    3 99999  Weighted
## 19829     Sham first 3.775306                43    3 99999  Weighted
## 19831     Sham first 3.809796                43    3 99999  Weighted
## 19833     Sham first 3.844286                43    3 99999  Weighted
## 19835     Sham first 3.878776                43    3 99999  Weighted
## 19837     Sham first 3.913265                43    3 99999  Weighted
## 19839     Sham first 3.947755                43    3 99999  Weighted
## 19841     Sham first 3.982245                43    3 99999  Weighted
## 19843     Sham first 4.016735                43    3 99999  Weighted
## 19845     Sham first 4.051224                43    3 99999  Weighted
## 19847     Sham first 4.085714                43    3 99999  Weighted
## 19849     Sham first 4.120204                43    3 99999  Weighted
## 19851     Sham first 4.154694                43    3 99999  Weighted
## 19853     Sham first 4.189184                43    3 99999  Weighted
## 19855     Sham first 4.223673                43    3 99999  Weighted
## 19857     Sham first 4.258163                43    3 99999  Weighted
## 19859     Sham first 4.292653                43    3 99999  Weighted
## 19861     Sham first 4.327143                43    3 99999  Weighted
## 19863     Sham first 4.361633                43    3 99999  Weighted
## 19865     Sham first 4.396122                43    3 99999  Weighted
## 19867     Sham first 4.430612                43    3 99999  Weighted
## 19869     Sham first 4.465102                43    3 99999  Weighted
## 19871     Sham first 4.499592                43    3 99999  Weighted
## 19873     Sham first 4.534082                43    3 99999  Weighted
## 19875     Sham first 4.568571                43    3 99999  Weighted
## 19877     Sham first 4.603061                43    3 99999  Weighted
## 19879     Sham first 4.637551                43    3 99999  Weighted
## 19881     Sham first 4.672041                43    3 99999  Weighted
## 19883     Sham first 4.706531                43    3 99999  Weighted
## 19885     Sham first 4.741020                43    3 99999  Weighted
## 19887     Sham first 4.775510                43    3 99999  Weighted
## 19889     Sham first 4.810000                43    3 99999  Weighted
## 19891     Sham first 3.965833                44    3 99999  Weighted
## 19893     Sham first 3.120000                44    3 99999  Weighted
## 19895     Sham first 3.154490                44    3 99999  Weighted
## 19897     Sham first 3.188980                44    3 99999  Weighted
## 19899     Sham first 3.223469                44    3 99999  Weighted
## 19901     Sham first 3.257959                44    3 99999  Weighted
## 19903     Sham first 3.292449                44    3 99999  Weighted
## 19905     Sham first 3.326939                44    3 99999  Weighted
## 19907     Sham first 3.361429                44    3 99999  Weighted
## 19909     Sham first 3.395918                44    3 99999  Weighted
## 19911     Sham first 3.430408                44    3 99999  Weighted
## 19913     Sham first 3.464898                44    3 99999  Weighted
## 19915     Sham first 3.499388                44    3 99999  Weighted
## 19917     Sham first 3.533878                44    3 99999  Weighted
## 19919     Sham first 3.568367                44    3 99999  Weighted
## 19921     Sham first 3.602857                44    3 99999  Weighted
## 19923     Sham first 3.637347                44    3 99999  Weighted
## 19925     Sham first 3.671837                44    3 99999  Weighted
## 19927     Sham first 3.706327                44    3 99999  Weighted
## 19929     Sham first 3.740816                44    3 99999  Weighted
## 19931     Sham first 3.775306                44    3 99999  Weighted
## 19933     Sham first 3.809796                44    3 99999  Weighted
## 19935     Sham first 3.844286                44    3 99999  Weighted
## 19937     Sham first 3.878776                44    3 99999  Weighted
## 19939     Sham first 3.913265                44    3 99999  Weighted
## 19941     Sham first 3.947755                44    3 99999  Weighted
## 19943     Sham first 3.982245                44    3 99999  Weighted
## 19945     Sham first 4.016735                44    3 99999  Weighted
## 19947     Sham first 4.051224                44    3 99999  Weighted
## 19949     Sham first 4.085714                44    3 99999  Weighted
## 19951     Sham first 4.120204                44    3 99999  Weighted
## 19953     Sham first 4.154694                44    3 99999  Weighted
## 19955     Sham first 4.189184                44    3 99999  Weighted
## 19957     Sham first 4.223673                44    3 99999  Weighted
## 19959     Sham first 4.258163                44    3 99999  Weighted
## 19961     Sham first 4.292653                44    3 99999  Weighted
## 19963     Sham first 4.327143                44    3 99999  Weighted
## 19965     Sham first 4.361633                44    3 99999  Weighted
## 19967     Sham first 4.396122                44    3 99999  Weighted
## 19969     Sham first 4.430612                44    3 99999  Weighted
## 19971     Sham first 4.465102                44    3 99999  Weighted
## 19973     Sham first 4.499592                44    3 99999  Weighted
## 19975     Sham first 4.534082                44    3 99999  Weighted
## 19977     Sham first 4.568571                44    3 99999  Weighted
## 19979     Sham first 4.603061                44    3 99999  Weighted
## 19981     Sham first 4.637551                44    3 99999  Weighted
## 19983     Sham first 4.672041                44    3 99999  Weighted
## 19985     Sham first 4.706531                44    3 99999  Weighted
## 19987     Sham first 4.741020                44    3 99999  Weighted
## 19989     Sham first 4.775510                44    3 99999  Weighted
## 19991     Sham first 4.810000                44    3 99999  Weighted
## 19993     Sham first 3.965833                45    3 99999  Weighted
## 19995     Sham first 3.120000                45    3 99999  Weighted
## 19997     Sham first 3.154490                45    3 99999  Weighted
## 19999     Sham first 3.188980                45    3 99999  Weighted
## 20001     Sham first 3.223469                45    3 99999  Weighted
## 20003     Sham first 3.257959                45    3 99999  Weighted
## 20005     Sham first 3.292449                45    3 99999  Weighted
## 20007     Sham first 3.326939                45    3 99999  Weighted
## 20009     Sham first 3.361429                45    3 99999  Weighted
## 20011     Sham first 3.395918                45    3 99999  Weighted
## 20013     Sham first 3.430408                45    3 99999  Weighted
## 20015     Sham first 3.464898                45    3 99999  Weighted
## 20017     Sham first 3.499388                45    3 99999  Weighted
## 20019     Sham first 3.533878                45    3 99999  Weighted
## 20021     Sham first 3.568367                45    3 99999  Weighted
## 20023     Sham first 3.602857                45    3 99999  Weighted
## 20025     Sham first 3.637347                45    3 99999  Weighted
## 20027     Sham first 3.671837                45    3 99999  Weighted
## 20029     Sham first 3.706327                45    3 99999  Weighted
## 20031     Sham first 3.740816                45    3 99999  Weighted
## 20033     Sham first 3.775306                45    3 99999  Weighted
## 20035     Sham first 3.809796                45    3 99999  Weighted
## 20037     Sham first 3.844286                45    3 99999  Weighted
## 20039     Sham first 3.878776                45    3 99999  Weighted
## 20041     Sham first 3.913265                45    3 99999  Weighted
## 20043     Sham first 3.947755                45    3 99999  Weighted
## 20045     Sham first 3.982245                45    3 99999  Weighted
## 20047     Sham first 4.016735                45    3 99999  Weighted
## 20049     Sham first 4.051224                45    3 99999  Weighted
## 20051     Sham first 4.085714                45    3 99999  Weighted
## 20053     Sham first 4.120204                45    3 99999  Weighted
## 20055     Sham first 4.154694                45    3 99999  Weighted
## 20057     Sham first 4.189184                45    3 99999  Weighted
## 20059     Sham first 4.223673                45    3 99999  Weighted
## 20061     Sham first 4.258163                45    3 99999  Weighted
## 20063     Sham first 4.292653                45    3 99999  Weighted
## 20065     Sham first 4.327143                45    3 99999  Weighted
## 20067     Sham first 4.361633                45    3 99999  Weighted
## 20069     Sham first 4.396122                45    3 99999  Weighted
## 20071     Sham first 4.430612                45    3 99999  Weighted
## 20073     Sham first 4.465102                45    3 99999  Weighted
## 20075     Sham first 4.499592                45    3 99999  Weighted
## 20077     Sham first 4.534082                45    3 99999  Weighted
## 20079     Sham first 4.568571                45    3 99999  Weighted
## 20081     Sham first 4.603061                45    3 99999  Weighted
## 20083     Sham first 4.637551                45    3 99999  Weighted
## 20085     Sham first 4.672041                45    3 99999  Weighted
## 20087     Sham first 4.706531                45    3 99999  Weighted
## 20089     Sham first 4.741020                45    3 99999  Weighted
## 20091     Sham first 4.775510                45    3 99999  Weighted
## 20093     Sham first 4.810000                45    3 99999  Weighted
## 20095     Sham first 3.965833                46    3 99999  Weighted
## 20097     Sham first 3.120000                46    3 99999  Weighted
## 20099     Sham first 3.154490                46    3 99999  Weighted
## 20101     Sham first 3.188980                46    3 99999  Weighted
## 20103     Sham first 3.223469                46    3 99999  Weighted
## 20105     Sham first 3.257959                46    3 99999  Weighted
## 20107     Sham first 3.292449                46    3 99999  Weighted
## 20109     Sham first 3.326939                46    3 99999  Weighted
## 20111     Sham first 3.361429                46    3 99999  Weighted
## 20113     Sham first 3.395918                46    3 99999  Weighted
## 20115     Sham first 3.430408                46    3 99999  Weighted
## 20117     Sham first 3.464898                46    3 99999  Weighted
## 20119     Sham first 3.499388                46    3 99999  Weighted
## 20121     Sham first 3.533878                46    3 99999  Weighted
## 20123     Sham first 3.568367                46    3 99999  Weighted
## 20125     Sham first 3.602857                46    3 99999  Weighted
## 20127     Sham first 3.637347                46    3 99999  Weighted
## 20129     Sham first 3.671837                46    3 99999  Weighted
## 20131     Sham first 3.706327                46    3 99999  Weighted
## 20133     Sham first 3.740816                46    3 99999  Weighted
## 20135     Sham first 3.775306                46    3 99999  Weighted
## 20137     Sham first 3.809796                46    3 99999  Weighted
## 20139     Sham first 3.844286                46    3 99999  Weighted
## 20141     Sham first 3.878776                46    3 99999  Weighted
## 20143     Sham first 3.913265                46    3 99999  Weighted
## 20145     Sham first 3.947755                46    3 99999  Weighted
## 20147     Sham first 3.982245                46    3 99999  Weighted
## 20149     Sham first 4.016735                46    3 99999  Weighted
## 20151     Sham first 4.051224                46    3 99999  Weighted
## 20153     Sham first 4.085714                46    3 99999  Weighted
## 20155     Sham first 4.120204                46    3 99999  Weighted
## 20157     Sham first 4.154694                46    3 99999  Weighted
## 20159     Sham first 4.189184                46    3 99999  Weighted
## 20161     Sham first 4.223673                46    3 99999  Weighted
## 20163     Sham first 4.258163                46    3 99999  Weighted
## 20165     Sham first 4.292653                46    3 99999  Weighted
## 20167     Sham first 4.327143                46    3 99999  Weighted
## 20169     Sham first 4.361633                46    3 99999  Weighted
## 20171     Sham first 4.396122                46    3 99999  Weighted
## 20173     Sham first 4.430612                46    3 99999  Weighted
## 20175     Sham first 4.465102                46    3 99999  Weighted
## 20177     Sham first 4.499592                46    3 99999  Weighted
## 20179     Sham first 4.534082                46    3 99999  Weighted
## 20181     Sham first 4.568571                46    3 99999  Weighted
## 20183     Sham first 4.603061                46    3 99999  Weighted
## 20185     Sham first 4.637551                46    3 99999  Weighted
## 20187     Sham first 4.672041                46    3 99999  Weighted
## 20189     Sham first 4.706531                46    3 99999  Weighted
## 20191     Sham first 4.741020                46    3 99999  Weighted
## 20193     Sham first 4.775510                46    3 99999  Weighted
## 20195     Sham first 4.810000                46    3 99999  Weighted
## 20197     Sham first 3.965833                47    3 99999  Weighted
## 20199     Sham first 3.120000                47    3 99999  Weighted
## 20201     Sham first 3.154490                47    3 99999  Weighted
##       amp_acc       blo      bhi  predMean
## 1           0 15.786755 19.11063 17.375143
## 3           0 12.747529 21.42297 16.563946
## 5           0 12.898402 21.27276 16.596271
## 7           0 13.044637 21.12472 16.628659
## 9           0 13.204147 20.96679 16.661109
## 11          0 13.360318 20.82495 16.693623
## 13          0 13.509710 20.69745 16.726201
## 15          0 13.658756 20.55649 16.758842
## 17          0 13.806695 20.41322 16.791547
## 19          0 13.953304 20.27007 16.824316
## 21          0 14.098045 20.13669 16.857148
## 23          0 14.248390 20.03043 16.890045
## 25          0 14.391244 19.92344 16.923006
## 27          0 14.534965 19.81665 16.956031
## 29          0 14.674231 19.71432 16.989120
## 31          0 14.801743 19.59719 17.022275
## 33          0 14.939533 19.48632 17.055494
## 35          0 15.068288 19.38951 17.088777
## 37          0 15.188868 19.29975 17.122126
## 39          0 15.301153 19.23375 17.155540
## 41          0 15.415208 19.14678 17.189019
## 43          0 15.510783 19.11594 17.222563
## 45          0 15.594977 19.07619 17.256173
## 47          0 15.666168 19.07005 17.289848
## 49          0 15.727019 19.06893 17.323589
## 51          0 15.774818 19.08666 17.357396
## 53          0 15.800921 19.13637 17.391269
## 55          0 15.808482 19.19543 17.425208
## 57          0 15.813018 19.26397 17.459213
## 59          0 15.784327 19.36724 17.493285
## 61          0 15.759337 19.48890 17.527423
## 63          0 15.722763 19.60425 17.561628
## 65          0 15.665611 19.75859 17.595899
## 67          0 15.599953 19.91694 17.630238
## 69          0 15.517456 20.08118 17.664643
## 71          0 15.446045 20.23426 17.699115
## 73          0 15.356553 20.41402 17.733655
## 75          0 15.273920 20.61788 17.768262
## 77          0 15.179424 20.80965 17.802937
## 79          0 15.076522 21.02060 17.837679
## 81          0 14.979612 21.25003 17.872490
## 83          0 14.871893 21.47613 17.907368
## 85          0 14.770738 21.72285 17.942314
## 87          0 14.670429 21.93441 17.977328
## 89          0 14.559271 22.17627 18.012411
## 91          0 14.456782 22.41026 18.047562
## 93          0 14.354868 22.69217 18.082782
## 95          0 14.262584 22.94351 18.118070
## 97          0 14.167677 23.19956 18.153428
## 99          0 14.075860 23.46347 18.188854
## 101         0 13.981751 23.71705 18.224349
## 103         0 15.786755 19.11063 17.375143
## 105         0 12.747529 21.42297 16.563946
## 107         0 12.898402 21.27276 16.596271
## 109         0 13.044637 21.12472 16.628659
## 111         0 13.204147 20.96679 16.661109
## 113         0 13.360318 20.82495 16.693623
## 115         0 13.509710 20.69745 16.726201
## 117         0 13.658756 20.55649 16.758842
## 119         0 13.806695 20.41322 16.791547
## 121         0 13.953304 20.27007 16.824316
## 123         0 14.098045 20.13669 16.857148
## 125         0 14.248390 20.03043 16.890045
## 127         0 14.391244 19.92344 16.923006
## 129         0 14.534965 19.81665 16.956031
## 131         0 14.674231 19.71432 16.989120
## 133         0 14.801743 19.59719 17.022275
## 135         0 14.939533 19.48632 17.055494
## 137         0 15.068288 19.38951 17.088777
## 139         0 15.188868 19.29975 17.122126
## 141         0 15.301153 19.23375 17.155540
## 143         0 15.415208 19.14678 17.189019
## 145         0 15.510783 19.11594 17.222563
## 147         0 15.594977 19.07619 17.256173
## 149         0 15.666168 19.07005 17.289848
## 151         0 15.727019 19.06893 17.323589
## 153         0 15.774818 19.08666 17.357396
## 155         0 15.800921 19.13637 17.391269
## 157         0 15.808482 19.19543 17.425208
## 159         0 15.813018 19.26397 17.459213
## 161         0 15.784327 19.36724 17.493285
## 163         0 15.759337 19.48890 17.527423
## 165         0 15.722763 19.60425 17.561628
## 167         0 15.665611 19.75859 17.595899
## 169         0 15.599953 19.91694 17.630238
## 171         0 15.517456 20.08118 17.664643
## 173         0 15.446045 20.23426 17.699115
## 175         0 15.356553 20.41402 17.733655
## 177         0 15.273920 20.61788 17.768262
## 179         0 15.179424 20.80965 17.802937
## 181         0 15.076522 21.02060 17.837679
## 183         0 14.979612 21.25003 17.872490
## 185         0 14.871893 21.47613 17.907368
## 187         0 14.770738 21.72285 17.942314
## 189         0 14.670429 21.93441 17.977328
## 191         0 14.559271 22.17627 18.012411
## 193         0 14.456782 22.41026 18.047562
## 195         0 14.354868 22.69217 18.082782
## 197         0 14.262584 22.94351 18.118070
## 199         0 14.167677 23.19956 18.153428
## 201         0 14.075860 23.46347 18.188854
## 203         0 13.981751 23.71705 18.224349
## 205         0 15.786755 19.11063 17.375143
## 207         0 12.747529 21.42297 16.563946
## 209         0 12.898402 21.27276 16.596271
## 211         0 13.044637 21.12472 16.628659
## 213         0 13.204147 20.96679 16.661109
## 215         0 13.360318 20.82495 16.693623
## 217         0 13.509710 20.69745 16.726201
## 219         0 13.658756 20.55649 16.758842
## 221         0 13.806695 20.41322 16.791547
## 223         0 13.953304 20.27007 16.824316
## 225         0 14.098045 20.13669 16.857148
## 227         0 14.248390 20.03043 16.890045
## 229         0 14.391244 19.92344 16.923006
## 231         0 14.534965 19.81665 16.956031
## 233         0 14.674231 19.71432 16.989120
## 235         0 14.801743 19.59719 17.022275
## 237         0 14.939533 19.48632 17.055494
## 239         0 15.068288 19.38951 17.088777
## 241         0 15.188868 19.29975 17.122126
## 243         0 15.301153 19.23375 17.155540
## 245         0 15.415208 19.14678 17.189019
## 247         0 15.510783 19.11594 17.222563
## 249         0 15.594977 19.07619 17.256173
## 251         0 15.666168 19.07005 17.289848
## 253         0 15.727019 19.06893 17.323589
## 255         0 15.774818 19.08666 17.357396
## 257         0 15.800921 19.13637 17.391269
## 259         0 15.808482 19.19543 17.425208
## 261         0 15.813018 19.26397 17.459213
## 263         0 15.784327 19.36724 17.493285
## 265         0 15.759337 19.48890 17.527423
## 267         0 15.722763 19.60425 17.561628
## 269         0 15.665611 19.75859 17.595899
## 271         0 15.599953 19.91694 17.630238
## 273         0 15.517456 20.08118 17.664643
## 275         0 15.446045 20.23426 17.699115
## 277         0 15.356553 20.41402 17.733655
## 279         0 15.273920 20.61788 17.768262
## 281         0 15.179424 20.80965 17.802937
## 283         0 15.076522 21.02060 17.837679
## 285         0 14.979612 21.25003 17.872490
## 287         0 14.871893 21.47613 17.907368
## 289         0 14.770738 21.72285 17.942314
## 291         0 14.670429 21.93441 17.977328
## 293         0 14.559271 22.17627 18.012411
## 295         0 14.456782 22.41026 18.047562
## 297         0 14.354868 22.69217 18.082782
## 299         0 14.262584 22.94351 18.118070
## 301         0 14.167677 23.19956 18.153428
## 303         0 14.075860 23.46347 18.188854
## 305         0 13.981751 23.71705 18.224349
## 307         0 15.786755 19.11063 17.375143
## 309         0 12.747529 21.42297 16.563946
## 311         0 12.898402 21.27276 16.596271
## 313         0 13.044637 21.12472 16.628659
## 315         0 13.204147 20.96679 16.661109
## 317         0 13.360318 20.82495 16.693623
## 319         0 13.509710 20.69745 16.726201
## 321         0 13.658756 20.55649 16.758842
## 323         0 13.806695 20.41322 16.791547
## 325         0 13.953304 20.27007 16.824316
## 327         0 14.098045 20.13669 16.857148
## 329         0 14.248390 20.03043 16.890045
## 331         0 14.391244 19.92344 16.923006
## 333         0 14.534965 19.81665 16.956031
## 335         0 14.674231 19.71432 16.989120
## 337         0 14.801743 19.59719 17.022275
## 339         0 14.939533 19.48632 17.055494
## 341         0 15.068288 19.38951 17.088777
## 343         0 15.188868 19.29975 17.122126
## 345         0 15.301153 19.23375 17.155540
## 347         0 15.415208 19.14678 17.189019
## 349         0 15.510783 19.11594 17.222563
## 351         0 15.594977 19.07619 17.256173
## 353         0 15.666168 19.07005 17.289848
## 355         0 15.727019 19.06893 17.323589
## 357         0 15.774818 19.08666 17.357396
## 359         0 15.800921 19.13637 17.391269
## 361         0 15.808482 19.19543 17.425208
## 363         0 15.813018 19.26397 17.459213
## 365         0 15.784327 19.36724 17.493285
## 367         0 15.759337 19.48890 17.527423
## 369         0 15.722763 19.60425 17.561628
## 371         0 15.665611 19.75859 17.595899
## 373         0 15.599953 19.91694 17.630238
## 375         0 15.517456 20.08118 17.664643
## 377         0 15.446045 20.23426 17.699115
## 379         0 15.356553 20.41402 17.733655
## 381         0 15.273920 20.61788 17.768262
## 383         0 15.179424 20.80965 17.802937
## 385         0 15.076522 21.02060 17.837679
## 387         0 14.979612 21.25003 17.872490
## 389         0 14.871893 21.47613 17.907368
## 391         0 14.770738 21.72285 17.942314
## 393         0 14.670429 21.93441 17.977328
## 395         0 14.559271 22.17627 18.012411
## 397         0 14.456782 22.41026 18.047562
## 399         0 14.354868 22.69217 18.082782
## 401         0 14.262584 22.94351 18.118070
## 403         0 14.167677 23.19956 18.153428
## 405         0 14.075860 23.46347 18.188854
## 407         0 13.981751 23.71705 18.224349
## 409         0 15.786755 19.11063 17.375143
## 411         0 12.747529 21.42297 16.563946
## 413         0 12.898402 21.27276 16.596271
## 415         0 13.044637 21.12472 16.628659
## 417         0 13.204147 20.96679 16.661109
## 419         0 13.360318 20.82495 16.693623
## 421         0 13.509710 20.69745 16.726201
## 423         0 13.658756 20.55649 16.758842
## 425         0 13.806695 20.41322 16.791547
## 427         0 13.953304 20.27007 16.824316
## 429         0 14.098045 20.13669 16.857148
## 431         0 14.248390 20.03043 16.890045
## 433         0 14.391244 19.92344 16.923006
## 435         0 14.534965 19.81665 16.956031
## 437         0 14.674231 19.71432 16.989120
## 439         0 14.801743 19.59719 17.022275
## 441         0 14.939533 19.48632 17.055494
## 443         0 15.068288 19.38951 17.088777
## 445         0 15.188868 19.29975 17.122126
## 447         0 15.301153 19.23375 17.155540
## 449         0 15.415208 19.14678 17.189019
## 451         0 15.510783 19.11594 17.222563
## 453         0 15.594977 19.07619 17.256173
## 455         0 15.666168 19.07005 17.289848
## 457         0 15.727019 19.06893 17.323589
## 459         0 15.774818 19.08666 17.357396
## 461         0 15.800921 19.13637 17.391269
## 463         0 15.808482 19.19543 17.425208
## 465         0 15.813018 19.26397 17.459213
## 467         0 15.784327 19.36724 17.493285
## 469         0 15.759337 19.48890 17.527423
## 471         0 15.722763 19.60425 17.561628
## 473         0 15.665611 19.75859 17.595899
## 475         0 15.599953 19.91694 17.630238
## 477         0 15.517456 20.08118 17.664643
## 479         0 15.446045 20.23426 17.699115
## 481         0 15.356553 20.41402 17.733655
## 483         0 15.273920 20.61788 17.768262
## 485         0 15.179424 20.80965 17.802937
## 487         0 15.076522 21.02060 17.837679
## 489         0 14.979612 21.25003 17.872490
## 491         0 14.871893 21.47613 17.907368
## 493         0 14.770738 21.72285 17.942314
## 495         0 14.670429 21.93441 17.977328
## 497         0 14.559271 22.17627 18.012411
## 499         0 14.456782 22.41026 18.047562
## 501         0 14.354868 22.69217 18.082782
## 503         0 14.262584 22.94351 18.118070
## 505         0 14.167677 23.19956 18.153428
## 507         0 14.075860 23.46347 18.188854
## 509         0 13.981751 23.71705 18.224349
## 511         0 15.786755 19.11063 17.375143
## 513         0 12.747529 21.42297 16.563946
## 515         0 12.898402 21.27276 16.596271
## 517         0 13.044637 21.12472 16.628659
## 519         0 13.204147 20.96679 16.661109
## 521         0 13.360318 20.82495 16.693623
## 523         0 13.509710 20.69745 16.726201
## 525         0 13.658756 20.55649 16.758842
## 527         0 13.806695 20.41322 16.791547
## 529         0 13.953304 20.27007 16.824316
## 531         0 14.098045 20.13669 16.857148
## 533         0 14.248390 20.03043 16.890045
## 535         0 14.391244 19.92344 16.923006
## 537         0 14.534965 19.81665 16.956031
## 539         0 14.674231 19.71432 16.989120
## 541         0 14.801743 19.59719 17.022275
## 543         0 14.939533 19.48632 17.055494
## 545         0 15.068288 19.38951 17.088777
## 547         0 15.188868 19.29975 17.122126
## 549         0 15.301153 19.23375 17.155540
## 551         0 15.415208 19.14678 17.189019
## 553         0 15.510783 19.11594 17.222563
## 555         0 15.594977 19.07619 17.256173
## 557         0 15.666168 19.07005 17.289848
## 559         0 15.727019 19.06893 17.323589
## 561         0 15.774818 19.08666 17.357396
## 563         0 15.800921 19.13637 17.391269
## 565         0 15.808482 19.19543 17.425208
## 567         0 15.813018 19.26397 17.459213
## 569         0 15.784327 19.36724 17.493285
## 571         0 15.759337 19.48890 17.527423
## 573         0 15.722763 19.60425 17.561628
## 575         0 15.665611 19.75859 17.595899
## 577         0 15.599953 19.91694 17.630238
## 579         0 15.517456 20.08118 17.664643
## 581         0 15.446045 20.23426 17.699115
## 583         0 15.356553 20.41402 17.733655
## 585         0 15.273920 20.61788 17.768262
## 587         0 15.179424 20.80965 17.802937
## 589         0 15.076522 21.02060 17.837679
## 591         0 14.979612 21.25003 17.872490
## 593         0 14.871893 21.47613 17.907368
## 595         0 14.770738 21.72285 17.942314
## 597         0 14.670429 21.93441 17.977328
## 599         0 14.559271 22.17627 18.012411
## 601         0 14.456782 22.41026 18.047562
## 603         0 14.354868 22.69217 18.082782
## 605         0 14.262584 22.94351 18.118070
## 607         0 14.167677 23.19956 18.153428
## 609         0 14.075860 23.46347 18.188854
## 611         0 13.981751 23.71705 18.224349
## 613         0 15.786755 19.11063 17.375143
## 615         0 12.747529 21.42297 16.563946
## 617         0 12.898402 21.27276 16.596271
## 619         0 13.044637 21.12472 16.628659
## 621         0 13.204147 20.96679 16.661109
## 623         0 13.360318 20.82495 16.693623
## 625         0 13.509710 20.69745 16.726201
## 627         0 13.658756 20.55649 16.758842
## 629         0 13.806695 20.41322 16.791547
## 631         0 13.953304 20.27007 16.824316
## 633         0 14.098045 20.13669 16.857148
## 635         0 14.248390 20.03043 16.890045
## 637         0 14.391244 19.92344 16.923006
## 639         0 14.534965 19.81665 16.956031
## 641         0 14.674231 19.71432 16.989120
## 643         0 14.801743 19.59719 17.022275
## 645         0 14.939533 19.48632 17.055494
## 647         0 15.068288 19.38951 17.088777
## 649         0 15.188868 19.29975 17.122126
## 651         0 15.301153 19.23375 17.155540
## 653         0 15.415208 19.14678 17.189019
## 655         0 15.510783 19.11594 17.222563
## 657         0 15.594977 19.07619 17.256173
## 659         0 15.666168 19.07005 17.289848
## 661         0 15.727019 19.06893 17.323589
## 663         0 15.774818 19.08666 17.357396
## 665         0 15.800921 19.13637 17.391269
## 667         0 15.808482 19.19543 17.425208
## 669         0 15.813018 19.26397 17.459213
## 671         0 15.784327 19.36724 17.493285
## 673         0 15.759337 19.48890 17.527423
## 675         0 15.722763 19.60425 17.561628
## 677         0 15.665611 19.75859 17.595899
## 679         0 15.599953 19.91694 17.630238
## 681         0 15.517456 20.08118 17.664643
## 683         0 15.446045 20.23426 17.699115
## 685         0 15.356553 20.41402 17.733655
## 687         0 15.273920 20.61788 17.768262
## 689         0 15.179424 20.80965 17.802937
## 691         0 15.076522 21.02060 17.837679
## 693         0 14.979612 21.25003 17.872490
## 695         0 14.871893 21.47613 17.907368
## 697         0 14.770738 21.72285 17.942314
## 699         0 14.670429 21.93441 17.977328
## 701         0 14.559271 22.17627 18.012411
## 703         0 14.456782 22.41026 18.047562
## 705         0 14.354868 22.69217 18.082782
## 707         0 14.262584 22.94351 18.118070
## 709         0 14.167677 23.19956 18.153428
## 711         0 14.075860 23.46347 18.188854
## 713         0 13.981751 23.71705 18.224349
## 715         0 15.786755 19.11063 17.375143
## 717         0 12.747529 21.42297 16.563946
## 719         0 12.898402 21.27276 16.596271
## 721         0 13.044637 21.12472 16.628659
## 723         0 13.204147 20.96679 16.661109
## 725         0 13.360318 20.82495 16.693623
## 727         0 13.509710 20.69745 16.726201
## 729         0 13.658756 20.55649 16.758842
## 731         0 13.806695 20.41322 16.791547
## 733         0 13.953304 20.27007 16.824316
## 735         0 14.098045 20.13669 16.857148
## 737         0 14.248390 20.03043 16.890045
## 739         0 14.391244 19.92344 16.923006
## 741         0 14.534965 19.81665 16.956031
## 743         0 14.674231 19.71432 16.989120
## 745         0 14.801743 19.59719 17.022275
## 747         0 14.939533 19.48632 17.055494
## 749         0 15.068288 19.38951 17.088777
## 751         0 15.188868 19.29975 17.122126
## 753         0 15.301153 19.23375 17.155540
## 755         0 15.415208 19.14678 17.189019
## 757         0 15.510783 19.11594 17.222563
## 759         0 15.594977 19.07619 17.256173
## 761         0 15.666168 19.07005 17.289848
## 763         0 15.727019 19.06893 17.323589
## 765         0 15.774818 19.08666 17.357396
## 767         0 15.800921 19.13637 17.391269
## 769         0 15.808482 19.19543 17.425208
## 771         0 15.813018 19.26397 17.459213
## 773         0 15.784327 19.36724 17.493285
## 775         0 15.759337 19.48890 17.527423
## 777         0 15.722763 19.60425 17.561628
## 779         0 15.665611 19.75859 17.595899
## 781         0 15.599953 19.91694 17.630238
## 783         0 15.517456 20.08118 17.664643
## 785         0 15.446045 20.23426 17.699115
## 787         0 15.356553 20.41402 17.733655
## 789         0 15.273920 20.61788 17.768262
## 791         0 15.179424 20.80965 17.802937
## 793         0 15.076522 21.02060 17.837679
## 795         0 14.979612 21.25003 17.872490
## 797         0 14.871893 21.47613 17.907368
## 799         0 14.770738 21.72285 17.942314
## 801         0 14.670429 21.93441 17.977328
## 803         0 14.559271 22.17627 18.012411
## 805         0 14.456782 22.41026 18.047562
## 807         0 14.354868 22.69217 18.082782
## 809         0 14.262584 22.94351 18.118070
## 811         0 14.167677 23.19956 18.153428
## 813         0 14.075860 23.46347 18.188854
## 815         0 13.981751 23.71705 18.224349
## 817         0 15.786755 19.11063 17.375143
## 819         0 12.747529 21.42297 16.563946
## 821         0 12.898402 21.27276 16.596271
## 823         0 13.044637 21.12472 16.628659
## 825         0 13.204147 20.96679 16.661109
## 827         0 13.360318 20.82495 16.693623
## 829         0 13.509710 20.69745 16.726201
## 831         0 13.658756 20.55649 16.758842
## 833         0 13.806695 20.41322 16.791547
## 835         0 13.953304 20.27007 16.824316
## 837         0 14.098045 20.13669 16.857148
## 839         0 14.248390 20.03043 16.890045
## 841         0 14.391244 19.92344 16.923006
## 843         0 14.534965 19.81665 16.956031
## 845         0 14.674231 19.71432 16.989120
## 847         0 14.801743 19.59719 17.022275
## 849         0 14.939533 19.48632 17.055494
## 851         0 15.068288 19.38951 17.088777
## 853         0 15.188868 19.29975 17.122126
## 855         0 15.301153 19.23375 17.155540
## 857         0 15.415208 19.14678 17.189019
## 859         0 15.510783 19.11594 17.222563
## 861         0 15.594977 19.07619 17.256173
## 863         0 15.666168 19.07005 17.289848
## 865         0 15.727019 19.06893 17.323589
## 867         0 15.774818 19.08666 17.357396
## 869         0 15.800921 19.13637 17.391269
## 871         0 15.808482 19.19543 17.425208
## 873         0 15.813018 19.26397 17.459213
## 875         0 15.784327 19.36724 17.493285
## 877         0 15.759337 19.48890 17.527423
## 879         0 15.722763 19.60425 17.561628
## 881         0 15.665611 19.75859 17.595899
## 883         0 15.599953 19.91694 17.630238
## 885         0 15.517456 20.08118 17.664643
## 887         0 15.446045 20.23426 17.699115
## 889         0 15.356553 20.41402 17.733655
## 891         0 15.273920 20.61788 17.768262
## 893         0 15.179424 20.80965 17.802937
## 895         0 15.076522 21.02060 17.837679
## 897         0 14.979612 21.25003 17.872490
## 899         0 14.871893 21.47613 17.907368
## 901         0 14.770738 21.72285 17.942314
## 903         0 14.670429 21.93441 17.977328
## 905         0 14.559271 22.17627 18.012411
## 907         0 14.456782 22.41026 18.047562
## 909         0 14.354868 22.69217 18.082782
## 911         0 14.262584 22.94351 18.118070
## 913         0 14.167677 23.19956 18.153428
## 915         0 14.075860 23.46347 18.188854
## 917         0 13.981751 23.71705 18.224349
## 919         0 15.786755 19.11063 17.375143
## 921         0 12.747529 21.42297 16.563946
## 923         0 12.898402 21.27276 16.596271
## 925         0 13.044637 21.12472 16.628659
## 927         0 13.204147 20.96679 16.661109
## 929         0 13.360318 20.82495 16.693623
## 931         0 13.509710 20.69745 16.726201
## 933         0 13.658756 20.55649 16.758842
## 935         0 13.806695 20.41322 16.791547
## 937         0 13.953304 20.27007 16.824316
## 939         0 14.098045 20.13669 16.857148
## 941         0 14.248390 20.03043 16.890045
## 943         0 14.391244 19.92344 16.923006
## 945         0 14.534965 19.81665 16.956031
## 947         0 14.674231 19.71432 16.989120
## 949         0 14.801743 19.59719 17.022275
## 951         0 14.939533 19.48632 17.055494
## 953         0 15.068288 19.38951 17.088777
## 955         0 15.188868 19.29975 17.122126
## 957         0 15.301153 19.23375 17.155540
## 959         0 15.415208 19.14678 17.189019
## 961         0 15.510783 19.11594 17.222563
## 963         0 15.594977 19.07619 17.256173
## 965         0 15.666168 19.07005 17.289848
## 967         0 15.727019 19.06893 17.323589
## 969         0 15.774818 19.08666 17.357396
## 971         0 15.800921 19.13637 17.391269
## 973         0 15.808482 19.19543 17.425208
## 975         0 15.813018 19.26397 17.459213
## 977         0 15.784327 19.36724 17.493285
## 979         0 15.759337 19.48890 17.527423
## 981         0 15.722763 19.60425 17.561628
## 983         0 15.665611 19.75859 17.595899
## 985         0 15.599953 19.91694 17.630238
## 987         0 15.517456 20.08118 17.664643
## 989         0 15.446045 20.23426 17.699115
## 991         0 15.356553 20.41402 17.733655
## 993         0 15.273920 20.61788 17.768262
## 995         0 15.179424 20.80965 17.802937
## 997         0 15.076522 21.02060 17.837679
## 999         0 14.979612 21.25003 17.872490
## 1001        0 14.871893 21.47613 17.907368
## 1003        0 14.770738 21.72285 17.942314
## 1005        0 14.670429 21.93441 17.977328
## 1007        0 14.559271 22.17627 18.012411
## 1009        0 14.456782 22.41026 18.047562
## 1011        0 14.354868 22.69217 18.082782
## 1013        0 14.262584 22.94351 18.118070
## 1015        0 14.167677 23.19956 18.153428
## 1017        0 14.075860 23.46347 18.188854
## 1019        0 13.981751 23.71705 18.224349
## 1021        0 15.786755 19.11063 17.375143
## 1023        0 12.747529 21.42297 16.563946
## 1025        0 12.898402 21.27276 16.596271
## 1027        0 13.044637 21.12472 16.628659
## 1029        0 13.204147 20.96679 16.661109
## 1031        0 13.360318 20.82495 16.693623
## 1033        0 13.509710 20.69745 16.726201
## 1035        0 13.658756 20.55649 16.758842
## 1037        0 13.806695 20.41322 16.791547
## 1039        0 13.953304 20.27007 16.824316
## 1041        0 14.098045 20.13669 16.857148
## 1043        0 14.248390 20.03043 16.890045
## 1045        0 14.391244 19.92344 16.923006
## 1047        0 14.534965 19.81665 16.956031
## 1049        0 14.674231 19.71432 16.989120
## 1051        0 14.801743 19.59719 17.022275
## 1053        0 14.939533 19.48632 17.055494
## 1055        0 15.068288 19.38951 17.088777
## 1057        0 15.188868 19.29975 17.122126
## 1059        0 15.301153 19.23375 17.155540
## 1061        0 15.415208 19.14678 17.189019
## 1063        0 15.510783 19.11594 17.222563
## 1065        0 15.594977 19.07619 17.256173
## 1067        0 15.666168 19.07005 17.289848
## 1069        0 15.727019 19.06893 17.323589
## 1071        0 15.774818 19.08666 17.357396
## 1073        0 15.800921 19.13637 17.391269
## 1075        0 15.808482 19.19543 17.425208
## 1077        0 15.813018 19.26397 17.459213
## 1079        0 15.784327 19.36724 17.493285
## 1081        0 15.759337 19.48890 17.527423
## 1083        0 15.722763 19.60425 17.561628
## 1085        0 15.665611 19.75859 17.595899
## 1087        0 15.599953 19.91694 17.630238
## 1089        0 15.517456 20.08118 17.664643
## 1091        0 15.446045 20.23426 17.699115
## 1093        0 15.356553 20.41402 17.733655
## 1095        0 15.273920 20.61788 17.768262
## 1097        0 15.179424 20.80965 17.802937
## 1099        0 15.076522 21.02060 17.837679
## 1101        0 14.979612 21.25003 17.872490
## 1103        0 14.871893 21.47613 17.907368
## 1105        0 14.770738 21.72285 17.942314
## 1107        0 14.670429 21.93441 17.977328
## 1109        0 14.559271 22.17627 18.012411
## 1111        0 14.456782 22.41026 18.047562
## 1113        0 14.354868 22.69217 18.082782
## 1115        0 14.262584 22.94351 18.118070
## 1117        0 14.167677 23.19956 18.153428
## 1119        0 14.075860 23.46347 18.188854
## 1121        0 13.981751 23.71705 18.224349
## 1123        0 15.786755 19.11063 17.375143
## 1125        0 12.747529 21.42297 16.563946
## 1127        0 12.898402 21.27276 16.596271
## 1129        0 13.044637 21.12472 16.628659
## 1131        0 13.204147 20.96679 16.661109
## 1133        0 13.360318 20.82495 16.693623
## 1135        0 13.509710 20.69745 16.726201
## 1137        0 13.658756 20.55649 16.758842
## 1139        0 13.806695 20.41322 16.791547
## 1141        0 13.953304 20.27007 16.824316
## 1143        0 14.098045 20.13669 16.857148
## 1145        0 14.248390 20.03043 16.890045
## 1147        0 14.391244 19.92344 16.923006
## 1149        0 14.534965 19.81665 16.956031
## 1151        0 14.674231 19.71432 16.989120
## 1153        0 14.801743 19.59719 17.022275
## 1155        0 14.939533 19.48632 17.055494
## 1157        0 15.068288 19.38951 17.088777
## 1159        0 15.188868 19.29975 17.122126
## 1161        0 15.301153 19.23375 17.155540
## 1163        0 15.415208 19.14678 17.189019
## 1165        0 15.510783 19.11594 17.222563
## 1167        0 15.594977 19.07619 17.256173
## 1169        0 15.666168 19.07005 17.289848
## 1171        0 15.727019 19.06893 17.323589
## 1173        0 15.774818 19.08666 17.357396
## 1175        0 15.800921 19.13637 17.391269
## 1177        0 15.808482 19.19543 17.425208
## 1179        0 15.813018 19.26397 17.459213
## 1181        0 15.784327 19.36724 17.493285
## 1183        0 15.759337 19.48890 17.527423
## 1185        0 15.722763 19.60425 17.561628
## 1187        0 15.665611 19.75859 17.595899
## 1189        0 15.599953 19.91694 17.630238
## 1191        0 15.517456 20.08118 17.664643
## 1193        0 15.446045 20.23426 17.699115
## 1195        0 15.356553 20.41402 17.733655
## 1197        0 15.273920 20.61788 17.768262
## 1199        0 15.179424 20.80965 17.802937
## 1201        0 15.076522 21.02060 17.837679
## 1203        0 14.979612 21.25003 17.872490
## 1205        0 14.871893 21.47613 17.907368
## 1207        0 14.770738 21.72285 17.942314
## 1209        0 14.670429 21.93441 17.977328
## 1211        0 14.559271 22.17627 18.012411
## 1213        0 14.456782 22.41026 18.047562
## 1215        0 14.354868 22.69217 18.082782
## 1217        0 14.262584 22.94351 18.118070
## 1219        0 14.167677 23.19956 18.153428
## 1221        0 14.075860 23.46347 18.188854
## 1223        0 13.981751 23.71705 18.224349
## 1225        0 15.786755 19.11063 17.375143
## 1227        0 12.747529 21.42297 16.563946
## 1229        0 12.898402 21.27276 16.596271
## 1231        0 13.044637 21.12472 16.628659
## 1233        0 13.204147 20.96679 16.661109
## 1235        0 13.360318 20.82495 16.693623
## 1237        0 13.509710 20.69745 16.726201
## 1239        0 13.658756 20.55649 16.758842
## 1241        0 13.806695 20.41322 16.791547
## 1243        0 13.953304 20.27007 16.824316
## 1245        0 14.098045 20.13669 16.857148
## 1247        0 14.248390 20.03043 16.890045
## 1249        0 14.391244 19.92344 16.923006
## 1251        0 14.534965 19.81665 16.956031
## 1253        0 14.674231 19.71432 16.989120
## 1255        0 14.801743 19.59719 17.022275
## 1257        0 14.939533 19.48632 17.055494
## 1259        0 15.068288 19.38951 17.088777
## 1261        0 15.188868 19.29975 17.122126
## 1263        0 15.301153 19.23375 17.155540
## 1265        0 15.415208 19.14678 17.189019
## 1267        0 15.510783 19.11594 17.222563
## 1269        0 15.594977 19.07619 17.256173
## 1271        0 15.666168 19.07005 17.289848
## 1273        0 15.727019 19.06893 17.323589
## 1275        0 15.774818 19.08666 17.357396
## 1277        0 15.800921 19.13637 17.391269
## 1279        0 15.808482 19.19543 17.425208
## 1281        0 15.813018 19.26397 17.459213
## 1283        0 15.784327 19.36724 17.493285
## 1285        0 15.759337 19.48890 17.527423
## 1287        0 15.722763 19.60425 17.561628
## 1289        0 15.665611 19.75859 17.595899
## 1291        0 15.599953 19.91694 17.630238
## 1293        0 15.517456 20.08118 17.664643
## 1295        0 15.446045 20.23426 17.699115
## 1297        0 15.356553 20.41402 17.733655
## 1299        0 15.273920 20.61788 17.768262
## 1301        0 15.179424 20.80965 17.802937
## 1303        0 15.076522 21.02060 17.837679
## 1305        0 14.979612 21.25003 17.872490
## 1307        0 14.871893 21.47613 17.907368
## 1309        0 14.770738 21.72285 17.942314
## 1311        0 14.670429 21.93441 17.977328
## 1313        0 14.559271 22.17627 18.012411
## 1315        0 14.456782 22.41026 18.047562
## 1317        0 14.354868 22.69217 18.082782
## 1319        0 14.262584 22.94351 18.118070
## 1321        0 14.167677 23.19956 18.153428
## 1323        0 14.075860 23.46347 18.188854
## 1325        0 13.981751 23.71705 18.224349
## 1327        0 15.786755 19.11063 17.375143
## 1329        0 12.747529 21.42297 16.563946
## 1331        0 12.898402 21.27276 16.596271
## 1333        0 13.044637 21.12472 16.628659
## 1335        0 13.204147 20.96679 16.661109
## 1337        0 13.360318 20.82495 16.693623
## 1339        0 13.509710 20.69745 16.726201
## 1341        0 13.658756 20.55649 16.758842
## 1343        0 13.806695 20.41322 16.791547
## 1345        0 13.953304 20.27007 16.824316
## 1347        0 14.098045 20.13669 16.857148
## 1349        0 14.248390 20.03043 16.890045
## 1351        0 14.391244 19.92344 16.923006
## 1353        0 14.534965 19.81665 16.956031
## 1355        0 14.674231 19.71432 16.989120
## 1357        0 14.801743 19.59719 17.022275
## 1359        0 14.939533 19.48632 17.055494
## 1361        0 15.068288 19.38951 17.088777
## 1363        0 15.188868 19.29975 17.122126
## 1365        0 15.301153 19.23375 17.155540
## 1367        0 15.415208 19.14678 17.189019
## 1369        0 15.510783 19.11594 17.222563
## 1371        0 15.594977 19.07619 17.256173
## 1373        0 15.666168 19.07005 17.289848
## 1375        0 15.727019 19.06893 17.323589
## 1377        0 15.774818 19.08666 17.357396
## 1379        0 15.800921 19.13637 17.391269
## 1381        0 15.808482 19.19543 17.425208
## 1383        0 15.813018 19.26397 17.459213
## 1385        0 15.784327 19.36724 17.493285
## 1387        0 15.759337 19.48890 17.527423
## 1389        0 15.722763 19.60425 17.561628
## 1391        0 15.665611 19.75859 17.595899
## 1393        0 15.599953 19.91694 17.630238
## 1395        0 15.517456 20.08118 17.664643
## 1397        0 15.446045 20.23426 17.699115
## 1399        0 15.356553 20.41402 17.733655
## 1401        0 15.273920 20.61788 17.768262
## 1403        0 15.179424 20.80965 17.802937
## 1405        0 15.076522 21.02060 17.837679
## 1407        0 14.979612 21.25003 17.872490
## 1409        0 14.871893 21.47613 17.907368
## 1411        0 14.770738 21.72285 17.942314
## 1413        0 14.670429 21.93441 17.977328
## 1415        0 14.559271 22.17627 18.012411
## 1417        0 14.456782 22.41026 18.047562
## 1419        0 14.354868 22.69217 18.082782
## 1421        0 14.262584 22.94351 18.118070
## 1423        0 14.167677 23.19956 18.153428
## 1425        0 14.075860 23.46347 18.188854
## 1427        0 13.981751 23.71705 18.224349
## 1429        0 15.786755 19.11063 17.375143
## 1431        0 12.747529 21.42297 16.563946
## 1433        0 12.898402 21.27276 16.596271
## 1435        0 13.044637 21.12472 16.628659
## 1437        0 13.204147 20.96679 16.661109
## 1439        0 13.360318 20.82495 16.693623
## 1441        0 13.509710 20.69745 16.726201
## 1443        0 13.658756 20.55649 16.758842
## 1445        0 13.806695 20.41322 16.791547
## 1447        0 13.953304 20.27007 16.824316
## 1449        0 14.098045 20.13669 16.857148
## 1451        0 14.248390 20.03043 16.890045
## 1453        0 14.391244 19.92344 16.923006
## 1455        0 14.534965 19.81665 16.956031
## 1457        0 14.674231 19.71432 16.989120
## 1459        0 14.801743 19.59719 17.022275
## 1461        0 14.939533 19.48632 17.055494
## 1463        0 15.068288 19.38951 17.088777
## 1465        0 15.188868 19.29975 17.122126
## 1467        0 15.301153 19.23375 17.155540
## 1469        0 15.415208 19.14678 17.189019
## 1471        0 15.510783 19.11594 17.222563
## 1473        0 15.594977 19.07619 17.256173
## 1475        0 15.666168 19.07005 17.289848
## 1477        0 15.727019 19.06893 17.323589
## 1479        0 15.774818 19.08666 17.357396
## 1481        0 15.800921 19.13637 17.391269
## 1483        0 15.808482 19.19543 17.425208
## 1485        0 15.813018 19.26397 17.459213
## 1487        0 15.784327 19.36724 17.493285
## 1489        0 15.759337 19.48890 17.527423
## 1491        0 15.722763 19.60425 17.561628
## 1493        0 15.665611 19.75859 17.595899
## 1495        0 15.599953 19.91694 17.630238
## 1497        0 15.517456 20.08118 17.664643
## 1499        0 15.446045 20.23426 17.699115
## 1501        0 15.356553 20.41402 17.733655
## 1503        0 15.273920 20.61788 17.768262
## 1505        0 15.179424 20.80965 17.802937
## 1507        0 15.076522 21.02060 17.837679
## 1509        0 14.979612 21.25003 17.872490
## 1511        0 14.871893 21.47613 17.907368
## 1513        0 14.770738 21.72285 17.942314
## 1515        0 14.670429 21.93441 17.977328
## 1517        0 14.559271 22.17627 18.012411
## 1519        0 14.456782 22.41026 18.047562
## 1521        0 14.354868 22.69217 18.082782
## 1523        0 14.262584 22.94351 18.118070
## 1525        0 14.167677 23.19956 18.153428
## 1527        0 14.075860 23.46347 18.188854
## 1529        0 13.981751 23.71705 18.224349
## 1531        0 15.786755 19.11063 17.375143
## 1533        0 12.747529 21.42297 16.563946
## 1535        0 12.898402 21.27276 16.596271
## 1537        0 13.044637 21.12472 16.628659
## 1539        0 13.204147 20.96679 16.661109
## 1541        0 13.360318 20.82495 16.693623
## 1543        0 13.509710 20.69745 16.726201
## 1545        0 13.658756 20.55649 16.758842
## 1547        0 13.806695 20.41322 16.791547
## 1549        0 13.953304 20.27007 16.824316
## 1551        0 14.098045 20.13669 16.857148
## 1553        0 14.248390 20.03043 16.890045
## 1555        0 14.391244 19.92344 16.923006
## 1557        0 14.534965 19.81665 16.956031
## 1559        0 14.674231 19.71432 16.989120
## 1561        0 14.801743 19.59719 17.022275
## 1563        0 14.939533 19.48632 17.055494
## 1565        0 15.068288 19.38951 17.088777
## 1567        0 15.188868 19.29975 17.122126
## 1569        0 15.301153 19.23375 17.155540
## 1571        0 15.415208 19.14678 17.189019
## 1573        0 15.510783 19.11594 17.222563
## 1575        0 15.594977 19.07619 17.256173
## 1577        0 15.666168 19.07005 17.289848
## 1579        0 15.727019 19.06893 17.323589
## 1581        0 15.774818 19.08666 17.357396
## 1583        0 15.800921 19.13637 17.391269
## 1585        0 15.808482 19.19543 17.425208
## 1587        0 15.813018 19.26397 17.459213
## 1589        0 15.784327 19.36724 17.493285
## 1591        0 15.759337 19.48890 17.527423
## 1593        0 15.722763 19.60425 17.561628
## 1595        0 15.665611 19.75859 17.595899
## 1597        0 15.599953 19.91694 17.630238
## 1599        0 15.517456 20.08118 17.664643
## 1601        0 15.446045 20.23426 17.699115
## 1603        0 15.356553 20.41402 17.733655
## 1605        0 15.273920 20.61788 17.768262
## 1607        0 15.179424 20.80965 17.802937
## 1609        0 15.076522 21.02060 17.837679
## 1611        0 14.979612 21.25003 17.872490
## 1613        0 14.871893 21.47613 17.907368
## 1615        0 14.770738 21.72285 17.942314
## 1617        0 14.670429 21.93441 17.977328
## 1619        0 14.559271 22.17627 18.012411
## 1621        0 14.456782 22.41026 18.047562
## 1623        0 14.354868 22.69217 18.082782
## 1625        0 14.262584 22.94351 18.118070
## 1627        0 14.167677 23.19956 18.153428
## 1629        0 14.075860 23.46347 18.188854
## 1631        0 13.981751 23.71705 18.224349
## 1633        0 15.786755 19.11063 17.375143
## 1635        0 12.747529 21.42297 16.563946
## 1637        0 12.898402 21.27276 16.596271
## 1639        0 13.044637 21.12472 16.628659
## 1641        0 13.204147 20.96679 16.661109
## 1643        0 13.360318 20.82495 16.693623
## 1645        0 13.509710 20.69745 16.726201
## 1647        0 13.658756 20.55649 16.758842
## 1649        0 13.806695 20.41322 16.791547
## 1651        0 13.953304 20.27007 16.824316
## 1653        0 14.098045 20.13669 16.857148
## 1655        0 14.248390 20.03043 16.890045
## 1657        0 14.391244 19.92344 16.923006
## 1659        0 14.534965 19.81665 16.956031
## 1661        0 14.674231 19.71432 16.989120
## 1663        0 14.801743 19.59719 17.022275
## 1665        0 14.939533 19.48632 17.055494
## 1667        0 15.068288 19.38951 17.088777
## 1669        0 15.188868 19.29975 17.122126
## 1671        0 15.301153 19.23375 17.155540
## 1673        0 15.415208 19.14678 17.189019
## 1675        0 15.510783 19.11594 17.222563
## 1677        0 15.594977 19.07619 17.256173
## 1679        0 15.666168 19.07005 17.289848
## 1681        0 15.727019 19.06893 17.323589
## 1683        0 15.774818 19.08666 17.357396
## 1685        0 15.800921 19.13637 17.391269
## 1687        0 15.808482 19.19543 17.425208
## 1689        0 15.813018 19.26397 17.459213
## 1691        0 15.784327 19.36724 17.493285
## 1693        0 15.759337 19.48890 17.527423
## 1695        0 15.722763 19.60425 17.561628
## 1697        0 15.665611 19.75859 17.595899
## 1699        0 15.599953 19.91694 17.630238
## 1701        0 15.517456 20.08118 17.664643
## 1703        0 15.446045 20.23426 17.699115
## 1705        0 15.356553 20.41402 17.733655
## 1707        0 15.273920 20.61788 17.768262
## 1709        0 15.179424 20.80965 17.802937
## 1711        0 15.076522 21.02060 17.837679
## 1713        0 14.979612 21.25003 17.872490
## 1715        0 14.871893 21.47613 17.907368
## 1717        0 14.770738 21.72285 17.942314
## 1719        0 14.670429 21.93441 17.977328
## 1721        0 14.559271 22.17627 18.012411
## 1723        0 14.456782 22.41026 18.047562
## 1725        0 14.354868 22.69217 18.082782
## 1727        0 14.262584 22.94351 18.118070
## 1729        0 14.167677 23.19956 18.153428
## 1731        0 14.075860 23.46347 18.188854
## 1733        0 13.981751 23.71705 18.224349
## 1735        0 15.786755 19.11063 17.375143
## 1737        0 12.747529 21.42297 16.563946
## 1739        0 12.898402 21.27276 16.596271
## 1741        0 13.044637 21.12472 16.628659
## 1743        0 13.204147 20.96679 16.661109
## 1745        0 13.360318 20.82495 16.693623
## 1747        0 13.509710 20.69745 16.726201
## 1749        0 13.658756 20.55649 16.758842
## 1751        0 13.806695 20.41322 16.791547
## 1753        0 13.953304 20.27007 16.824316
## 1755        0 14.098045 20.13669 16.857148
## 1757        0 14.248390 20.03043 16.890045
## 1759        0 14.391244 19.92344 16.923006
## 1761        0 14.534965 19.81665 16.956031
## 1763        0 14.674231 19.71432 16.989120
## 1765        0 14.801743 19.59719 17.022275
## 1767        0 14.939533 19.48632 17.055494
## 1769        0 15.068288 19.38951 17.088777
## 1771        0 15.188868 19.29975 17.122126
## 1773        0 15.301153 19.23375 17.155540
## 1775        0 15.415208 19.14678 17.189019
## 1777        0 15.510783 19.11594 17.222563
## 1779        0 15.594977 19.07619 17.256173
## 1781        0 15.666168 19.07005 17.289848
## 1783        0 15.727019 19.06893 17.323589
## 1785        0 15.774818 19.08666 17.357396
## 1787        0 15.800921 19.13637 17.391269
## 1789        0 15.808482 19.19543 17.425208
## 1791        0 15.813018 19.26397 17.459213
## 1793        0 15.784327 19.36724 17.493285
## 1795        0 15.759337 19.48890 17.527423
## 1797        0 15.722763 19.60425 17.561628
## 1799        0 15.665611 19.75859 17.595899
## 1801        0 15.599953 19.91694 17.630238
## 1803        0 15.517456 20.08118 17.664643
## 1805        0 15.446045 20.23426 17.699115
## 1807        0 15.356553 20.41402 17.733655
## 1809        0 15.273920 20.61788 17.768262
## 1811        0 15.179424 20.80965 17.802937
## 1813        0 15.076522 21.02060 17.837679
## 1815        0 14.979612 21.25003 17.872490
## 1817        0 14.871893 21.47613 17.907368
## 1819        0 14.770738 21.72285 17.942314
## 1821        0 14.670429 21.93441 17.977328
## 1823        0 14.559271 22.17627 18.012411
## 1825        0 14.456782 22.41026 18.047562
## 1827        0 14.354868 22.69217 18.082782
## 1829        0 14.262584 22.94351 18.118070
## 1831        0 14.167677 23.19956 18.153428
## 1833        0 14.075860 23.46347 18.188854
## 1835        0 13.981751 23.71705 18.224349
## 1837        0 15.786755 19.11063 17.375143
## 1839        0 12.747529 21.42297 16.563946
## 1841        0 12.898402 21.27276 16.596271
## 1843        0 13.044637 21.12472 16.628659
## 1845        0 13.204147 20.96679 16.661109
## 1847        0 13.360318 20.82495 16.693623
## 1849        0 13.509710 20.69745 16.726201
## 1851        0 13.658756 20.55649 16.758842
## 1853        0 13.806695 20.41322 16.791547
## 1855        0 13.953304 20.27007 16.824316
## 1857        0 14.098045 20.13669 16.857148
## 1859        0 14.248390 20.03043 16.890045
## 1861        0 14.391244 19.92344 16.923006
## 1863        0 14.534965 19.81665 16.956031
## 1865        0 14.674231 19.71432 16.989120
## 1867        0 14.801743 19.59719 17.022275
## 1869        0 14.939533 19.48632 17.055494
## 1871        0 15.068288 19.38951 17.088777
## 1873        0 15.188868 19.29975 17.122126
## 1875        0 15.301153 19.23375 17.155540
## 1877        0 15.415208 19.14678 17.189019
## 1879        0 15.510783 19.11594 17.222563
## 1881        0 15.594977 19.07619 17.256173
## 1883        0 15.666168 19.07005 17.289848
## 1885        0 15.727019 19.06893 17.323589
## 1887        0 15.774818 19.08666 17.357396
## 1889        0 15.800921 19.13637 17.391269
## 1891        0 15.808482 19.19543 17.425208
## 1893        0 15.813018 19.26397 17.459213
## 1895        0 15.784327 19.36724 17.493285
## 1897        0 15.759337 19.48890 17.527423
## 1899        0 15.722763 19.60425 17.561628
## 1901        0 15.665611 19.75859 17.595899
## 1903        0 15.599953 19.91694 17.630238
## 1905        0 15.517456 20.08118 17.664643
## 1907        0 15.446045 20.23426 17.699115
## 1909        0 15.356553 20.41402 17.733655
## 1911        0 15.273920 20.61788 17.768262
## 1913        0 15.179424 20.80965 17.802937
## 1915        0 15.076522 21.02060 17.837679
## 1917        0 14.979612 21.25003 17.872490
## 1919        0 14.871893 21.47613 17.907368
## 1921        0 14.770738 21.72285 17.942314
## 1923        0 14.670429 21.93441 17.977328
## 1925        0 14.559271 22.17627 18.012411
## 1927        0 14.456782 22.41026 18.047562
## 1929        0 14.354868 22.69217 18.082782
## 1931        0 14.262584 22.94351 18.118070
## 1933        0 14.167677 23.19956 18.153428
## 1935        0 14.075860 23.46347 18.188854
## 1937        0 13.981751 23.71705 18.224349
## 1939        0 15.786755 19.11063 17.375143
## 1941        0 12.747529 21.42297 16.563946
## 1943        0 12.898402 21.27276 16.596271
## 1945        0 13.044637 21.12472 16.628659
## 1947        0 13.204147 20.96679 16.661109
## 1949        0 13.360318 20.82495 16.693623
## 1951        0 13.509710 20.69745 16.726201
## 1953        0 13.658756 20.55649 16.758842
## 1955        0 13.806695 20.41322 16.791547
## 1957        0 13.953304 20.27007 16.824316
## 1959        0 14.098045 20.13669 16.857148
## 1961        0 14.248390 20.03043 16.890045
## 1963        0 14.391244 19.92344 16.923006
## 1965        0 14.534965 19.81665 16.956031
## 1967        0 14.674231 19.71432 16.989120
## 1969        0 14.801743 19.59719 17.022275
## 1971        0 14.939533 19.48632 17.055494
## 1973        0 15.068288 19.38951 17.088777
## 1975        0 15.188868 19.29975 17.122126
## 1977        0 15.301153 19.23375 17.155540
## 1979        0 15.415208 19.14678 17.189019
## 1981        0 15.510783 19.11594 17.222563
## 1983        0 15.594977 19.07619 17.256173
## 1985        0 15.666168 19.07005 17.289848
## 1987        0 15.727019 19.06893 17.323589
## 1989        0 15.774818 19.08666 17.357396
## 1991        0 15.800921 19.13637 17.391269
## 1993        0 15.808482 19.19543 17.425208
## 1995        0 15.813018 19.26397 17.459213
## 1997        0 15.784327 19.36724 17.493285
## 1999        0 15.759337 19.48890 17.527423
## 2001        0 15.722763 19.60425 17.561628
## 2003        0 15.665611 19.75859 17.595899
## 2005        0 15.599953 19.91694 17.630238
## 2007        0 15.517456 20.08118 17.664643
## 2009        0 15.446045 20.23426 17.699115
## 2011        0 15.356553 20.41402 17.733655
## 2013        0 15.273920 20.61788 17.768262
## 2015        0 15.179424 20.80965 17.802937
## 2017        0 15.076522 21.02060 17.837679
## 2019        0 14.979612 21.25003 17.872490
## 2021        0 14.871893 21.47613 17.907368
## 2023        0 14.770738 21.72285 17.942314
## 2025        0 14.670429 21.93441 17.977328
## 2027        0 14.559271 22.17627 18.012411
## 2029        0 14.456782 22.41026 18.047562
## 2031        0 14.354868 22.69217 18.082782
## 2033        0 14.262584 22.94351 18.118070
## 2035        0 14.167677 23.19956 18.153428
## 2037        0 14.075860 23.46347 18.188854
## 2039        0 13.981751 23.71705 18.224349
## 2041        0 15.786755 19.11063 17.375143
## 2043        0 12.747529 21.42297 16.563946
## 2045        0 12.898402 21.27276 16.596271
## 2047        0 13.044637 21.12472 16.628659
## 2049        0 13.204147 20.96679 16.661109
## 2051        0 13.360318 20.82495 16.693623
## 2053        0 13.509710 20.69745 16.726201
## 2055        0 13.658756 20.55649 16.758842
## 2057        0 13.806695 20.41322 16.791547
## 2059        0 13.953304 20.27007 16.824316
## 2061        0 14.098045 20.13669 16.857148
## 2063        0 14.248390 20.03043 16.890045
## 2065        0 14.391244 19.92344 16.923006
## 2067        0 14.534965 19.81665 16.956031
## 2069        0 14.674231 19.71432 16.989120
## 2071        0 14.801743 19.59719 17.022275
## 2073        0 14.939533 19.48632 17.055494
## 2075        0 15.068288 19.38951 17.088777
## 2077        0 15.188868 19.29975 17.122126
## 2079        0 15.301153 19.23375 17.155540
## 2081        0 15.415208 19.14678 17.189019
## 2083        0 15.510783 19.11594 17.222563
## 2085        0 15.594977 19.07619 17.256173
## 2087        0 15.666168 19.07005 17.289848
## 2089        0 15.727019 19.06893 17.323589
## 2091        0 15.774818 19.08666 17.357396
## 2093        0 15.800921 19.13637 17.391269
## 2095        0 15.808482 19.19543 17.425208
## 2097        0 15.813018 19.26397 17.459213
## 2099        0 15.784327 19.36724 17.493285
## 2101        0 15.759337 19.48890 17.527423
## 2103        0 15.722763 19.60425 17.561628
## 2105        0 15.665611 19.75859 17.595899
## 2107        0 15.599953 19.91694 17.630238
## 2109        0 15.517456 20.08118 17.664643
## 2111        0 15.446045 20.23426 17.699115
## 2113        0 15.356553 20.41402 17.733655
## 2115        0 15.273920 20.61788 17.768262
## 2117        0 15.179424 20.80965 17.802937
## 2119        0 15.076522 21.02060 17.837679
## 2121        0 14.979612 21.25003 17.872490
## 2123        0 14.871893 21.47613 17.907368
## 2125        0 14.770738 21.72285 17.942314
## 2127        0 14.670429 21.93441 17.977328
## 2129        0 14.559271 22.17627 18.012411
## 2131        0 14.456782 22.41026 18.047562
## 2133        0 14.354868 22.69217 18.082782
## 2135        0 14.262584 22.94351 18.118070
## 2137        0 14.167677 23.19956 18.153428
## 2139        0 14.075860 23.46347 18.188854
## 2141        0 13.981751 23.71705 18.224349
## 2143        0 15.786755 19.11063 17.375143
## 2145        0 12.747529 21.42297 16.563946
## 2147        0 12.898402 21.27276 16.596271
## 2149        0 13.044637 21.12472 16.628659
## 2151        0 13.204147 20.96679 16.661109
## 2153        0 13.360318 20.82495 16.693623
## 2155        0 13.509710 20.69745 16.726201
## 2157        0 13.658756 20.55649 16.758842
## 2159        0 13.806695 20.41322 16.791547
## 2161        0 13.953304 20.27007 16.824316
## 2163        0 14.098045 20.13669 16.857148
## 2165        0 14.248390 20.03043 16.890045
## 2167        0 14.391244 19.92344 16.923006
## 2169        0 14.534965 19.81665 16.956031
## 2171        0 14.674231 19.71432 16.989120
## 2173        0 14.801743 19.59719 17.022275
## 2175        0 14.939533 19.48632 17.055494
## 2177        0 15.068288 19.38951 17.088777
## 2179        0 15.188868 19.29975 17.122126
## 2181        0 15.301153 19.23375 17.155540
## 2183        0 15.415208 19.14678 17.189019
## 2185        0 15.510783 19.11594 17.222563
## 2187        0 15.594977 19.07619 17.256173
## 2189        0 15.666168 19.07005 17.289848
## 2191        0 15.727019 19.06893 17.323589
## 2193        0 15.774818 19.08666 17.357396
## 2195        0 15.800921 19.13637 17.391269
## 2197        0 15.808482 19.19543 17.425208
## 2199        0 15.813018 19.26397 17.459213
## 2201        0 15.784327 19.36724 17.493285
## 2203        0 15.759337 19.48890 17.527423
## 2205        0 15.722763 19.60425 17.561628
## 2207        0 15.665611 19.75859 17.595899
## 2209        0 15.599953 19.91694 17.630238
## 2211        0 15.517456 20.08118 17.664643
## 2213        0 15.446045 20.23426 17.699115
## 2215        0 15.356553 20.41402 17.733655
## 2217        0 15.273920 20.61788 17.768262
## 2219        0 15.179424 20.80965 17.802937
## 2221        0 15.076522 21.02060 17.837679
## 2223        0 14.979612 21.25003 17.872490
## 2225        0 14.871893 21.47613 17.907368
## 2227        0 14.770738 21.72285 17.942314
## 2229        0 14.670429 21.93441 17.977328
## 2231        0 14.559271 22.17627 18.012411
## 2233        0 14.456782 22.41026 18.047562
## 2235        0 14.354868 22.69217 18.082782
## 2237        0 14.262584 22.94351 18.118070
## 2239        0 14.167677 23.19956 18.153428
## 2241        0 14.075860 23.46347 18.188854
## 2243        0 13.981751 23.71705 18.224349
## 2245        0 15.786755 19.11063 17.375143
## 2247        0 12.747529 21.42297 16.563946
## 2249        0 12.898402 21.27276 16.596271
## 2251        0 13.044637 21.12472 16.628659
## 2253        0 13.204147 20.96679 16.661109
## 2255        0 13.360318 20.82495 16.693623
## 2257        0 13.509710 20.69745 16.726201
## 2259        0 13.658756 20.55649 16.758842
## 2261        0 13.806695 20.41322 16.791547
## 2263        0 13.953304 20.27007 16.824316
## 2265        0 14.098045 20.13669 16.857148
## 2267        0 14.248390 20.03043 16.890045
## 2269        0 14.391244 19.92344 16.923006
## 2271        0 14.534965 19.81665 16.956031
## 2273        0 14.674231 19.71432 16.989120
## 2275        0 14.801743 19.59719 17.022275
## 2277        0 14.939533 19.48632 17.055494
## 2279        0 15.068288 19.38951 17.088777
## 2281        0 15.188868 19.29975 17.122126
## 2283        0 15.301153 19.23375 17.155540
## 2285        0 15.415208 19.14678 17.189019
## 2287        0 15.510783 19.11594 17.222563
## 2289        0 15.594977 19.07619 17.256173
## 2291        0 15.666168 19.07005 17.289848
## 2293        0 15.727019 19.06893 17.323589
## 2295        0 15.774818 19.08666 17.357396
## 2297        0 15.800921 19.13637 17.391269
## 2299        0 15.808482 19.19543 17.425208
## 2301        0 15.813018 19.26397 17.459213
## 2303        0 15.784327 19.36724 17.493285
## 2305        0 15.759337 19.48890 17.527423
## 2307        0 15.722763 19.60425 17.561628
## 2309        0 15.665611 19.75859 17.595899
## 2311        0 15.599953 19.91694 17.630238
## 2313        0 15.517456 20.08118 17.664643
## 2315        0 15.446045 20.23426 17.699115
## 2317        0 15.356553 20.41402 17.733655
## 2319        0 15.273920 20.61788 17.768262
## 2321        0 15.179424 20.80965 17.802937
## 2323        0 15.076522 21.02060 17.837679
## 2325        0 14.979612 21.25003 17.872490
## 2327        0 14.871893 21.47613 17.907368
## 2329        0 14.770738 21.72285 17.942314
## 2331        0 14.670429 21.93441 17.977328
## 2333        0 14.559271 22.17627 18.012411
## 2335        0 14.456782 22.41026 18.047562
## 2337        0 14.354868 22.69217 18.082782
## 2339        0 14.262584 22.94351 18.118070
## 2341        0 14.167677 23.19956 18.153428
## 2343        0 14.075860 23.46347 18.188854
## 2345        0 13.981751 23.71705 18.224349
## 2347        0 15.786755 19.11063 17.375143
## 2349        0 12.747529 21.42297 16.563946
## 2351        0 12.898402 21.27276 16.596271
## 2353        0 13.044637 21.12472 16.628659
## 2355        0 13.204147 20.96679 16.661109
## 2357        0 13.360318 20.82495 16.693623
## 2359        0 13.509710 20.69745 16.726201
## 2361        0 13.658756 20.55649 16.758842
## 2363        0 13.806695 20.41322 16.791547
## 2365        0 13.953304 20.27007 16.824316
## 2367        0 14.098045 20.13669 16.857148
## 2369        0 14.248390 20.03043 16.890045
## 2371        0 14.391244 19.92344 16.923006
## 2373        0 14.534965 19.81665 16.956031
## 2375        0 14.674231 19.71432 16.989120
## 2377        0 14.801743 19.59719 17.022275
## 2379        0 14.939533 19.48632 17.055494
## 2381        0 15.068288 19.38951 17.088777
## 2383        0 15.188868 19.29975 17.122126
## 2385        0 15.301153 19.23375 17.155540
## 2387        0 15.415208 19.14678 17.189019
## 2389        0 15.510783 19.11594 17.222563
## 2391        0 15.594977 19.07619 17.256173
## 2393        0 15.666168 19.07005 17.289848
## 2395        0 15.727019 19.06893 17.323589
## 2397        0 15.774818 19.08666 17.357396
## 2399        0 15.800921 19.13637 17.391269
## 2401        0 15.808482 19.19543 17.425208
## 2403        0 15.813018 19.26397 17.459213
## 2405        0 15.784327 19.36724 17.493285
## 2407        0 15.759337 19.48890 17.527423
## 2409        0 15.722763 19.60425 17.561628
## 2411        0 15.665611 19.75859 17.595899
## 2413        0 15.599953 19.91694 17.630238
## 2415        0 15.517456 20.08118 17.664643
## 2417        0 15.446045 20.23426 17.699115
## 2419        0 15.356553 20.41402 17.733655
## 2421        0 15.273920 20.61788 17.768262
## 2423        0 15.179424 20.80965 17.802937
## 2425        0 15.076522 21.02060 17.837679
## 2427        0 14.979612 21.25003 17.872490
## 2429        0 14.871893 21.47613 17.907368
## 2431        0 14.770738 21.72285 17.942314
## 2433        0 14.670429 21.93441 17.977328
## 2435        0 14.559271 22.17627 18.012411
## 2437        0 14.456782 22.41026 18.047562
## 2439        0 14.354868 22.69217 18.082782
## 2441        0 14.262584 22.94351 18.118070
## 2443        0 14.167677 23.19956 18.153428
## 2445        0 14.075860 23.46347 18.188854
## 2447        0 13.981751 23.71705 18.224349
## 2449        0 15.786755 19.11063 17.375143
## 2451        0 12.747529 21.42297 16.563946
## 2453        0 12.898402 21.27276 16.596271
## 2455        0 13.044637 21.12472 16.628659
## 2457        0 13.204147 20.96679 16.661109
## 2459        0 13.360318 20.82495 16.693623
## 2461        0 13.509710 20.69745 16.726201
## 2463        0 13.658756 20.55649 16.758842
## 2465        0 13.806695 20.41322 16.791547
## 2467        0 13.953304 20.27007 16.824316
## 2469        0 14.098045 20.13669 16.857148
## 2471        0 14.248390 20.03043 16.890045
## 2473        0 14.391244 19.92344 16.923006
## 2475        0 14.534965 19.81665 16.956031
## 2477        0 14.674231 19.71432 16.989120
## 2479        0 14.801743 19.59719 17.022275
## 2481        0 14.939533 19.48632 17.055494
## 2483        0 15.068288 19.38951 17.088777
## 2485        0 15.188868 19.29975 17.122126
## 2487        0 15.301153 19.23375 17.155540
## 2489        0 15.415208 19.14678 17.189019
## 2491        0 15.510783 19.11594 17.222563
## 2493        0 15.594977 19.07619 17.256173
## 2495        0 15.666168 19.07005 17.289848
## 2497        0 15.727019 19.06893 17.323589
## 2499        0 15.774818 19.08666 17.357396
## 2501        0 15.800921 19.13637 17.391269
## 2503        0 15.808482 19.19543 17.425208
## 2505        0 15.813018 19.26397 17.459213
## 2507        0 15.784327 19.36724 17.493285
## 2509        0 15.759337 19.48890 17.527423
## 2511        0 15.722763 19.60425 17.561628
## 2513        0 15.665611 19.75859 17.595899
## 2515        0 15.599953 19.91694 17.630238
## 2517        0 15.517456 20.08118 17.664643
## 2519        0 15.446045 20.23426 17.699115
## 2521        0 15.356553 20.41402 17.733655
## 2523        0 15.273920 20.61788 17.768262
## 2525        0 15.179424 20.80965 17.802937
## 2527        0 15.076522 21.02060 17.837679
## 2529        0 14.979612 21.25003 17.872490
## 2531        0 14.871893 21.47613 17.907368
## 2533        0 14.770738 21.72285 17.942314
## 2535        0 14.670429 21.93441 17.977328
## 2537        0 14.559271 22.17627 18.012411
## 2539        0 14.456782 22.41026 18.047562
## 2541        0 14.354868 22.69217 18.082782
## 2543        0 14.262584 22.94351 18.118070
## 2545        0 14.167677 23.19956 18.153428
## 2547        0 14.075860 23.46347 18.188854
## 2549        0 13.981751 23.71705 18.224349
## 2551        0 15.786755 19.11063 17.375143
## 2553        0 12.747529 21.42297 16.563946
## 2555        0 12.898402 21.27276 16.596271
## 2557        0 13.044637 21.12472 16.628659
## 2559        0 13.204147 20.96679 16.661109
## 2561        0 13.360318 20.82495 16.693623
## 2563        0 13.509710 20.69745 16.726201
## 2565        0 13.658756 20.55649 16.758842
## 2567        0 13.806695 20.41322 16.791547
## 2569        0 13.953304 20.27007 16.824316
## 2571        0 14.098045 20.13669 16.857148
## 2573        0 14.248390 20.03043 16.890045
## 2575        0 14.391244 19.92344 16.923006
## 2577        0 14.534965 19.81665 16.956031
## 2579        0 14.674231 19.71432 16.989120
## 2581        0 14.801743 19.59719 17.022275
## 2583        0 14.939533 19.48632 17.055494
## 2585        0 15.068288 19.38951 17.088777
## 2587        0 15.188868 19.29975 17.122126
## 2589        0 15.301153 19.23375 17.155540
## 2591        0 15.415208 19.14678 17.189019
## 2593        0 15.510783 19.11594 17.222563
## 2595        0 15.594977 19.07619 17.256173
## 2597        0 15.666168 19.07005 17.289848
## 2599        0 15.727019 19.06893 17.323589
## 2601        0 15.774818 19.08666 17.357396
## 2603        0 15.800921 19.13637 17.391269
## 2605        0 15.808482 19.19543 17.425208
## 2607        0 15.813018 19.26397 17.459213
## 2609        0 15.784327 19.36724 17.493285
## 2611        0 15.759337 19.48890 17.527423
## 2613        0 15.722763 19.60425 17.561628
## 2615        0 15.665611 19.75859 17.595899
## 2617        0 15.599953 19.91694 17.630238
## 2619        0 15.517456 20.08118 17.664643
## 2621        0 15.446045 20.23426 17.699115
## 2623        0 15.356553 20.41402 17.733655
## 2625        0 15.273920 20.61788 17.768262
## 2627        0 15.179424 20.80965 17.802937
## 2629        0 15.076522 21.02060 17.837679
## 2631        0 14.979612 21.25003 17.872490
## 2633        0 14.871893 21.47613 17.907368
## 2635        0 14.770738 21.72285 17.942314
## 2637        0 14.670429 21.93441 17.977328
## 2639        0 14.559271 22.17627 18.012411
## 2641        0 14.456782 22.41026 18.047562
## 2643        0 14.354868 22.69217 18.082782
## 2645        0 14.262584 22.94351 18.118070
## 2647        0 14.167677 23.19956 18.153428
## 2649        0 14.075860 23.46347 18.188854
## 2651        0 13.981751 23.71705 18.224349
## 2653        0 15.786755 19.11063 17.375143
## 2655        0 12.747529 21.42297 16.563946
## 2657        0 12.898402 21.27276 16.596271
## 2659        0 13.044637 21.12472 16.628659
## 2661        0 13.204147 20.96679 16.661109
## 2663        0 13.360318 20.82495 16.693623
## 2665        0 13.509710 20.69745 16.726201
## 2667        0 13.658756 20.55649 16.758842
## 2669        0 13.806695 20.41322 16.791547
## 2671        0 13.953304 20.27007 16.824316
## 2673        0 14.098045 20.13669 16.857148
## 2675        0 14.248390 20.03043 16.890045
## 2677        0 14.391244 19.92344 16.923006
## 2679        0 14.534965 19.81665 16.956031
## 2681        0 14.674231 19.71432 16.989120
## 2683        0 14.801743 19.59719 17.022275
## 2685        0 14.939533 19.48632 17.055494
## 2687        0 15.068288 19.38951 17.088777
## 2689        0 15.188868 19.29975 17.122126
## 2691        0 15.301153 19.23375 17.155540
## 2693        0 15.415208 19.14678 17.189019
## 2695        0 15.510783 19.11594 17.222563
## 2697        0 15.594977 19.07619 17.256173
## 2699        0 15.666168 19.07005 17.289848
## 2701        0 15.727019 19.06893 17.323589
## 2703        0 15.774818 19.08666 17.357396
## 2705        0 15.800921 19.13637 17.391269
## 2707        0 15.808482 19.19543 17.425208
## 2709        0 15.813018 19.26397 17.459213
## 2711        0 15.784327 19.36724 17.493285
## 2713        0 15.759337 19.48890 17.527423
## 2715        0 15.722763 19.60425 17.561628
## 2717        0 15.665611 19.75859 17.595899
## 2719        0 15.599953 19.91694 17.630238
## 2721        0 15.517456 20.08118 17.664643
## 2723        0 15.446045 20.23426 17.699115
## 2725        0 15.356553 20.41402 17.733655
## 2727        0 15.273920 20.61788 17.768262
## 2729        0 15.179424 20.80965 17.802937
## 2731        0 15.076522 21.02060 17.837679
## 2733        0 14.979612 21.25003 17.872490
## 2735        0 14.871893 21.47613 17.907368
## 2737        0 14.770738 21.72285 17.942314
## 2739        0 14.670429 21.93441 17.977328
## 2741        0 14.559271 22.17627 18.012411
## 2743        0 14.456782 22.41026 18.047562
## 2745        0 14.354868 22.69217 18.082782
## 2747        0 14.262584 22.94351 18.118070
## 2749        0 14.167677 23.19956 18.153428
## 2751        0 14.075860 23.46347 18.188854
## 2753        0 13.981751 23.71705 18.224349
## 2755        0 15.786755 19.11063 17.375143
## 2757        0 12.747529 21.42297 16.563946
## 2759        0 12.898402 21.27276 16.596271
## 2761        0 13.044637 21.12472 16.628659
## 2763        0 13.204147 20.96679 16.661109
## 2765        0 13.360318 20.82495 16.693623
## 2767        0 13.509710 20.69745 16.726201
## 2769        0 13.658756 20.55649 16.758842
## 2771        0 13.806695 20.41322 16.791547
## 2773        0 13.953304 20.27007 16.824316
## 2775        0 14.098045 20.13669 16.857148
## 2777        0 14.248390 20.03043 16.890045
## 2779        0 14.391244 19.92344 16.923006
## 2781        0 14.534965 19.81665 16.956031
## 2783        0 14.674231 19.71432 16.989120
## 2785        0 14.801743 19.59719 17.022275
## 2787        0 14.939533 19.48632 17.055494
## 2789        0 15.068288 19.38951 17.088777
## 2791        0 15.188868 19.29975 17.122126
## 2793        0 15.301153 19.23375 17.155540
## 2795        0 15.415208 19.14678 17.189019
## 2797        0 15.510783 19.11594 17.222563
## 2799        0 15.594977 19.07619 17.256173
## 2801        0 15.666168 19.07005 17.289848
## 2803        0 15.727019 19.06893 17.323589
## 2805        0 15.774818 19.08666 17.357396
## 2807        0 15.800921 19.13637 17.391269
## 2809        0 15.808482 19.19543 17.425208
## 2811        0 15.813018 19.26397 17.459213
## 2813        0 15.784327 19.36724 17.493285
## 2815        0 15.759337 19.48890 17.527423
## 2817        0 15.722763 19.60425 17.561628
## 2819        0 15.665611 19.75859 17.595899
## 2821        0 15.599953 19.91694 17.630238
## 2823        0 15.517456 20.08118 17.664643
## 2825        0 15.446045 20.23426 17.699115
## 2827        0 15.356553 20.41402 17.733655
## 2829        0 15.273920 20.61788 17.768262
## 2831        0 15.179424 20.80965 17.802937
## 2833        0 15.076522 21.02060 17.837679
## 2835        0 14.979612 21.25003 17.872490
## 2837        0 14.871893 21.47613 17.907368
## 2839        0 14.770738 21.72285 17.942314
## 2841        0 14.670429 21.93441 17.977328
## 2843        0 14.559271 22.17627 18.012411
## 2845        0 14.456782 22.41026 18.047562
## 2847        0 14.354868 22.69217 18.082782
## 2849        0 14.262584 22.94351 18.118070
## 2851        0 14.167677 23.19956 18.153428
## 2853        0 14.075860 23.46347 18.188854
## 2855        0 13.981751 23.71705 18.224349
## 2857        0 15.786755 19.11063 17.375143
## 2859        0 12.747529 21.42297 16.563946
## 2861        0 12.898402 21.27276 16.596271
## 2863        0 13.044637 21.12472 16.628659
## 2865        0 13.204147 20.96679 16.661109
## 2867        0 13.360318 20.82495 16.693623
## 2869        0 13.509710 20.69745 16.726201
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## 2873        0 13.806695 20.41322 16.791547
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## 2881        0 14.391244 19.92344 16.923006
## 2883        0 14.534965 19.81665 16.956031
## 2885        0 14.674231 19.71432 16.989120
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## 2889        0 14.939533 19.48632 17.055494
## 2891        0 15.068288 19.38951 17.088777
## 2893        0 15.188868 19.29975 17.122126
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## 2901        0 15.594977 19.07619 17.256173
## 2903        0 15.666168 19.07005 17.289848
## 2905        0 15.727019 19.06893 17.323589
## 2907        0 15.774818 19.08666 17.357396
## 2909        0 15.800921 19.13637 17.391269
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## 2913        0 15.813018 19.26397 17.459213
## 2915        0 15.784327 19.36724 17.493285
## 2917        0 15.759337 19.48890 17.527423
## 2919        0 15.722763 19.60425 17.561628
## 2921        0 15.665611 19.75859 17.595899
## 2923        0 15.599953 19.91694 17.630238
## 2925        0 15.517456 20.08118 17.664643
## 2927        0 15.446045 20.23426 17.699115
## 2929        0 15.356553 20.41402 17.733655
## 2931        0 15.273920 20.61788 17.768262
## 2933        0 15.179424 20.80965 17.802937
## 2935        0 15.076522 21.02060 17.837679
## 2937        0 14.979612 21.25003 17.872490
## 2939        0 14.871893 21.47613 17.907368
## 2941        0 14.770738 21.72285 17.942314
## 2943        0 14.670429 21.93441 17.977328
## 2945        0 14.559271 22.17627 18.012411
## 2947        0 14.456782 22.41026 18.047562
## 2949        0 14.354868 22.69217 18.082782
## 2951        0 14.262584 22.94351 18.118070
## 2953        0 14.167677 23.19956 18.153428
## 2955        0 14.075860 23.46347 18.188854
## 2957        0 13.981751 23.71705 18.224349
## 2959        0 15.786755 19.11063 17.375143
## 2961        0 12.747529 21.42297 16.563946
## 2963        0 12.898402 21.27276 16.596271
## 2965        0 13.044637 21.12472 16.628659
## 2967        0 13.204147 20.96679 16.661109
## 2969        0 13.360318 20.82495 16.693623
## 2971        0 13.509710 20.69745 16.726201
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## 2977        0 13.953304 20.27007 16.824316
## 2979        0 14.098045 20.13669 16.857148
## 2981        0 14.248390 20.03043 16.890045
## 2983        0 14.391244 19.92344 16.923006
## 2985        0 14.534965 19.81665 16.956031
## 2987        0 14.674231 19.71432 16.989120
## 2989        0 14.801743 19.59719 17.022275
## 2991        0 14.939533 19.48632 17.055494
## 2993        0 15.068288 19.38951 17.088777
## 2995        0 15.188868 19.29975 17.122126
## 2997        0 15.301153 19.23375 17.155540
## 2999        0 15.415208 19.14678 17.189019
## 3001        0 15.510783 19.11594 17.222563
## 3003        0 15.594977 19.07619 17.256173
## 3005        0 15.666168 19.07005 17.289848
## 3007        0 15.727019 19.06893 17.323589
## 3009        0 15.774818 19.08666 17.357396
## 3011        0 15.800921 19.13637 17.391269
## 3013        0 15.808482 19.19543 17.425208
## 3015        0 15.813018 19.26397 17.459213
## 3017        0 15.784327 19.36724 17.493285
## 3019        0 15.759337 19.48890 17.527423
## 3021        0 15.722763 19.60425 17.561628
## 3023        0 15.665611 19.75859 17.595899
## 3025        0 15.599953 19.91694 17.630238
## 3027        0 15.517456 20.08118 17.664643
## 3029        0 15.446045 20.23426 17.699115
## 3031        0 15.356553 20.41402 17.733655
## 3033        0 15.273920 20.61788 17.768262
## 3035        0 15.179424 20.80965 17.802937
## 3037        0 15.076522 21.02060 17.837679
## 3039        0 14.979612 21.25003 17.872490
## 3041        0 14.871893 21.47613 17.907368
## 3043        0 14.770738 21.72285 17.942314
## 3045        0 14.670429 21.93441 17.977328
## 3047        0 14.559271 22.17627 18.012411
## 3049        0 14.456782 22.41026 18.047562
## 3051        0 14.354868 22.69217 18.082782
## 3053        0 14.262584 22.94351 18.118070
## 3055        0 14.167677 23.19956 18.153428
## 3057        0 14.075860 23.46347 18.188854
## 3059        0 13.981751 23.71705 18.224349
## 3061        0 15.786755 19.11063 17.375143
## 3063        0 12.747529 21.42297 16.563946
## 3065        0 12.898402 21.27276 16.596271
## 3067        0 13.044637 21.12472 16.628659
## 3069        0 13.204147 20.96679 16.661109
## 3071        0 13.360318 20.82495 16.693623
## 3073        0 13.509710 20.69745 16.726201
## 3075        0 13.658756 20.55649 16.758842
## 3077        0 13.806695 20.41322 16.791547
## 3079        0 13.953304 20.27007 16.824316
## 3081        0 14.098045 20.13669 16.857148
## 3083        0 14.248390 20.03043 16.890045
## 3085        0 14.391244 19.92344 16.923006
## 3087        0 14.534965 19.81665 16.956031
## 3089        0 14.674231 19.71432 16.989120
## 3091        0 14.801743 19.59719 17.022275
## 3093        0 14.939533 19.48632 17.055494
## 3095        0 15.068288 19.38951 17.088777
## 3097        0 15.188868 19.29975 17.122126
## 3099        0 15.301153 19.23375 17.155540
## 3101        0 15.415208 19.14678 17.189019
## 3103        0 15.510783 19.11594 17.222563
## 3105        0 15.594977 19.07619 17.256173
## 3107        0 15.666168 19.07005 17.289848
## 3109        0 15.727019 19.06893 17.323589
## 3111        0 15.774818 19.08666 17.357396
## 3113        0 15.800921 19.13637 17.391269
## 3115        0 15.808482 19.19543 17.425208
## 3117        0 15.813018 19.26397 17.459213
## 3119        0 15.784327 19.36724 17.493285
## 3121        0 15.759337 19.48890 17.527423
## 3123        0 15.722763 19.60425 17.561628
## 3125        0 15.665611 19.75859 17.595899
## 3127        0 15.599953 19.91694 17.630238
## 3129        0 15.517456 20.08118 17.664643
## 3131        0 15.446045 20.23426 17.699115
## 3133        0 15.356553 20.41402 17.733655
## 3135        0 15.273920 20.61788 17.768262
## 3137        0 15.179424 20.80965 17.802937
## 3139        0 15.076522 21.02060 17.837679
## 3141        0 14.979612 21.25003 17.872490
## 3143        0 14.871893 21.47613 17.907368
## 3145        0 14.770738 21.72285 17.942314
## 3147        0 14.670429 21.93441 17.977328
## 3149        0 14.559271 22.17627 18.012411
## 3151        0 14.456782 22.41026 18.047562
## 3153        0 14.354868 22.69217 18.082782
## 3155        0 14.262584 22.94351 18.118070
## 3157        0 14.167677 23.19956 18.153428
## 3159        0 14.075860 23.46347 18.188854
## 3161        0 13.981751 23.71705 18.224349
## 3163        0 15.786755 19.11063 17.375143
## 3165        0 12.747529 21.42297 16.563946
## 3167        0 12.898402 21.27276 16.596271
## 3169        0 13.044637 21.12472 16.628659
## 3171        0 13.204147 20.96679 16.661109
## 3173        0 13.360318 20.82495 16.693623
## 3175        0 13.509710 20.69745 16.726201
## 3177        0 13.658756 20.55649 16.758842
## 3179        0 13.806695 20.41322 16.791547
## 3181        0 13.953304 20.27007 16.824316
## 3183        0 14.098045 20.13669 16.857148
## 3185        0 14.248390 20.03043 16.890045
## 3187        0 14.391244 19.92344 16.923006
## 3189        0 14.534965 19.81665 16.956031
## 3191        0 14.674231 19.71432 16.989120
## 3193        0 14.801743 19.59719 17.022275
## 3195        0 14.939533 19.48632 17.055494
## 3197        0 15.068288 19.38951 17.088777
## 3199        0 15.188868 19.29975 17.122126
## 3201        0 15.301153 19.23375 17.155540
## 3203        0 15.415208 19.14678 17.189019
## 3205        0 15.510783 19.11594 17.222563
## 3207        0 15.594977 19.07619 17.256173
## 3209        0 15.666168 19.07005 17.289848
## 3211        0 15.727019 19.06893 17.323589
## 3213        0 15.774818 19.08666 17.357396
## 3215        0 15.800921 19.13637 17.391269
## 3217        0 15.808482 19.19543 17.425208
## 3219        0 15.813018 19.26397 17.459213
## 3221        0 15.784327 19.36724 17.493285
## 3223        0 15.759337 19.48890 17.527423
## 3225        0 15.722763 19.60425 17.561628
## 3227        0 15.665611 19.75859 17.595899
## 3229        0 15.599953 19.91694 17.630238
## 3231        0 15.517456 20.08118 17.664643
## 3233        0 15.446045 20.23426 17.699115
## 3235        0 15.356553 20.41402 17.733655
## 3237        0 15.273920 20.61788 17.768262
## 3239        0 15.179424 20.80965 17.802937
## 3241        0 15.076522 21.02060 17.837679
## 3243        0 14.979612 21.25003 17.872490
## 3245        0 14.871893 21.47613 17.907368
## 3247        0 14.770738 21.72285 17.942314
## 3249        0 14.670429 21.93441 17.977328
## 3251        0 14.559271 22.17627 18.012411
## 3253        0 14.456782 22.41026 18.047562
## 3255        0 14.354868 22.69217 18.082782
## 3257        0 14.262584 22.94351 18.118070
## 3259        0 14.167677 23.19956 18.153428
## 3261        0 14.075860 23.46347 18.188854
## 3263        0 13.981751 23.71705 18.224349
## 3265        0 15.786755 19.11063 17.375143
## 3267        0 12.747529 21.42297 16.563946
## 3269        0 12.898402 21.27276 16.596271
## 3271        0 13.044637 21.12472 16.628659
## 3273        0 13.204147 20.96679 16.661109
## 3275        0 13.360318 20.82495 16.693623
## 3277        0 13.509710 20.69745 16.726201
## 3279        0 13.658756 20.55649 16.758842
## 3281        0 13.806695 20.41322 16.791547
## 3283        0 13.953304 20.27007 16.824316
## 3285        0 14.098045 20.13669 16.857148
## 3287        0 14.248390 20.03043 16.890045
## 3289        0 14.391244 19.92344 16.923006
## 3291        0 14.534965 19.81665 16.956031
## 3293        0 14.674231 19.71432 16.989120
## 3295        0 14.801743 19.59719 17.022275
## 3297        0 14.939533 19.48632 17.055494
## 3299        0 15.068288 19.38951 17.088777
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## 3305        0 15.415208 19.14678 17.189019
## 3307        0 15.510783 19.11594 17.222563
## 3309        0 15.594977 19.07619 17.256173
## 3311        0 15.666168 19.07005 17.289848
## 3313        0 15.727019 19.06893 17.323589
## 3315        0 15.774818 19.08666 17.357396
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## 3319        0 15.808482 19.19543 17.425208
## 3321        0 15.813018 19.26397 17.459213
## 3323        0 15.784327 19.36724 17.493285
## 3325        0 15.759337 19.48890 17.527423
## 3327        0 15.722763 19.60425 17.561628
## 3329        0 15.665611 19.75859 17.595899
## 3331        0 15.599953 19.91694 17.630238
## 3333        0 15.517456 20.08118 17.664643
## 3335        0 15.446045 20.23426 17.699115
## 3337        0 15.356553 20.41402 17.733655
## 3339        0 15.273920 20.61788 17.768262
## 3341        0 15.179424 20.80965 17.802937
## 3343        0 15.076522 21.02060 17.837679
## 3345        0 14.979612 21.25003 17.872490
## 3347        0 14.871893 21.47613 17.907368
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## 3351        0 14.670429 21.93441 17.977328
## 3353        0 14.559271 22.17627 18.012411
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## 3359        0 14.262584 22.94351 18.118070
## 3361        0 14.167677 23.19956 18.153428
## 3363        0 14.075860 23.46347 18.188854
## 3365        0 13.981751 23.71705 18.224349
## 3367        0 15.786755 19.11063 17.375143
## 3369        0 12.747529 21.42297 16.563946
## 3371        0 12.898402 21.27276 16.596271
## 3373        0 13.044637 21.12472 16.628659
## 3375        0 13.204147 20.96679 16.661109
## 3377        0 13.360318 20.82495 16.693623
## 3379        0 13.509710 20.69745 16.726201
## 3381        0 13.658756 20.55649 16.758842
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## 3389        0 14.248390 20.03043 16.890045
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## 3393        0 14.534965 19.81665 16.956031
## 3395        0 14.674231 19.71432 16.989120
## 3397        0 14.801743 19.59719 17.022275
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## 3401        0 15.068288 19.38951 17.088777
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## 3409        0 15.510783 19.11594 17.222563
## 3411        0 15.594977 19.07619 17.256173
## 3413        0 15.666168 19.07005 17.289848
## 3415        0 15.727019 19.06893 17.323589
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## 3421        0 15.808482 19.19543 17.425208
## 3423        0 15.813018 19.26397 17.459213
## 3425        0 15.784327 19.36724 17.493285
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## 3429        0 15.722763 19.60425 17.561628
## 3431        0 15.665611 19.75859 17.595899
## 3433        0 15.599953 19.91694 17.630238
## 3435        0 15.517456 20.08118 17.664643
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## 3439        0 15.356553 20.41402 17.733655
## 3441        0 15.273920 20.61788 17.768262
## 3443        0 15.179424 20.80965 17.802937
## 3445        0 15.076522 21.02060 17.837679
## 3447        0 14.979612 21.25003 17.872490
## 3449        0 14.871893 21.47613 17.907368
## 3451        0 14.770738 21.72285 17.942314
## 3453        0 14.670429 21.93441 17.977328
## 3455        0 14.559271 22.17627 18.012411
## 3457        0 14.456782 22.41026 18.047562
## 3459        0 14.354868 22.69217 18.082782
## 3461        0 14.262584 22.94351 18.118070
## 3463        0 14.167677 23.19956 18.153428
## 3465        0 14.075860 23.46347 18.188854
## 3467        0 13.981751 23.71705 18.224349
## 3469        0 15.786755 19.11063 17.375143
## 3471        0 12.747529 21.42297 16.563946
## 3473        0 12.898402 21.27276 16.596271
## 3475        0 13.044637 21.12472 16.628659
## 3477        0 13.204147 20.96679 16.661109
## 3479        0 13.360318 20.82495 16.693623
## 3481        0 13.509710 20.69745 16.726201
## 3483        0 13.658756 20.55649 16.758842
## 3485        0 13.806695 20.41322 16.791547
## 3487        0 13.953304 20.27007 16.824316
## 3489        0 14.098045 20.13669 16.857148
## 3491        0 14.248390 20.03043 16.890045
## 3493        0 14.391244 19.92344 16.923006
## 3495        0 14.534965 19.81665 16.956031
## 3497        0 14.674231 19.71432 16.989120
## 3499        0 14.801743 19.59719 17.022275
## 3501        0 14.939533 19.48632 17.055494
## 3503        0 15.068288 19.38951 17.088777
## 3505        0 15.188868 19.29975 17.122126
## 3507        0 15.301153 19.23375 17.155540
## 3509        0 15.415208 19.14678 17.189019
## 3511        0 15.510783 19.11594 17.222563
## 3513        0 15.594977 19.07619 17.256173
## 3515        0 15.666168 19.07005 17.289848
## 3517        0 15.727019 19.06893 17.323589
## 3519        0 15.774818 19.08666 17.357396
## 3521        0 15.800921 19.13637 17.391269
## 3523        0 15.808482 19.19543 17.425208
## 3525        0 15.813018 19.26397 17.459213
## 3527        0 15.784327 19.36724 17.493285
## 3529        0 15.759337 19.48890 17.527423
## 3531        0 15.722763 19.60425 17.561628
## 3533        0 15.665611 19.75859 17.595899
## 3535        0 15.599953 19.91694 17.630238
## 3537        0 15.517456 20.08118 17.664643
## 3539        0 15.446045 20.23426 17.699115
## 3541        0 15.356553 20.41402 17.733655
## 3543        0 15.273920 20.61788 17.768262
## 3545        0 15.179424 20.80965 17.802937
## 3547        0 15.076522 21.02060 17.837679
## 3549        0 14.979612 21.25003 17.872490
## 3551        0 14.871893 21.47613 17.907368
## 3553        0 14.770738 21.72285 17.942314
## 3555        0 14.670429 21.93441 17.977328
## 3557        0 14.559271 22.17627 18.012411
## 3559        0 14.456782 22.41026 18.047562
## 3561        0 14.354868 22.69217 18.082782
## 3563        0 14.262584 22.94351 18.118070
## 3565        0 14.167677 23.19956 18.153428
## 3567        0 14.075860 23.46347 18.188854
## 3569        0 13.981751 23.71705 18.224349
## 3571        0 15.786755 19.11063 17.375143
## 3573        0 12.747529 21.42297 16.563946
## 3575        0 12.898402 21.27276 16.596271
## 3577        0 13.044637 21.12472 16.628659
## 3579        0 13.204147 20.96679 16.661109
## 3581        0 13.360318 20.82495 16.693623
## 3583        0 13.509710 20.69745 16.726201
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## 3587        0 13.806695 20.41322 16.791547
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## 3591        0 14.098045 20.13669 16.857148
## 3593        0 14.248390 20.03043 16.890045
## 3595        0 14.391244 19.92344 16.923006
## 3597        0 14.534965 19.81665 16.956031
## 3599        0 14.674231 19.71432 16.989120
## 3601        0 14.801743 19.59719 17.022275
## 3603        0 14.939533 19.48632 17.055494
## 3605        0 15.068288 19.38951 17.088777
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## 3609        0 15.301153 19.23375 17.155540
## 3611        0 15.415208 19.14678 17.189019
## 3613        0 15.510783 19.11594 17.222563
## 3615        0 15.594977 19.07619 17.256173
## 3617        0 15.666168 19.07005 17.289848
## 3619        0 15.727019 19.06893 17.323589
## 3621        0 15.774818 19.08666 17.357396
## 3623        0 15.800921 19.13637 17.391269
## 3625        0 15.808482 19.19543 17.425208
## 3627        0 15.813018 19.26397 17.459213
## 3629        0 15.784327 19.36724 17.493285
## 3631        0 15.759337 19.48890 17.527423
## 3633        0 15.722763 19.60425 17.561628
## 3635        0 15.665611 19.75859 17.595899
## 3637        0 15.599953 19.91694 17.630238
## 3639        0 15.517456 20.08118 17.664643
## 3641        0 15.446045 20.23426 17.699115
## 3643        0 15.356553 20.41402 17.733655
## 3645        0 15.273920 20.61788 17.768262
## 3647        0 15.179424 20.80965 17.802937
## 3649        0 15.076522 21.02060 17.837679
## 3651        0 14.979612 21.25003 17.872490
## 3653        0 14.871893 21.47613 17.907368
## 3655        0 14.770738 21.72285 17.942314
## 3657        0 14.670429 21.93441 17.977328
## 3659        0 14.559271 22.17627 18.012411
## 3661        0 14.456782 22.41026 18.047562
## 3663        0 14.354868 22.69217 18.082782
## 3665        0 14.262584 22.94351 18.118070
## 3667        0 14.167677 23.19956 18.153428
## 3669        0 14.075860 23.46347 18.188854
## 3671        0 13.981751 23.71705 18.224349
## 3673        0 15.786755 19.11063 17.375143
## 3675        0 12.747529 21.42297 16.563946
## 3677        0 12.898402 21.27276 16.596271
## 3679        0 13.044637 21.12472 16.628659
## 3681        0 13.204147 20.96679 16.661109
## 3683        0 13.360318 20.82495 16.693623
## 3685        0 13.509710 20.69745 16.726201
## 3687        0 13.658756 20.55649 16.758842
## 3689        0 13.806695 20.41322 16.791547
## 3691        0 13.953304 20.27007 16.824316
## 3693        0 14.098045 20.13669 16.857148
## 3695        0 14.248390 20.03043 16.890045
## 3697        0 14.391244 19.92344 16.923006
## 3699        0 14.534965 19.81665 16.956031
## 3701        0 14.674231 19.71432 16.989120
## 3703        0 14.801743 19.59719 17.022275
## 3705        0 14.939533 19.48632 17.055494
## 3707        0 15.068288 19.38951 17.088777
## 3709        0 15.188868 19.29975 17.122126
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## 3713        0 15.415208 19.14678 17.189019
## 3715        0 15.510783 19.11594 17.222563
## 3717        0 15.594977 19.07619 17.256173
## 3719        0 15.666168 19.07005 17.289848
## 3721        0 15.727019 19.06893 17.323589
## 3723        0 15.774818 19.08666 17.357396
## 3725        0 15.800921 19.13637 17.391269
## 3727        0 15.808482 19.19543 17.425208
## 3729        0 15.813018 19.26397 17.459213
## 3731        0 15.784327 19.36724 17.493285
## 3733        0 15.759337 19.48890 17.527423
## 3735        0 15.722763 19.60425 17.561628
## 3737        0 15.665611 19.75859 17.595899
## 3739        0 15.599953 19.91694 17.630238
## 3741        0 15.517456 20.08118 17.664643
## 3743        0 15.446045 20.23426 17.699115
## 3745        0 15.356553 20.41402 17.733655
## 3747        0 15.273920 20.61788 17.768262
## 3749        0 15.179424 20.80965 17.802937
## 3751        0 15.076522 21.02060 17.837679
## 3753        0 14.979612 21.25003 17.872490
## 3755        0 14.871893 21.47613 17.907368
## 3757        0 14.770738 21.72285 17.942314
## 3759        0 14.670429 21.93441 17.977328
## 3761        0 14.559271 22.17627 18.012411
## 3763        0 14.456782 22.41026 18.047562
## 3765        0 14.354868 22.69217 18.082782
## 3767        0 14.262584 22.94351 18.118070
## 3769        0 14.167677 23.19956 18.153428
## 3771        0 14.075860 23.46347 18.188854
## 3773        0 13.981751 23.71705 18.224349
## 3775        0 15.786755 19.11063 17.375143
## 3777        0 12.747529 21.42297 16.563946
## 3779        0 12.898402 21.27276 16.596271
## 3781        0 13.044637 21.12472 16.628659
## 3783        0 13.204147 20.96679 16.661109
## 3785        0 13.360318 20.82495 16.693623
## 3787        0 13.509710 20.69745 16.726201
## 3789        0 13.658756 20.55649 16.758842
## 3791        0 13.806695 20.41322 16.791547
## 3793        0 13.953304 20.27007 16.824316
## 3795        0 14.098045 20.13669 16.857148
## 3797        0 14.248390 20.03043 16.890045
## 3799        0 14.391244 19.92344 16.923006
## 3801        0 14.534965 19.81665 16.956031
## 3803        0 14.674231 19.71432 16.989120
## 3805        0 14.801743 19.59719 17.022275
## 3807        0 14.939533 19.48632 17.055494
## 3809        0 15.068288 19.38951 17.088777
## 3811        0 15.188868 19.29975 17.122126
## 3813        0 15.301153 19.23375 17.155540
## 3815        0 15.415208 19.14678 17.189019
## 3817        0 15.510783 19.11594 17.222563
## 3819        0 15.594977 19.07619 17.256173
## 3821        0 15.666168 19.07005 17.289848
## 3823        0 15.727019 19.06893 17.323589
## 3825        0 15.774818 19.08666 17.357396
## 3827        0 15.800921 19.13637 17.391269
## 3829        0 15.808482 19.19543 17.425208
## 3831        0 15.813018 19.26397 17.459213
## 3833        0 15.784327 19.36724 17.493285
## 3835        0 15.759337 19.48890 17.527423
## 3837        0 15.722763 19.60425 17.561628
## 3839        0 15.665611 19.75859 17.595899
## 3841        0 15.599953 19.91694 17.630238
## 3843        0 15.517456 20.08118 17.664643
## 3845        0 15.446045 20.23426 17.699115
## 3847        0 15.356553 20.41402 17.733655
## 3849        0 15.273920 20.61788 17.768262
## 3851        0 15.179424 20.80965 17.802937
## 3853        0 15.076522 21.02060 17.837679
## 3855        0 14.979612 21.25003 17.872490
## 3857        0 14.871893 21.47613 17.907368
## 3859        0 14.770738 21.72285 17.942314
## 3861        0 14.670429 21.93441 17.977328
## 3863        0 14.559271 22.17627 18.012411
## 3865        0 14.456782 22.41026 18.047562
## 3867        0 14.354868 22.69217 18.082782
## 3869        0 14.262584 22.94351 18.118070
## 3871        0 14.167677 23.19956 18.153428
## 3873        0 14.075860 23.46347 18.188854
## 3875        0 13.981751 23.71705 18.224349
## 3877        0 15.786755 19.11063 17.375143
## 3879        0 12.747529 21.42297 16.563946
## 3881        0 12.898402 21.27276 16.596271
## 3883        0 13.044637 21.12472 16.628659
## 3885        0 13.204147 20.96679 16.661109
## 3887        0 13.360318 20.82495 16.693623
## 3889        0 13.509710 20.69745 16.726201
## 3891        0 13.658756 20.55649 16.758842
## 3893        0 13.806695 20.41322 16.791547
## 3895        0 13.953304 20.27007 16.824316
## 3897        0 14.098045 20.13669 16.857148
## 3899        0 14.248390 20.03043 16.890045
## 3901        0 14.391244 19.92344 16.923006
## 3903        0 14.534965 19.81665 16.956031
## 3905        0 14.674231 19.71432 16.989120
## 3907        0 14.801743 19.59719 17.022275
## 3909        0 14.939533 19.48632 17.055494
## 3911        0 15.068288 19.38951 17.088777
## 3913        0 15.188868 19.29975 17.122126
## 3915        0 15.301153 19.23375 17.155540
## 3917        0 15.415208 19.14678 17.189019
## 3919        0 15.510783 19.11594 17.222563
## 3921        0 15.594977 19.07619 17.256173
## 3923        0 15.666168 19.07005 17.289848
## 3925        0 15.727019 19.06893 17.323589
## 3927        0 15.774818 19.08666 17.357396
## 3929        0 15.800921 19.13637 17.391269
## 3931        0 15.808482 19.19543 17.425208
## 3933        0 15.813018 19.26397 17.459213
## 3935        0 15.784327 19.36724 17.493285
## 3937        0 15.759337 19.48890 17.527423
## 3939        0 15.722763 19.60425 17.561628
## 3941        0 15.665611 19.75859 17.595899
## 3943        0 15.599953 19.91694 17.630238
## 3945        0 15.517456 20.08118 17.664643
## 3947        0 15.446045 20.23426 17.699115
## 3949        0 15.356553 20.41402 17.733655
## 3951        0 15.273920 20.61788 17.768262
## 3953        0 15.179424 20.80965 17.802937
## 3955        0 15.076522 21.02060 17.837679
## 3957        0 14.979612 21.25003 17.872490
## 3959        0 14.871893 21.47613 17.907368
## 3961        0 14.770738 21.72285 17.942314
## 3963        0 14.670429 21.93441 17.977328
## 3965        0 14.559271 22.17627 18.012411
## 3967        0 14.456782 22.41026 18.047562
## 3969        0 14.354868 22.69217 18.082782
## 3971        0 14.262584 22.94351 18.118070
## 3973        0 14.167677 23.19956 18.153428
## 3975        0 14.075860 23.46347 18.188854
## 3977        0 13.981751 23.71705 18.224349
## 3979        0 15.786755 19.11063 17.375143
## 3981        0 12.747529 21.42297 16.563946
## 3983        0 12.898402 21.27276 16.596271
## 3985        0 13.044637 21.12472 16.628659
## 3987        0 13.204147 20.96679 16.661109
## 3989        0 13.360318 20.82495 16.693623
## 3991        0 13.509710 20.69745 16.726201
## 3993        0 13.658756 20.55649 16.758842
## 3995        0 13.806695 20.41322 16.791547
## 3997        0 13.953304 20.27007 16.824316
## 3999        0 14.098045 20.13669 16.857148
## 4001        0 14.248390 20.03043 16.890045
## 4003        0 14.391244 19.92344 16.923006
## 4005        0 14.534965 19.81665 16.956031
## 4007        0 14.674231 19.71432 16.989120
## 4009        0 14.801743 19.59719 17.022275
## 4011        0 14.939533 19.48632 17.055494
## 4013        0 15.068288 19.38951 17.088777
## 4015        0 15.188868 19.29975 17.122126
## 4017        0 15.301153 19.23375 17.155540
## 4019        0 15.415208 19.14678 17.189019
## 4021        0 15.510783 19.11594 17.222563
## 4023        0 15.594977 19.07619 17.256173
## 4025        0 15.666168 19.07005 17.289848
## 4027        0 15.727019 19.06893 17.323589
## 4029        0 15.774818 19.08666 17.357396
## 4031        0 15.800921 19.13637 17.391269
## 4033        0 15.808482 19.19543 17.425208
## 4035        0 15.813018 19.26397 17.459213
## 4037        0 15.784327 19.36724 17.493285
## 4039        0 15.759337 19.48890 17.527423
## 4041        0 15.722763 19.60425 17.561628
## 4043        0 15.665611 19.75859 17.595899
## 4045        0 15.599953 19.91694 17.630238
## 4047        0 15.517456 20.08118 17.664643
## 4049        0 15.446045 20.23426 17.699115
## 4051        0 15.356553 20.41402 17.733655
## 4053        0 15.273920 20.61788 17.768262
## 4055        0 15.179424 20.80965 17.802937
## 4057        0 15.076522 21.02060 17.837679
## 4059        0 14.979612 21.25003 17.872490
## 4061        0 14.871893 21.47613 17.907368
## 4063        0 14.770738 21.72285 17.942314
## 4065        0 14.670429 21.93441 17.977328
## 4067        0 14.559271 22.17627 18.012411
## 4069        0 14.456782 22.41026 18.047562
## 4071        0 14.354868 22.69217 18.082782
## 4073        0 14.262584 22.94351 18.118070
## 4075        0 14.167677 23.19956 18.153428
## 4077        0 14.075860 23.46347 18.188854
## 4079        0 13.981751 23.71705 18.224349
## 4081        0 15.786755 19.11063 17.375143
## 4083        0 12.747529 21.42297 16.563946
## 4085        0 12.898402 21.27276 16.596271
## 4087        0 13.044637 21.12472 16.628659
## 4089        0 13.204147 20.96679 16.661109
## 4091        0 13.360318 20.82495 16.693623
## 4093        0 13.509710 20.69745 16.726201
## 4095        0 13.658756 20.55649 16.758842
## 4097        0 13.806695 20.41322 16.791547
## 4099        0 13.953304 20.27007 16.824316
## 4101        0 14.098045 20.13669 16.857148
## 4103        0 14.248390 20.03043 16.890045
## 4105        0 14.391244 19.92344 16.923006
## 4107        0 14.534965 19.81665 16.956031
## 4109        0 14.674231 19.71432 16.989120
## 4111        0 14.801743 19.59719 17.022275
## 4113        0 14.939533 19.48632 17.055494
## 4115        0 15.068288 19.38951 17.088777
## 4117        0 15.188868 19.29975 17.122126
## 4119        0 15.301153 19.23375 17.155540
## 4121        0 15.415208 19.14678 17.189019
## 4123        0 15.510783 19.11594 17.222563
## 4125        0 15.594977 19.07619 17.256173
## 4127        0 15.666168 19.07005 17.289848
## 4129        0 15.727019 19.06893 17.323589
## 4131        0 15.774818 19.08666 17.357396
## 4133        0 15.800921 19.13637 17.391269
## 4135        0 15.808482 19.19543 17.425208
## 4137        0 15.813018 19.26397 17.459213
## 4139        0 15.784327 19.36724 17.493285
## 4141        0 15.759337 19.48890 17.527423
## 4143        0 15.722763 19.60425 17.561628
## 4145        0 15.665611 19.75859 17.595899
## 4147        0 15.599953 19.91694 17.630238
## 4149        0 15.517456 20.08118 17.664643
## 4151        0 15.446045 20.23426 17.699115
## 4153        0 15.356553 20.41402 17.733655
## 4155        0 15.273920 20.61788 17.768262
## 4157        0 15.179424 20.80965 17.802937
## 4159        0 15.076522 21.02060 17.837679
## 4161        0 14.979612 21.25003 17.872490
## 4163        0 14.871893 21.47613 17.907368
## 4165        0 14.770738 21.72285 17.942314
## 4167        0 14.670429 21.93441 17.977328
## 4169        0 14.559271 22.17627 18.012411
## 4171        0 14.456782 22.41026 18.047562
## 4173        0 14.354868 22.69217 18.082782
## 4175        0 14.262584 22.94351 18.118070
## 4177        0 14.167677 23.19956 18.153428
## 4179        0 14.075860 23.46347 18.188854
## 4181        0 13.981751 23.71705 18.224349
## 4183        0 15.786755 19.11063 17.375143
## 4185        0 12.747529 21.42297 16.563946
## 4187        0 12.898402 21.27276 16.596271
## 4189        0 13.044637 21.12472 16.628659
## 4191        0 13.204147 20.96679 16.661109
## 4193        0 13.360318 20.82495 16.693623
## 4195        0 13.509710 20.69745 16.726201
## 4197        0 13.658756 20.55649 16.758842
## 4199        0 13.806695 20.41322 16.791547
## 4201        0 13.953304 20.27007 16.824316
## 4203        0 14.098045 20.13669 16.857148
## 4205        0 14.248390 20.03043 16.890045
## 4207        0 14.391244 19.92344 16.923006
## 4209        0 14.534965 19.81665 16.956031
## 4211        0 14.674231 19.71432 16.989120
## 4213        0 14.801743 19.59719 17.022275
## 4215        0 14.939533 19.48632 17.055494
## 4217        0 15.068288 19.38951 17.088777
## 4219        0 15.188868 19.29975 17.122126
## 4221        0 15.301153 19.23375 17.155540
## 4223        0 15.415208 19.14678 17.189019
## 4225        0 15.510783 19.11594 17.222563
## 4227        0 15.594977 19.07619 17.256173
## 4229        0 15.666168 19.07005 17.289848
## 4231        0 15.727019 19.06893 17.323589
## 4233        0 15.774818 19.08666 17.357396
## 4235        0 15.800921 19.13637 17.391269
## 4237        0 15.808482 19.19543 17.425208
## 4239        0 15.813018 19.26397 17.459213
## 4241        0 15.784327 19.36724 17.493285
## 4243        0 15.759337 19.48890 17.527423
## 4245        0 15.722763 19.60425 17.561628
## 4247        0 15.665611 19.75859 17.595899
## 4249        0 15.599953 19.91694 17.630238
## 4251        0 15.517456 20.08118 17.664643
## 4253        0 15.446045 20.23426 17.699115
## 4255        0 15.356553 20.41402 17.733655
## 4257        0 15.273920 20.61788 17.768262
## 4259        0 15.179424 20.80965 17.802937
## 4261        0 15.076522 21.02060 17.837679
## 4263        0 14.979612 21.25003 17.872490
## 4265        0 14.871893 21.47613 17.907368
## 4267        0 14.770738 21.72285 17.942314
## 4269        0 14.670429 21.93441 17.977328
## 4271        0 14.559271 22.17627 18.012411
## 4273        0 14.456782 22.41026 18.047562
## 4275        0 14.354868 22.69217 18.082782
## 4277        0 14.262584 22.94351 18.118070
## 4279        0 14.167677 23.19956 18.153428
## 4281        0 14.075860 23.46347 18.188854
## 4283        0 13.981751 23.71705 18.224349
## 4285        0 15.786755 19.11063 17.375143
## 4287        0 12.747529 21.42297 16.563946
## 4289        0 12.898402 21.27276 16.596271
## 4291        0 13.044637 21.12472 16.628659
## 4293        0 13.204147 20.96679 16.661109
## 4295        0 13.360318 20.82495 16.693623
## 4297        0 13.509710 20.69745 16.726201
## 4299        0 13.658756 20.55649 16.758842
## 4301        0 13.806695 20.41322 16.791547
## 4303        0 13.953304 20.27007 16.824316
## 4305        0 14.098045 20.13669 16.857148
## 4307        0 14.248390 20.03043 16.890045
## 4309        0 14.391244 19.92344 16.923006
## 4311        0 14.534965 19.81665 16.956031
## 4313        0 14.674231 19.71432 16.989120
## 4315        0 14.801743 19.59719 17.022275
## 4317        0 14.939533 19.48632 17.055494
## 4319        0 15.068288 19.38951 17.088777
## 4321        0 15.188868 19.29975 17.122126
## 4323        0 15.301153 19.23375 17.155540
## 4325        0 15.415208 19.14678 17.189019
## 4327        0 15.510783 19.11594 17.222563
## 4329        0 15.594977 19.07619 17.256173
## 4331        0 15.666168 19.07005 17.289848
## 4333        0 15.727019 19.06893 17.323589
## 4335        0 15.774818 19.08666 17.357396
## 4337        0 15.800921 19.13637 17.391269
## 4339        0 15.808482 19.19543 17.425208
## 4341        0 15.813018 19.26397 17.459213
## 4343        0 15.784327 19.36724 17.493285
## 4345        0 15.759337 19.48890 17.527423
## 4347        0 15.722763 19.60425 17.561628
## 4349        0 15.665611 19.75859 17.595899
## 4351        0 15.599953 19.91694 17.630238
## 4353        0 15.517456 20.08118 17.664643
## 4355        0 15.446045 20.23426 17.699115
## 4357        0 15.356553 20.41402 17.733655
## 4359        0 15.273920 20.61788 17.768262
## 4361        0 15.179424 20.80965 17.802937
## 4363        0 15.076522 21.02060 17.837679
## 4365        0 14.979612 21.25003 17.872490
## 4367        0 14.871893 21.47613 17.907368
## 4369        0 14.770738 21.72285 17.942314
## 4371        0 14.670429 21.93441 17.977328
## 4373        0 14.559271 22.17627 18.012411
## 4375        0 14.456782 22.41026 18.047562
## 4377        0 14.354868 22.69217 18.082782
## 4379        0 14.262584 22.94351 18.118070
## 4381        0 14.167677 23.19956 18.153428
## 4383        0 14.075860 23.46347 18.188854
## 4385        0 13.981751 23.71705 18.224349
## 4387        0 15.786755 19.11063 17.375143
## 4389        0 12.747529 21.42297 16.563946
## 4391        0 12.898402 21.27276 16.596271
## 4393        0 13.044637 21.12472 16.628659
## 4395        0 13.204147 20.96679 16.661109
## 4397        0 13.360318 20.82495 16.693623
## 4399        0 13.509710 20.69745 16.726201
## 4401        0 13.658756 20.55649 16.758842
## 4403        0 13.806695 20.41322 16.791547
## 4405        0 13.953304 20.27007 16.824316
## 4407        0 14.098045 20.13669 16.857148
## 4409        0 14.248390 20.03043 16.890045
## 4411        0 14.391244 19.92344 16.923006
## 4413        0 14.534965 19.81665 16.956031
## 4415        0 14.674231 19.71432 16.989120
## 4417        0 14.801743 19.59719 17.022275
## 4419        0 14.939533 19.48632 17.055494
## 4421        0 15.068288 19.38951 17.088777
## 4423        0 15.188868 19.29975 17.122126
## 4425        0 15.301153 19.23375 17.155540
## 4427        0 15.415208 19.14678 17.189019
## 4429        0 15.510783 19.11594 17.222563
## 4431        0 15.594977 19.07619 17.256173
## 4433        0 15.666168 19.07005 17.289848
## 4435        0 15.727019 19.06893 17.323589
## 4437        0 15.774818 19.08666 17.357396
## 4439        0 15.800921 19.13637 17.391269
## 4441        0 15.808482 19.19543 17.425208
## 4443        0 15.813018 19.26397 17.459213
## 4445        0 15.784327 19.36724 17.493285
## 4447        0 15.759337 19.48890 17.527423
## 4449        0 15.722763 19.60425 17.561628
## 4451        0 15.665611 19.75859 17.595899
## 4453        0 15.599953 19.91694 17.630238
## 4455        0 15.517456 20.08118 17.664643
## 4457        0 15.446045 20.23426 17.699115
## 4459        0 15.356553 20.41402 17.733655
## 4461        0 15.273920 20.61788 17.768262
## 4463        0 15.179424 20.80965 17.802937
## 4465        0 15.076522 21.02060 17.837679
## 4467        0 14.979612 21.25003 17.872490
## 4469        0 14.871893 21.47613 17.907368
## 4471        0 14.770738 21.72285 17.942314
## 4473        0 14.670429 21.93441 17.977328
## 4475        0 14.559271 22.17627 18.012411
## 4477        0 14.456782 22.41026 18.047562
## 4479        0 14.354868 22.69217 18.082782
## 4481        0 14.262584 22.94351 18.118070
## 4483        0 14.167677 23.19956 18.153428
## 4485        0 14.075860 23.46347 18.188854
## 4487        0 13.981751 23.71705 18.224349
## 4489        0 15.786755 19.11063 17.375143
## 4491        0 12.747529 21.42297 16.563946
## 4493        0 12.898402 21.27276 16.596271
## 4495        0 13.044637 21.12472 16.628659
## 4497        0 13.204147 20.96679 16.661109
## 4499        0 13.360318 20.82495 16.693623
## 4501        0 13.509710 20.69745 16.726201
## 4503        0 13.658756 20.55649 16.758842
## 4505        0 13.806695 20.41322 16.791547
## 4507        0 13.953304 20.27007 16.824316
## 4509        0 14.098045 20.13669 16.857148
## 4511        0 14.248390 20.03043 16.890045
## 4513        0 14.391244 19.92344 16.923006
## 4515        0 14.534965 19.81665 16.956031
## 4517        0 14.674231 19.71432 16.989120
## 4519        0 14.801743 19.59719 17.022275
## 4521        0 14.939533 19.48632 17.055494
## 4523        0 15.068288 19.38951 17.088777
## 4525        0 15.188868 19.29975 17.122126
## 4527        0 15.301153 19.23375 17.155540
## 4529        0 15.415208 19.14678 17.189019
## 4531        0 15.510783 19.11594 17.222563
## 4533        0 15.594977 19.07619 17.256173
## 4535        0 15.666168 19.07005 17.289848
## 4537        0 15.727019 19.06893 17.323589
## 4539        0 15.774818 19.08666 17.357396
## 4541        0 15.800921 19.13637 17.391269
## 4543        0 15.808482 19.19543 17.425208
## 4545        0 15.813018 19.26397 17.459213
## 4547        0 15.784327 19.36724 17.493285
## 4549        0 15.759337 19.48890 17.527423
## 4551        0 15.722763 19.60425 17.561628
## 4553        0 15.665611 19.75859 17.595899
## 4555        0 15.599953 19.91694 17.630238
## 4557        0 15.517456 20.08118 17.664643
## 4559        0 15.446045 20.23426 17.699115
## 4561        0 15.356553 20.41402 17.733655
## 4563        0 15.273920 20.61788 17.768262
## 4565        0 15.179424 20.80965 17.802937
## 4567        0 15.076522 21.02060 17.837679
## 4569        0 14.979612 21.25003 17.872490
## 4571        0 14.871893 21.47613 17.907368
## 4573        0 14.770738 21.72285 17.942314
## 4575        0 14.670429 21.93441 17.977328
## 4577        0 14.559271 22.17627 18.012411
## 4579        0 14.456782 22.41026 18.047562
## 4581        0 14.354868 22.69217 18.082782
## 4583        0 14.262584 22.94351 18.118070
## 4585        0 14.167677 23.19956 18.153428
## 4587        0 14.075860 23.46347 18.188854
## 4589        0 13.981751 23.71705 18.224349
## 4591        0 15.786755 19.11063 17.375143
## 4593        0 12.747529 21.42297 16.563946
## 4595        0 12.898402 21.27276 16.596271
## 4597        0 13.044637 21.12472 16.628659
## 4599        0 13.204147 20.96679 16.661109
## 4601        0 13.360318 20.82495 16.693623
## 4603        0 13.509710 20.69745 16.726201
## 4605        0 13.658756 20.55649 16.758842
## 4607        0 13.806695 20.41322 16.791547
## 4609        0 13.953304 20.27007 16.824316
## 4611        0 14.098045 20.13669 16.857148
## 4613        0 14.248390 20.03043 16.890045
## 4615        0 14.391244 19.92344 16.923006
## 4617        0 14.534965 19.81665 16.956031
## 4619        0 14.674231 19.71432 16.989120
## 4621        0 14.801743 19.59719 17.022275
## 4623        0 14.939533 19.48632 17.055494
## 4625        0 15.068288 19.38951 17.088777
## 4627        0 15.188868 19.29975 17.122126
## 4629        0 15.301153 19.23375 17.155540
## 4631        0 15.415208 19.14678 17.189019
## 4633        0 15.510783 19.11594 17.222563
## 4635        0 15.594977 19.07619 17.256173
## 4637        0 15.666168 19.07005 17.289848
## 4639        0 15.727019 19.06893 17.323589
## 4641        0 15.774818 19.08666 17.357396
## 4643        0 15.800921 19.13637 17.391269
## 4645        0 15.808482 19.19543 17.425208
## 4647        0 15.813018 19.26397 17.459213
## 4649        0 15.784327 19.36724 17.493285
## 4651        0 15.759337 19.48890 17.527423
## 4653        0 15.722763 19.60425 17.561628
## 4655        0 15.665611 19.75859 17.595899
## 4657        0 15.599953 19.91694 17.630238
## 4659        0 15.517456 20.08118 17.664643
## 4661        0 15.446045 20.23426 17.699115
## 4663        0 15.356553 20.41402 17.733655
## 4665        0 15.273920 20.61788 17.768262
## 4667        0 15.179424 20.80965 17.802937
## 4669        0 15.076522 21.02060 17.837679
## 4671        0 14.979612 21.25003 17.872490
## 4673        0 14.871893 21.47613 17.907368
## 4675        0 14.770738 21.72285 17.942314
## 4677        0 14.670429 21.93441 17.977328
## 4679        0 14.559271 22.17627 18.012411
## 4681        0 14.456782 22.41026 18.047562
## 4683        0 14.354868 22.69217 18.082782
## 4685        0 14.262584 22.94351 18.118070
## 4687        0 14.167677 23.19956 18.153428
## 4689        0 14.075860 23.46347 18.188854
## 4691        0 13.981751 23.71705 18.224349
## 4693        0 15.786755 19.11063 17.375143
## 4695        0 12.747529 21.42297 16.563946
## 4697        0 12.898402 21.27276 16.596271
## 4699        0 13.044637 21.12472 16.628659
## 4701        0 13.204147 20.96679 16.661109
## 4703        0 13.360318 20.82495 16.693623
## 4705        0 13.509710 20.69745 16.726201
## 4707        0 13.658756 20.55649 16.758842
## 4709        0 13.806695 20.41322 16.791547
## 4711        0 13.953304 20.27007 16.824316
## 4713        0 14.098045 20.13669 16.857148
## 4715        0 14.248390 20.03043 16.890045
## 4717        0 14.391244 19.92344 16.923006
## 4719        0 14.534965 19.81665 16.956031
## 4721        0 14.674231 19.71432 16.989120
## 4723        0 14.801743 19.59719 17.022275
## 4725        0 14.939533 19.48632 17.055494
## 4727        0 15.068288 19.38951 17.088777
## 4729        0 15.188868 19.29975 17.122126
## 4731        0 15.301153 19.23375 17.155540
## 4733        0 15.415208 19.14678 17.189019
## 4735        0 15.510783 19.11594 17.222563
## 4737        0 15.594977 19.07619 17.256173
## 4739        0 15.666168 19.07005 17.289848
## 4741        0 15.727019 19.06893 17.323589
## 4743        0 15.774818 19.08666 17.357396
## 4745        0 15.800921 19.13637 17.391269
## 4747        0 15.808482 19.19543 17.425208
## 4749        0 15.813018 19.26397 17.459213
## 4751        0 15.784327 19.36724 17.493285
## 4753        0 15.759337 19.48890 17.527423
## 4755        0 15.722763 19.60425 17.561628
## 4757        0 15.665611 19.75859 17.595899
## 4759        0 15.599953 19.91694 17.630238
## 4761        0 15.517456 20.08118 17.664643
## 4763        0 15.446045 20.23426 17.699115
## 4765        0 15.356553 20.41402 17.733655
## 4767        0 15.273920 20.61788 17.768262
## 4769        0 15.179424 20.80965 17.802937
## 4771        0 15.076522 21.02060 17.837679
## 4773        0 14.979612 21.25003 17.872490
## 4775        0 14.871893 21.47613 17.907368
## 4777        0 14.770738 21.72285 17.942314
## 4779        0 14.670429 21.93441 17.977328
## 4781        0 14.559271 22.17627 18.012411
## 4783        0 14.456782 22.41026 18.047562
## 4785        0 14.354868 22.69217 18.082782
## 4787        0 14.262584 22.94351 18.118070
## 4789        0 14.167677 23.19956 18.153428
## 4791        0 14.075860 23.46347 18.188854
## 4793        0 13.981751 23.71705 18.224349
## 4795        0 15.786755 19.11063 17.375143
## 4797        0 12.747529 21.42297 16.563946
## 4799        0 12.898402 21.27276 16.596271
## 4801        0 13.044637 21.12472 16.628659
## 4803        0 13.204147 20.96679 16.661109
## 4805        0 13.360318 20.82495 16.693623
## 4807        0 13.509710 20.69745 16.726201
## 4809        0 13.658756 20.55649 16.758842
## 4811        0 13.806695 20.41322 16.791547
## 4813        0 13.953304 20.27007 16.824316
## 4815        0 14.098045 20.13669 16.857148
## 4817        0 14.248390 20.03043 16.890045
## 4819        0 14.391244 19.92344 16.923006
## 4821        0 14.534965 19.81665 16.956031
## 4823        0 14.674231 19.71432 16.989120
## 4825        0 14.801743 19.59719 17.022275
## 4827        0 14.939533 19.48632 17.055494
## 4829        0 15.068288 19.38951 17.088777
## 4831        0 15.188868 19.29975 17.122126
## 4833        0 15.301153 19.23375 17.155540
## 4835        0 15.415208 19.14678 17.189019
## 4837        0 15.510783 19.11594 17.222563
## 4839        0 15.594977 19.07619 17.256173
## 4841        0 15.666168 19.07005 17.289848
## 4843        0 15.727019 19.06893 17.323589
## 4845        0 15.774818 19.08666 17.357396
## 4847        0 15.800921 19.13637 17.391269
## 4849        0 15.808482 19.19543 17.425208
## 4851        0 15.813018 19.26397 17.459213
## 4853        0 15.784327 19.36724 17.493285
## 4855        0 15.759337 19.48890 17.527423
## 4857        0 15.722763 19.60425 17.561628
## 4859        0 15.665611 19.75859 17.595899
## 4861        0 15.599953 19.91694 17.630238
## 4863        0 15.517456 20.08118 17.664643
## 4865        0 15.446045 20.23426 17.699115
## 4867        0 15.356553 20.41402 17.733655
## 4869        0 15.273920 20.61788 17.768262
## 4871        0 15.179424 20.80965 17.802937
## 4873        0 15.076522 21.02060 17.837679
## 4875        0 14.979612 21.25003 17.872490
## 4877        0 14.871893 21.47613 17.907368
## 4879        0 14.770738 21.72285 17.942314
## 4881        0 14.670429 21.93441 17.977328
## 4883        0 14.559271 22.17627 18.012411
## 4885        0 14.456782 22.41026 18.047562
## 4887        0 14.354868 22.69217 18.082782
## 4889        0 14.262584 22.94351 18.118070
## 4891        0 14.167677 23.19956 18.153428
## 4893        0 14.075860 23.46347 18.188854
## 4895        0 13.981751 23.71705 18.224349
## 4897        0 15.786755 19.11063 17.375143
## 4899        0 12.747529 21.42297 16.563946
## 4901        0 12.898402 21.27276 16.596271
## 4903        0 13.044637 21.12472 16.628659
## 4905        0 13.204147 20.96679 16.661109
## 4907        0 13.360318 20.82495 16.693623
## 4909        0 13.509710 20.69745 16.726201
## 4911        0 13.658756 20.55649 16.758842
## 4913        0 13.806695 20.41322 16.791547
## 4915        0 13.953304 20.27007 16.824316
## 4917        0 14.098045 20.13669 16.857148
## 4919        0 14.248390 20.03043 16.890045
## 4921        0 14.391244 19.92344 16.923006
## 4923        0 14.534965 19.81665 16.956031
## 4925        0 14.674231 19.71432 16.989120
## 4927        0 14.801743 19.59719 17.022275
## 4929        0 14.939533 19.48632 17.055494
## 4931        0 15.068288 19.38951 17.088777
## 4933        0 15.188868 19.29975 17.122126
## 4935        0 15.301153 19.23375 17.155540
## 4937        0 15.415208 19.14678 17.189019
## 4939        0 15.510783 19.11594 17.222563
## 4941        0 15.594977 19.07619 17.256173
## 4943        0 15.666168 19.07005 17.289848
## 4945        0 15.727019 19.06893 17.323589
## 4947        0 15.774818 19.08666 17.357396
## 4949        0 15.800921 19.13637 17.391269
## 4951        0 15.808482 19.19543 17.425208
## 4953        0 15.813018 19.26397 17.459213
## 4955        0 15.784327 19.36724 17.493285
## 4957        0 15.759337 19.48890 17.527423
## 4959        0 15.722763 19.60425 17.561628
## 4961        0 15.665611 19.75859 17.595899
## 4963        0 15.599953 19.91694 17.630238
## 4965        0 15.517456 20.08118 17.664643
## 4967        0 15.446045 20.23426 17.699115
## 4969        0 15.356553 20.41402 17.733655
## 4971        0 15.273920 20.61788 17.768262
## 4973        0 15.179424 20.80965 17.802937
## 4975        0 15.076522 21.02060 17.837679
## 4977        0 14.979612 21.25003 17.872490
## 4979        0 14.871893 21.47613 17.907368
## 4981        0 14.770738 21.72285 17.942314
## 4983        0 14.670429 21.93441 17.977328
## 4985        0 14.559271 22.17627 18.012411
## 4987        0 14.456782 22.41026 18.047562
## 4989        0 14.354868 22.69217 18.082782
## 4991        0 14.262584 22.94351 18.118070
## 4993        0 14.167677 23.19956 18.153428
## 4995        0 14.075860 23.46347 18.188854
## 4997        0 13.981751 23.71705 18.224349
## 4999        0 15.786755 19.11063 17.375143
## 5001        0 12.747529 21.42297 16.563946
## 5003        0 12.898402 21.27276 16.596271
## 5005        0 13.044637 21.12472 16.628659
## 5007        0 13.204147 20.96679 16.661109
## 5009        0 13.360318 20.82495 16.693623
## 5011        0 13.509710 20.69745 16.726201
## 5013        0 13.658756 20.55649 16.758842
## 5015        0 13.806695 20.41322 16.791547
## 5017        0 13.953304 20.27007 16.824316
## 5019        0 14.098045 20.13669 16.857148
## 5021        0 14.248390 20.03043 16.890045
## 5023        0 14.391244 19.92344 16.923006
## 5025        0 14.534965 19.81665 16.956031
## 5027        0 14.674231 19.71432 16.989120
## 5029        0 14.801743 19.59719 17.022275
## 5031        0 14.939533 19.48632 17.055494
## 5033        0 15.068288 19.38951 17.088777
## 5035        0 15.188868 19.29975 17.122126
## 5037        0 15.301153 19.23375 17.155540
## 5039        0 15.415208 19.14678 17.189019
## 5041        0 15.510783 19.11594 17.222563
## 5043        0 15.594977 19.07619 17.256173
## 5045        0 15.666168 19.07005 17.289848
## 5047        0 15.727019 19.06893 17.323589
## 5049        0 15.774818 19.08666 17.357396
## 5051        0 15.800921 19.13637 17.391269
## 5053        0 15.808482 19.19543 17.425208
## 5055        0 15.813018 19.26397 17.459213
## 5057        0 15.784327 19.36724 17.493285
## 5059        0 15.759337 19.48890 17.527423
## 5061        0 15.722763 19.60425 17.561628
## 5063        0 15.665611 19.75859 17.595899
## 5065        0 15.599953 19.91694 17.630238
## 5067        0 15.517456 20.08118 17.664643
## 5069        0 15.446045 20.23426 17.699115
## 5071        0 15.356553 20.41402 17.733655
## 5073        0 15.273920 20.61788 17.768262
## 5075        0 15.179424 20.80965 17.802937
## 5077        0 15.076522 21.02060 17.837679
## 5079        0 14.979612 21.25003 17.872490
## 5081        0 14.871893 21.47613 17.907368
## 5083        0 14.770738 21.72285 17.942314
## 5085        0 14.670429 21.93441 17.977328
## 5087        0 14.559271 22.17627 18.012411
## 5089        0 14.456782 22.41026 18.047562
## 5091        0 14.354868 22.69217 18.082782
## 5093        0 14.262584 22.94351 18.118070
## 5095        0 14.167677 23.19956 18.153428
## 5097        0 14.075860 23.46347 18.188854
## 5099        0 13.981751 23.71705 18.224349
## 5204        0 15.786755 19.11063 17.375143
## 5206        0 12.747529 21.42297 16.563946
## 5208        0 12.898402 21.27276 16.596271
## 5210        0 13.044637 21.12472 16.628659
## 5212        0 13.204147 20.96679 16.661109
## 5214        0 13.360318 20.82495 16.693623
## 5216        0 13.509710 20.69745 16.726201
## 5218        0 13.658756 20.55649 16.758842
## 5220        0 13.806695 20.41322 16.791547
## 5222        0 13.953304 20.27007 16.824316
## 5224        0 14.098045 20.13669 16.857148
## 5226        0 14.248390 20.03043 16.890045
## 5228        0 14.391244 19.92344 16.923006
## 5230        0 14.534965 19.81665 16.956031
## 5232        0 14.674231 19.71432 16.989120
## 5234        0 14.801743 19.59719 17.022275
## 5236        0 14.939533 19.48632 17.055494
## 5238        0 15.068288 19.38951 17.088777
## 5240        0 15.188868 19.29975 17.122126
## 5242        0 15.301153 19.23375 17.155540
## 5244        0 15.415208 19.14678 17.189019
## 5246        0 15.510783 19.11594 17.222563
## 5248        0 15.594977 19.07619 17.256173
## 5250        0 15.666168 19.07005 17.289848
## 5252        0 15.727019 19.06893 17.323589
## 5254        0 15.774818 19.08666 17.357396
## 5256        0 15.800921 19.13637 17.391269
## 5258        0 15.808482 19.19543 17.425208
## 5260        0 15.813018 19.26397 17.459213
## 5262        0 15.784327 19.36724 17.493285
## 5264        0 15.759337 19.48890 17.527423
## 5266        0 15.722763 19.60425 17.561628
## 5268        0 15.665611 19.75859 17.595899
## 5270        0 15.599953 19.91694 17.630238
## 5272        0 15.517456 20.08118 17.664643
## 5274        0 15.446045 20.23426 17.699115
## 5276        0 15.356553 20.41402 17.733655
## 5278        0 15.273920 20.61788 17.768262
## 5280        0 15.179424 20.80965 17.802937
## 5282        0 15.076522 21.02060 17.837679
## 5284        0 14.979612 21.25003 17.872490
## 5286        0 14.871893 21.47613 17.907368
## 5288        0 14.770738 21.72285 17.942314
## 5290        0 14.670429 21.93441 17.977328
## 5292        0 14.559271 22.17627 18.012411
## 5294        0 14.456782 22.41026 18.047562
## 5296        0 14.354868 22.69217 18.082782
## 5298        0 14.262584 22.94351 18.118070
## 5300        0 14.167677 23.19956 18.153428
## 5302        0 14.075860 23.46347 18.188854
## 5304        0 13.981751 23.71705 18.224349
## 5306        0 15.786755 19.11063 17.375143
## 5308        0 12.747529 21.42297 16.563946
## 5310        0 12.898402 21.27276 16.596271
## 5312        0 13.044637 21.12472 16.628659
## 5314        0 13.204147 20.96679 16.661109
## 5316        0 13.360318 20.82495 16.693623
## 5318        0 13.509710 20.69745 16.726201
## 5320        0 13.658756 20.55649 16.758842
## 5322        0 13.806695 20.41322 16.791547
## 5324        0 13.953304 20.27007 16.824316
## 5326        0 14.098045 20.13669 16.857148
## 5328        0 14.248390 20.03043 16.890045
## 5330        0 14.391244 19.92344 16.923006
## 5332        0 14.534965 19.81665 16.956031
## 5334        0 14.674231 19.71432 16.989120
## 5336        0 14.801743 19.59719 17.022275
## 5338        0 14.939533 19.48632 17.055494
## 5340        0 15.068288 19.38951 17.088777
## 5342        0 15.188868 19.29975 17.122126
## 5344        0 15.301153 19.23375 17.155540
## 5346        0 15.415208 19.14678 17.189019
## 5348        0 15.510783 19.11594 17.222563
## 5350        0 15.594977 19.07619 17.256173
## 5352        0 15.666168 19.07005 17.289848
## 5354        0 15.727019 19.06893 17.323589
## 5356        0 15.774818 19.08666 17.357396
## 5358        0 15.800921 19.13637 17.391269
## 5360        0 15.808482 19.19543 17.425208
## 5362        0 15.813018 19.26397 17.459213
## 5364        0 15.784327 19.36724 17.493285
## 5366        0 15.759337 19.48890 17.527423
## 5368        0 15.722763 19.60425 17.561628
## 5370        0 15.665611 19.75859 17.595899
## 5372        0 15.599953 19.91694 17.630238
## 5374        0 15.517456 20.08118 17.664643
## 5376        0 15.446045 20.23426 17.699115
## 5378        0 15.356553 20.41402 17.733655
## 5380        0 15.273920 20.61788 17.768262
## 5382        0 15.179424 20.80965 17.802937
## 5384        0 15.076522 21.02060 17.837679
## 5386        0 14.979612 21.25003 17.872490
## 5388        0 14.871893 21.47613 17.907368
## 5390        0 14.770738 21.72285 17.942314
## 5392        0 14.670429 21.93441 17.977328
## 5394        0 14.559271 22.17627 18.012411
## 5396        0 14.456782 22.41026 18.047562
## 5398        0 14.354868 22.69217 18.082782
## 5400        0 14.262584 22.94351 18.118070
## 5402        0 14.167677 23.19956 18.153428
## 5404        0 14.075860 23.46347 18.188854
## 5406        0 13.981751 23.71705 18.224349
## 5408        0 15.786755 19.11063 17.375143
## 5410        0 12.747529 21.42297 16.563946
## 5412        0 12.898402 21.27276 16.596271
## 5414        0 13.044637 21.12472 16.628659
## 5416        0 13.204147 20.96679 16.661109
## 5418        0 13.360318 20.82495 16.693623
## 5420        0 13.509710 20.69745 16.726201
## 5422        0 13.658756 20.55649 16.758842
## 5424        0 13.806695 20.41322 16.791547
## 5426        0 13.953304 20.27007 16.824316
## 5428        0 14.098045 20.13669 16.857148
## 5430        0 14.248390 20.03043 16.890045
## 5432        0 14.391244 19.92344 16.923006
## 5434        0 14.534965 19.81665 16.956031
## 5436        0 14.674231 19.71432 16.989120
## 5438        0 14.801743 19.59719 17.022275
## 5440        0 14.939533 19.48632 17.055494
## 5442        0 15.068288 19.38951 17.088777
## 5444        0 15.188868 19.29975 17.122126
## 5446        0 15.301153 19.23375 17.155540
## 5448        0 15.415208 19.14678 17.189019
## 5450        0 15.510783 19.11594 17.222563
## 5452        0 15.594977 19.07619 17.256173
## 5454        0 15.666168 19.07005 17.289848
## 5456        0 15.727019 19.06893 17.323589
## 5458        0 15.774818 19.08666 17.357396
## 5460        0 15.800921 19.13637 17.391269
## 5462        0 15.808482 19.19543 17.425208
## 5464        0 15.813018 19.26397 17.459213
## 5466        0 15.784327 19.36724 17.493285
## 5468        0 15.759337 19.48890 17.527423
## 5470        0 15.722763 19.60425 17.561628
## 5472        0 15.665611 19.75859 17.595899
## 5474        0 15.599953 19.91694 17.630238
## 5476        0 15.517456 20.08118 17.664643
## 5478        0 15.446045 20.23426 17.699115
## 5480        0 15.356553 20.41402 17.733655
## 5482        0 15.273920 20.61788 17.768262
## 5484        0 15.179424 20.80965 17.802937
## 5486        0 15.076522 21.02060 17.837679
## 5488        0 14.979612 21.25003 17.872490
## 5490        0 14.871893 21.47613 17.907368
## 5492        0 14.770738 21.72285 17.942314
## 5494        0 14.670429 21.93441 17.977328
## 5496        0 14.559271 22.17627 18.012411
## 5498        0 14.456782 22.41026 18.047562
## 5500        0 14.354868 22.69217 18.082782
## 5502        0 14.262584 22.94351 18.118070
## 5504        0 14.167677 23.19956 18.153428
## 5506        0 14.075860 23.46347 18.188854
## 5508        0 13.981751 23.71705 18.224349
## 5510        0 15.786755 19.11063 17.375143
## 5512        0 12.747529 21.42297 16.563946
## 5514        0 12.898402 21.27276 16.596271
## 5516        0 13.044637 21.12472 16.628659
## 5518        0 13.204147 20.96679 16.661109
## 5520        0 13.360318 20.82495 16.693623
## 5522        0 13.509710 20.69745 16.726201
## 5524        0 13.658756 20.55649 16.758842
## 5526        0 13.806695 20.41322 16.791547
## 5528        0 13.953304 20.27007 16.824316
## 5530        0 14.098045 20.13669 16.857148
## 5532        0 14.248390 20.03043 16.890045
## 5534        0 14.391244 19.92344 16.923006
## 5536        0 14.534965 19.81665 16.956031
## 5538        0 14.674231 19.71432 16.989120
## 5540        0 14.801743 19.59719 17.022275
## 5542        0 14.939533 19.48632 17.055494
## 5544        0 15.068288 19.38951 17.088777
## 5546        0 15.188868 19.29975 17.122126
## 5548        0 15.301153 19.23375 17.155540
## 5550        0 15.415208 19.14678 17.189019
## 5552        0 15.510783 19.11594 17.222563
## 5554        0 15.594977 19.07619 17.256173
## 5556        0 15.666168 19.07005 17.289848
## 5558        0 15.727019 19.06893 17.323589
## 5560        0 15.774818 19.08666 17.357396
## 5562        0 15.800921 19.13637 17.391269
## 5564        0 15.808482 19.19543 17.425208
## 5566        0 15.813018 19.26397 17.459213
## 5568        0 15.784327 19.36724 17.493285
## 5570        0 15.759337 19.48890 17.527423
## 5572        0 15.722763 19.60425 17.561628
## 5574        0 15.665611 19.75859 17.595899
## 5576        0 15.599953 19.91694 17.630238
## 5578        0 15.517456 20.08118 17.664643
## 5580        0 15.446045 20.23426 17.699115
## 5582        0 15.356553 20.41402 17.733655
## 5584        0 15.273920 20.61788 17.768262
## 5586        0 15.179424 20.80965 17.802937
## 5588        0 15.076522 21.02060 17.837679
## 5590        0 14.979612 21.25003 17.872490
## 5592        0 14.871893 21.47613 17.907368
## 5594        0 14.770738 21.72285 17.942314
## 5596        0 14.670429 21.93441 17.977328
## 5598        0 14.559271 22.17627 18.012411
## 5600        0 14.456782 22.41026 18.047562
## 5602        0 14.354868 22.69217 18.082782
## 5604        0 14.262584 22.94351 18.118070
## 5606        0 14.167677 23.19956 18.153428
## 5608        0 14.075860 23.46347 18.188854
## 5610        0 13.981751 23.71705 18.224349
## 5612        0 15.786755 19.11063 17.375143
## 5614        0 12.747529 21.42297 16.563946
## 5616        0 12.898402 21.27276 16.596271
## 5618        0 13.044637 21.12472 16.628659
## 5620        0 13.204147 20.96679 16.661109
## 5622        0 13.360318 20.82495 16.693623
## 5624        0 13.509710 20.69745 16.726201
## 5626        0 13.658756 20.55649 16.758842
## 5628        0 13.806695 20.41322 16.791547
## 5630        0 13.953304 20.27007 16.824316
## 5632        0 14.098045 20.13669 16.857148
## 5634        0 14.248390 20.03043 16.890045
## 5636        0 14.391244 19.92344 16.923006
## 5638        0 14.534965 19.81665 16.956031
## 5640        0 14.674231 19.71432 16.989120
## 5642        0 14.801743 19.59719 17.022275
## 5644        0 14.939533 19.48632 17.055494
## 5646        0 15.068288 19.38951 17.088777
## 5648        0 15.188868 19.29975 17.122126
## 5650        0 15.301153 19.23375 17.155540
## 5652        0 15.415208 19.14678 17.189019
## 5654        0 15.510783 19.11594 17.222563
## 5656        0 15.594977 19.07619 17.256173
## 5658        0 15.666168 19.07005 17.289848
## 5660        0 15.727019 19.06893 17.323589
## 5662        0 15.774818 19.08666 17.357396
## 5664        0 15.800921 19.13637 17.391269
## 5666        0 15.808482 19.19543 17.425208
## 5668        0 15.813018 19.26397 17.459213
## 5670        0 15.784327 19.36724 17.493285
## 5672        0 15.759337 19.48890 17.527423
## 5674        0 15.722763 19.60425 17.561628
## 5676        0 15.665611 19.75859 17.595899
## 5678        0 15.599953 19.91694 17.630238
## 5680        0 15.517456 20.08118 17.664643
## 5682        0 15.446045 20.23426 17.699115
## 5684        0 15.356553 20.41402 17.733655
## 5686        0 15.273920 20.61788 17.768262
## 5688        0 15.179424 20.80965 17.802937
## 5690        0 15.076522 21.02060 17.837679
## 5692        0 14.979612 21.25003 17.872490
## 5694        0 14.871893 21.47613 17.907368
## 5696        0 14.770738 21.72285 17.942314
## 5698        0 14.670429 21.93441 17.977328
## 5700        0 14.559271 22.17627 18.012411
## 5702        0 14.456782 22.41026 18.047562
## 5704        0 14.354868 22.69217 18.082782
## 5706        0 14.262584 22.94351 18.118070
## 5708        0 14.167677 23.19956 18.153428
## 5710        0 14.075860 23.46347 18.188854
## 5712        0 13.981751 23.71705 18.224349
## 5714        0 15.786755 19.11063 17.375143
## 5716        0 12.747529 21.42297 16.563946
## 5718        0 12.898402 21.27276 16.596271
## 5720        0 13.044637 21.12472 16.628659
## 5722        0 13.204147 20.96679 16.661109
## 5724        0 13.360318 20.82495 16.693623
## 5726        0 13.509710 20.69745 16.726201
## 5728        0 13.658756 20.55649 16.758842
## 5730        0 13.806695 20.41322 16.791547
## 5732        0 13.953304 20.27007 16.824316
## 5734        0 14.098045 20.13669 16.857148
## 5736        0 14.248390 20.03043 16.890045
## 5738        0 14.391244 19.92344 16.923006
## 5740        0 14.534965 19.81665 16.956031
## 5742        0 14.674231 19.71432 16.989120
## 5744        0 14.801743 19.59719 17.022275
## 5746        0 14.939533 19.48632 17.055494
## 5748        0 15.068288 19.38951 17.088777
## 5750        0 15.188868 19.29975 17.122126
## 5752        0 15.301153 19.23375 17.155540
## 5754        0 15.415208 19.14678 17.189019
## 5756        0 15.510783 19.11594 17.222563
## 5758        0 15.594977 19.07619 17.256173
## 5760        0 15.666168 19.07005 17.289848
## 5762        0 15.727019 19.06893 17.323589
## 5764        0 15.774818 19.08666 17.357396
## 5766        0 15.800921 19.13637 17.391269
## 5768        0 15.808482 19.19543 17.425208
## 5770        0 15.813018 19.26397 17.459213
## 5772        0 15.784327 19.36724 17.493285
## 5774        0 15.759337 19.48890 17.527423
## 5776        0 15.722763 19.60425 17.561628
## 5778        0 15.665611 19.75859 17.595899
## 5780        0 15.599953 19.91694 17.630238
## 5782        0 15.517456 20.08118 17.664643
## 5784        0 15.446045 20.23426 17.699115
## 5786        0 15.356553 20.41402 17.733655
## 5788        0 15.273920 20.61788 17.768262
## 5790        0 15.179424 20.80965 17.802937
## 5792        0 15.076522 21.02060 17.837679
## 5794        0 14.979612 21.25003 17.872490
## 5796        0 14.871893 21.47613 17.907368
## 5798        0 14.770738 21.72285 17.942314
## 5800        0 14.670429 21.93441 17.977328
## 5802        0 14.559271 22.17627 18.012411
## 5804        0 14.456782 22.41026 18.047562
## 5806        0 14.354868 22.69217 18.082782
## 5808        0 14.262584 22.94351 18.118070
## 5810        0 14.167677 23.19956 18.153428
## 5812        0 14.075860 23.46347 18.188854
## 5814        0 13.981751 23.71705 18.224349
## 5816        0 15.786755 19.11063 17.375143
## 5818        0 12.747529 21.42297 16.563946
## 5820        0 12.898402 21.27276 16.596271
## 5822        0 13.044637 21.12472 16.628659
## 5824        0 13.204147 20.96679 16.661109
## 5826        0 13.360318 20.82495 16.693623
## 5828        0 13.509710 20.69745 16.726201
## 5830        0 13.658756 20.55649 16.758842
## 5832        0 13.806695 20.41322 16.791547
## 5834        0 13.953304 20.27007 16.824316
## 5836        0 14.098045 20.13669 16.857148
## 5838        0 14.248390 20.03043 16.890045
## 5840        0 14.391244 19.92344 16.923006
## 5842        0 14.534965 19.81665 16.956031
## 5844        0 14.674231 19.71432 16.989120
## 5846        0 14.801743 19.59719 17.022275
## 5848        0 14.939533 19.48632 17.055494
## 5850        0 15.068288 19.38951 17.088777
## 5852        0 15.188868 19.29975 17.122126
## 5854        0 15.301153 19.23375 17.155540
## 5856        0 15.415208 19.14678 17.189019
## 5858        0 15.510783 19.11594 17.222563
## 5860        0 15.594977 19.07619 17.256173
## 5862        0 15.666168 19.07005 17.289848
## 5864        0 15.727019 19.06893 17.323589
## 5866        0 15.774818 19.08666 17.357396
## 5868        0 15.800921 19.13637 17.391269
## 5870        0 15.808482 19.19543 17.425208
## 5872        0 15.813018 19.26397 17.459213
## 5874        0 15.784327 19.36724 17.493285
## 5876        0 15.759337 19.48890 17.527423
## 5878        0 15.722763 19.60425 17.561628
## 5880        0 15.665611 19.75859 17.595899
## 5882        0 15.599953 19.91694 17.630238
## 5884        0 15.517456 20.08118 17.664643
## 5886        0 15.446045 20.23426 17.699115
## 5888        0 15.356553 20.41402 17.733655
## 5890        0 15.273920 20.61788 17.768262
## 5892        0 15.179424 20.80965 17.802937
## 5894        0 15.076522 21.02060 17.837679
## 5896        0 14.979612 21.25003 17.872490
## 5898        0 14.871893 21.47613 17.907368
## 5900        0 14.770738 21.72285 17.942314
## 5902        0 14.670429 21.93441 17.977328
## 5904        0 14.559271 22.17627 18.012411
## 5906        0 14.456782 22.41026 18.047562
## 5908        0 14.354868 22.69217 18.082782
## 5910        0 14.262584 22.94351 18.118070
## 5912        0 14.167677 23.19956 18.153428
## 5914        0 14.075860 23.46347 18.188854
## 5916        0 13.981751 23.71705 18.224349
## 5918        0 15.786755 19.11063 17.375143
## 5920        0 12.747529 21.42297 16.563946
## 5922        0 12.898402 21.27276 16.596271
## 5924        0 13.044637 21.12472 16.628659
## 5926        0 13.204147 20.96679 16.661109
## 5928        0 13.360318 20.82495 16.693623
## 5930        0 13.509710 20.69745 16.726201
## 5932        0 13.658756 20.55649 16.758842
## 5934        0 13.806695 20.41322 16.791547
## 5936        0 13.953304 20.27007 16.824316
## 5938        0 14.098045 20.13669 16.857148
## 5940        0 14.248390 20.03043 16.890045
## 5942        0 14.391244 19.92344 16.923006
## 5944        0 14.534965 19.81665 16.956031
## 5946        0 14.674231 19.71432 16.989120
## 5948        0 14.801743 19.59719 17.022275
## 5950        0 14.939533 19.48632 17.055494
## 5952        0 15.068288 19.38951 17.088777
## 5954        0 15.188868 19.29975 17.122126
## 5956        0 15.301153 19.23375 17.155540
## 5958        0 15.415208 19.14678 17.189019
## 5960        0 15.510783 19.11594 17.222563
## 5962        0 15.594977 19.07619 17.256173
## 5964        0 15.666168 19.07005 17.289848
## 5966        0 15.727019 19.06893 17.323589
## 5968        0 15.774818 19.08666 17.357396
## 5970        0 15.800921 19.13637 17.391269
## 5972        0 15.808482 19.19543 17.425208
## 5974        0 15.813018 19.26397 17.459213
## 5976        0 15.784327 19.36724 17.493285
## 5978        0 15.759337 19.48890 17.527423
## 5980        0 15.722763 19.60425 17.561628
## 5982        0 15.665611 19.75859 17.595899
## 5984        0 15.599953 19.91694 17.630238
## 5986        0 15.517456 20.08118 17.664643
## 5988        0 15.446045 20.23426 17.699115
## 5990        0 15.356553 20.41402 17.733655
## 5992        0 15.273920 20.61788 17.768262
## 5994        0 15.179424 20.80965 17.802937
## 5996        0 15.076522 21.02060 17.837679
## 5998        0 14.979612 21.25003 17.872490
## 6000        0 14.871893 21.47613 17.907368
## 6002        0 14.770738 21.72285 17.942314
## 6004        0 14.670429 21.93441 17.977328
## 6006        0 14.559271 22.17627 18.012411
## 6008        0 14.456782 22.41026 18.047562
## 6010        0 14.354868 22.69217 18.082782
## 6012        0 14.262584 22.94351 18.118070
## 6014        0 14.167677 23.19956 18.153428
## 6016        0 14.075860 23.46347 18.188854
## 6018        0 13.981751 23.71705 18.224349
## 6020        0 15.786755 19.11063 17.375143
## 6022        0 12.747529 21.42297 16.563946
## 6024        0 12.898402 21.27276 16.596271
## 6026        0 13.044637 21.12472 16.628659
## 6028        0 13.204147 20.96679 16.661109
## 6030        0 13.360318 20.82495 16.693623
## 6032        0 13.509710 20.69745 16.726201
## 6034        0 13.658756 20.55649 16.758842
## 6036        0 13.806695 20.41322 16.791547
## 6038        0 13.953304 20.27007 16.824316
## 6040        0 14.098045 20.13669 16.857148
## 6042        0 14.248390 20.03043 16.890045
## 6044        0 14.391244 19.92344 16.923006
## 6046        0 14.534965 19.81665 16.956031
## 6048        0 14.674231 19.71432 16.989120
## 6050        0 14.801743 19.59719 17.022275
## 6052        0 14.939533 19.48632 17.055494
## 6054        0 15.068288 19.38951 17.088777
## 6056        0 15.188868 19.29975 17.122126
## 6058        0 15.301153 19.23375 17.155540
## 6060        0 15.415208 19.14678 17.189019
## 6062        0 15.510783 19.11594 17.222563
## 6064        0 15.594977 19.07619 17.256173
## 6066        0 15.666168 19.07005 17.289848
## 6068        0 15.727019 19.06893 17.323589
## 6070        0 15.774818 19.08666 17.357396
## 6072        0 15.800921 19.13637 17.391269
## 6074        0 15.808482 19.19543 17.425208
## 6076        0 15.813018 19.26397 17.459213
## 6078        0 15.784327 19.36724 17.493285
## 6080        0 15.759337 19.48890 17.527423
## 6082        0 15.722763 19.60425 17.561628
## 6084        0 15.665611 19.75859 17.595899
## 6086        0 15.599953 19.91694 17.630238
## 6088        0 15.517456 20.08118 17.664643
## 6090        0 15.446045 20.23426 17.699115
## 6092        0 15.356553 20.41402 17.733655
## 6094        0 15.273920 20.61788 17.768262
## 6096        0 15.179424 20.80965 17.802937
## 6098        0 15.076522 21.02060 17.837679
## 6100        0 14.979612 21.25003 17.872490
## 6102        0 14.871893 21.47613 17.907368
## 6104        0 14.770738 21.72285 17.942314
## 6106        0 14.670429 21.93441 17.977328
## 6108        0 14.559271 22.17627 18.012411
## 6110        0 14.456782 22.41026 18.047562
## 6112        0 14.354868 22.69217 18.082782
## 6114        0 14.262584 22.94351 18.118070
## 6116        0 14.167677 23.19956 18.153428
## 6118        0 14.075860 23.46347 18.188854
## 6120        0 13.981751 23.71705 18.224349
## 6122        0 15.786755 19.11063 17.375143
## 6124        0 12.747529 21.42297 16.563946
## 6126        0 12.898402 21.27276 16.596271
## 6128        0 13.044637 21.12472 16.628659
## 6130        0 13.204147 20.96679 16.661109
## 6132        0 13.360318 20.82495 16.693623
## 6134        0 13.509710 20.69745 16.726201
## 6136        0 13.658756 20.55649 16.758842
## 6138        0 13.806695 20.41322 16.791547
## 6140        0 13.953304 20.27007 16.824316
## 6142        0 14.098045 20.13669 16.857148
## 6144        0 14.248390 20.03043 16.890045
## 6146        0 14.391244 19.92344 16.923006
## 6148        0 14.534965 19.81665 16.956031
## 6150        0 14.674231 19.71432 16.989120
## 6152        0 14.801743 19.59719 17.022275
## 6154        0 14.939533 19.48632 17.055494
## 6156        0 15.068288 19.38951 17.088777
## 6158        0 15.188868 19.29975 17.122126
## 6160        0 15.301153 19.23375 17.155540
## 6162        0 15.415208 19.14678 17.189019
## 6164        0 15.510783 19.11594 17.222563
## 6166        0 15.594977 19.07619 17.256173
## 6168        0 15.666168 19.07005 17.289848
## 6170        0 15.727019 19.06893 17.323589
## 6172        0 15.774818 19.08666 17.357396
## 6174        0 15.800921 19.13637 17.391269
## 6176        0 15.808482 19.19543 17.425208
## 6178        0 15.813018 19.26397 17.459213
## 6180        0 15.784327 19.36724 17.493285
## 6182        0 15.759337 19.48890 17.527423
## 6184        0 15.722763 19.60425 17.561628
## 6186        0 15.665611 19.75859 17.595899
## 6188        0 15.599953 19.91694 17.630238
## 6190        0 15.517456 20.08118 17.664643
## 6192        0 15.446045 20.23426 17.699115
## 6194        0 15.356553 20.41402 17.733655
## 6196        0 15.273920 20.61788 17.768262
## 6198        0 15.179424 20.80965 17.802937
## 6200        0 15.076522 21.02060 17.837679
## 6202        0 14.979612 21.25003 17.872490
## 6204        0 14.871893 21.47613 17.907368
## 6206        0 14.770738 21.72285 17.942314
## 6208        0 14.670429 21.93441 17.977328
## 6210        0 14.559271 22.17627 18.012411
## 6212        0 14.456782 22.41026 18.047562
## 6214        0 14.354868 22.69217 18.082782
## 6216        0 14.262584 22.94351 18.118070
## 6218        0 14.167677 23.19956 18.153428
## 6220        0 14.075860 23.46347 18.188854
## 6222        0 13.981751 23.71705 18.224349
## 6224        0 15.786755 19.11063 17.375143
## 6226        0 12.747529 21.42297 16.563946
## 6228        0 12.898402 21.27276 16.596271
## 6230        0 13.044637 21.12472 16.628659
## 6232        0 13.204147 20.96679 16.661109
## 6234        0 13.360318 20.82495 16.693623
## 6236        0 13.509710 20.69745 16.726201
## 6238        0 13.658756 20.55649 16.758842
## 6240        0 13.806695 20.41322 16.791547
## 6242        0 13.953304 20.27007 16.824316
## 6244        0 14.098045 20.13669 16.857148
## 6246        0 14.248390 20.03043 16.890045
## 6248        0 14.391244 19.92344 16.923006
## 6250        0 14.534965 19.81665 16.956031
## 6252        0 14.674231 19.71432 16.989120
## 6254        0 14.801743 19.59719 17.022275
## 6256        0 14.939533 19.48632 17.055494
## 6258        0 15.068288 19.38951 17.088777
## 6260        0 15.188868 19.29975 17.122126
## 6262        0 15.301153 19.23375 17.155540
## 6264        0 15.415208 19.14678 17.189019
## 6266        0 15.510783 19.11594 17.222563
## 6268        0 15.594977 19.07619 17.256173
## 6270        0 15.666168 19.07005 17.289848
## 6272        0 15.727019 19.06893 17.323589
## 6274        0 15.774818 19.08666 17.357396
## 6276        0 15.800921 19.13637 17.391269
## 6278        0 15.808482 19.19543 17.425208
## 6280        0 15.813018 19.26397 17.459213
## 6282        0 15.784327 19.36724 17.493285
## 6284        0 15.759337 19.48890 17.527423
## 6286        0 15.722763 19.60425 17.561628
## 6288        0 15.665611 19.75859 17.595899
## 6290        0 15.599953 19.91694 17.630238
## 6292        0 15.517456 20.08118 17.664643
## 6294        0 15.446045 20.23426 17.699115
## 6296        0 15.356553 20.41402 17.733655
## 6298        0 15.273920 20.61788 17.768262
## 6300        0 15.179424 20.80965 17.802937
## 6302        0 15.076522 21.02060 17.837679
## 6304        0 14.979612 21.25003 17.872490
## 6306        0 14.871893 21.47613 17.907368
## 6308        0 14.770738 21.72285 17.942314
## 6310        0 14.670429 21.93441 17.977328
## 6312        0 14.559271 22.17627 18.012411
## 6314        0 14.456782 22.41026 18.047562
## 6316        0 14.354868 22.69217 18.082782
## 6318        0 14.262584 22.94351 18.118070
## 6320        0 14.167677 23.19956 18.153428
## 6322        0 14.075860 23.46347 18.188854
## 6324        0 13.981751 23.71705 18.224349
## 6326        0 15.786755 19.11063 17.375143
## 6328        0 12.747529 21.42297 16.563946
## 6330        0 12.898402 21.27276 16.596271
## 6332        0 13.044637 21.12472 16.628659
## 6334        0 13.204147 20.96679 16.661109
## 6336        0 13.360318 20.82495 16.693623
## 6338        0 13.509710 20.69745 16.726201
## 6340        0 13.658756 20.55649 16.758842
## 6342        0 13.806695 20.41322 16.791547
## 6344        0 13.953304 20.27007 16.824316
## 6346        0 14.098045 20.13669 16.857148
## 6348        0 14.248390 20.03043 16.890045
## 6350        0 14.391244 19.92344 16.923006
## 6352        0 14.534965 19.81665 16.956031
## 6354        0 14.674231 19.71432 16.989120
## 6356        0 14.801743 19.59719 17.022275
## 6358        0 14.939533 19.48632 17.055494
## 6360        0 15.068288 19.38951 17.088777
## 6362        0 15.188868 19.29975 17.122126
## 6364        0 15.301153 19.23375 17.155540
## 6366        0 15.415208 19.14678 17.189019
## 6368        0 15.510783 19.11594 17.222563
## 6370        0 15.594977 19.07619 17.256173
## 6372        0 15.666168 19.07005 17.289848
## 6374        0 15.727019 19.06893 17.323589
## 6376        0 15.774818 19.08666 17.357396
## 6378        0 15.800921 19.13637 17.391269
## 6380        0 15.808482 19.19543 17.425208
## 6382        0 15.813018 19.26397 17.459213
## 6384        0 15.784327 19.36724 17.493285
## 6386        0 15.759337 19.48890 17.527423
## 6388        0 15.722763 19.60425 17.561628
## 6390        0 15.665611 19.75859 17.595899
## 6392        0 15.599953 19.91694 17.630238
## 6394        0 15.517456 20.08118 17.664643
## 6396        0 15.446045 20.23426 17.699115
## 6398        0 15.356553 20.41402 17.733655
## 6400        0 15.273920 20.61788 17.768262
## 6402        0 15.179424 20.80965 17.802937
## 6404        0 15.076522 21.02060 17.837679
## 6406        0 14.979612 21.25003 17.872490
## 6408        0 14.871893 21.47613 17.907368
## 6410        0 14.770738 21.72285 17.942314
## 6412        0 14.670429 21.93441 17.977328
## 6414        0 14.559271 22.17627 18.012411
## 6416        0 14.456782 22.41026 18.047562
## 6418        0 14.354868 22.69217 18.082782
## 6420        0 14.262584 22.94351 18.118070
## 6422        0 14.167677 23.19956 18.153428
## 6424        0 14.075860 23.46347 18.188854
## 6426        0 13.981751 23.71705 18.224349
## 6428        0 15.786755 19.11063 17.375143
## 6430        0 12.747529 21.42297 16.563946
## 6432        0 12.898402 21.27276 16.596271
## 6434        0 13.044637 21.12472 16.628659
## 6436        0 13.204147 20.96679 16.661109
## 6438        0 13.360318 20.82495 16.693623
## 6440        0 13.509710 20.69745 16.726201
## 6442        0 13.658756 20.55649 16.758842
## 6444        0 13.806695 20.41322 16.791547
## 6446        0 13.953304 20.27007 16.824316
## 6448        0 14.098045 20.13669 16.857148
## 6450        0 14.248390 20.03043 16.890045
## 6452        0 14.391244 19.92344 16.923006
## 6454        0 14.534965 19.81665 16.956031
## 6456        0 14.674231 19.71432 16.989120
## 6458        0 14.801743 19.59719 17.022275
## 6460        0 14.939533 19.48632 17.055494
## 6462        0 15.068288 19.38951 17.088777
## 6464        0 15.188868 19.29975 17.122126
## 6466        0 15.301153 19.23375 17.155540
## 6468        0 15.415208 19.14678 17.189019
## 6470        0 15.510783 19.11594 17.222563
## 6472        0 15.594977 19.07619 17.256173
## 6474        0 15.666168 19.07005 17.289848
## 6476        0 15.727019 19.06893 17.323589
## 6478        0 15.774818 19.08666 17.357396
## 6480        0 15.800921 19.13637 17.391269
## 6482        0 15.808482 19.19543 17.425208
## 6484        0 15.813018 19.26397 17.459213
## 6486        0 15.784327 19.36724 17.493285
## 6488        0 15.759337 19.48890 17.527423
## 6490        0 15.722763 19.60425 17.561628
## 6492        0 15.665611 19.75859 17.595899
## 6494        0 15.599953 19.91694 17.630238
## 6496        0 15.517456 20.08118 17.664643
## 6498        0 15.446045 20.23426 17.699115
## 6500        0 15.356553 20.41402 17.733655
## 6502        0 15.273920 20.61788 17.768262
## 6504        0 15.179424 20.80965 17.802937
## 6506        0 15.076522 21.02060 17.837679
## 6508        0 14.979612 21.25003 17.872490
## 6510        0 14.871893 21.47613 17.907368
## 6512        0 14.770738 21.72285 17.942314
## 6514        0 14.670429 21.93441 17.977328
## 6516        0 14.559271 22.17627 18.012411
## 6518        0 14.456782 22.41026 18.047562
## 6520        0 14.354868 22.69217 18.082782
## 6522        0 14.262584 22.94351 18.118070
## 6524        0 14.167677 23.19956 18.153428
## 6526        0 14.075860 23.46347 18.188854
## 6528        0 13.981751 23.71705 18.224349
## 6530        0 15.786755 19.11063 17.375143
## 6532        0 12.747529 21.42297 16.563946
## 6534        0 12.898402 21.27276 16.596271
## 6536        0 13.044637 21.12472 16.628659
## 6538        0 13.204147 20.96679 16.661109
## 6540        0 13.360318 20.82495 16.693623
## 6542        0 13.509710 20.69745 16.726201
## 6544        0 13.658756 20.55649 16.758842
## 6546        0 13.806695 20.41322 16.791547
## 6548        0 13.953304 20.27007 16.824316
## 6550        0 14.098045 20.13669 16.857148
## 6552        0 14.248390 20.03043 16.890045
## 6554        0 14.391244 19.92344 16.923006
## 6556        0 14.534965 19.81665 16.956031
## 6558        0 14.674231 19.71432 16.989120
## 6560        0 14.801743 19.59719 17.022275
## 6562        0 14.939533 19.48632 17.055494
## 6564        0 15.068288 19.38951 17.088777
## 6566        0 15.188868 19.29975 17.122126
## 6568        0 15.301153 19.23375 17.155540
## 6570        0 15.415208 19.14678 17.189019
## 6572        0 15.510783 19.11594 17.222563
## 6574        0 15.594977 19.07619 17.256173
## 6576        0 15.666168 19.07005 17.289848
## 6578        0 15.727019 19.06893 17.323589
## 6580        0 15.774818 19.08666 17.357396
## 6582        0 15.800921 19.13637 17.391269
## 6584        0 15.808482 19.19543 17.425208
## 6586        0 15.813018 19.26397 17.459213
## 6588        0 15.784327 19.36724 17.493285
## 6590        0 15.759337 19.48890 17.527423
## 6592        0 15.722763 19.60425 17.561628
## 6594        0 15.665611 19.75859 17.595899
## 6596        0 15.599953 19.91694 17.630238
## 6598        0 15.517456 20.08118 17.664643
## 6600        0 15.446045 20.23426 17.699115
## 6602        0 15.356553 20.41402 17.733655
## 6604        0 15.273920 20.61788 17.768262
## 6606        0 15.179424 20.80965 17.802937
## 6608        0 15.076522 21.02060 17.837679
## 6610        0 14.979612 21.25003 17.872490
## 6612        0 14.871893 21.47613 17.907368
## 6614        0 14.770738 21.72285 17.942314
## 6616        0 14.670429 21.93441 17.977328
## 6618        0 14.559271 22.17627 18.012411
## 6620        0 14.456782 22.41026 18.047562
## 6622        0 14.354868 22.69217 18.082782
## 6624        0 14.262584 22.94351 18.118070
## 6626        0 14.167677 23.19956 18.153428
## 6628        0 14.075860 23.46347 18.188854
## 6630        0 13.981751 23.71705 18.224349
## 6632        0 15.786755 19.11063 17.375143
## 6634        0 12.747529 21.42297 16.563946
## 6636        0 12.898402 21.27276 16.596271
## 6638        0 13.044637 21.12472 16.628659
## 6640        0 13.204147 20.96679 16.661109
## 6642        0 13.360318 20.82495 16.693623
## 6644        0 13.509710 20.69745 16.726201
## 6646        0 13.658756 20.55649 16.758842
## 6648        0 13.806695 20.41322 16.791547
## 6650        0 13.953304 20.27007 16.824316
## 6652        0 14.098045 20.13669 16.857148
## 6654        0 14.248390 20.03043 16.890045
## 6656        0 14.391244 19.92344 16.923006
## 6658        0 14.534965 19.81665 16.956031
## 6660        0 14.674231 19.71432 16.989120
## 6662        0 14.801743 19.59719 17.022275
## 6664        0 14.939533 19.48632 17.055494
## 6666        0 15.068288 19.38951 17.088777
## 6668        0 15.188868 19.29975 17.122126
## 6670        0 15.301153 19.23375 17.155540
## 6672        0 15.415208 19.14678 17.189019
## 6674        0 15.510783 19.11594 17.222563
## 6676        0 15.594977 19.07619 17.256173
## 6678        0 15.666168 19.07005 17.289848
## 6680        0 15.727019 19.06893 17.323589
## 6682        0 15.774818 19.08666 17.357396
## 6684        0 15.800921 19.13637 17.391269
## 6686        0 15.808482 19.19543 17.425208
## 6688        0 15.813018 19.26397 17.459213
## 6690        0 15.784327 19.36724 17.493285
## 6692        0 15.759337 19.48890 17.527423
## 6694        0 15.722763 19.60425 17.561628
## 6696        0 15.665611 19.75859 17.595899
## 6698        0 15.599953 19.91694 17.630238
## 6700        0 15.517456 20.08118 17.664643
## 6702        0 15.446045 20.23426 17.699115
## 6704        0 15.356553 20.41402 17.733655
## 6706        0 15.273920 20.61788 17.768262
## 6708        0 15.179424 20.80965 17.802937
## 6710        0 15.076522 21.02060 17.837679
## 6712        0 14.979612 21.25003 17.872490
## 6714        0 14.871893 21.47613 17.907368
## 6716        0 14.770738 21.72285 17.942314
## 6718        0 14.670429 21.93441 17.977328
## 6720        0 14.559271 22.17627 18.012411
## 6722        0 14.456782 22.41026 18.047562
## 6724        0 14.354868 22.69217 18.082782
## 6726        0 14.262584 22.94351 18.118070
## 6728        0 14.167677 23.19956 18.153428
## 6730        0 14.075860 23.46347 18.188854
## 6732        0 13.981751 23.71705 18.224349
## 6734        0 15.786755 19.11063 17.375143
## 6736        0 12.747529 21.42297 16.563946
## 6738        0 12.898402 21.27276 16.596271
## 6740        0 13.044637 21.12472 16.628659
## 6742        0 13.204147 20.96679 16.661109
## 6744        0 13.360318 20.82495 16.693623
## 6746        0 13.509710 20.69745 16.726201
## 6748        0 13.658756 20.55649 16.758842
## 6750        0 13.806695 20.41322 16.791547
## 6752        0 13.953304 20.27007 16.824316
## 6754        0 14.098045 20.13669 16.857148
## 6756        0 14.248390 20.03043 16.890045
## 6758        0 14.391244 19.92344 16.923006
## 6760        0 14.534965 19.81665 16.956031
## 6762        0 14.674231 19.71432 16.989120
## 6764        0 14.801743 19.59719 17.022275
## 6766        0 14.939533 19.48632 17.055494
## 6768        0 15.068288 19.38951 17.088777
## 6770        0 15.188868 19.29975 17.122126
## 6772        0 15.301153 19.23375 17.155540
## 6774        0 15.415208 19.14678 17.189019
## 6776        0 15.510783 19.11594 17.222563
## 6778        0 15.594977 19.07619 17.256173
## 6780        0 15.666168 19.07005 17.289848
## 6782        0 15.727019 19.06893 17.323589
## 6784        0 15.774818 19.08666 17.357396
## 6786        0 15.800921 19.13637 17.391269
## 6788        0 15.808482 19.19543 17.425208
## 6790        0 15.813018 19.26397 17.459213
## 6792        0 15.784327 19.36724 17.493285
## 6794        0 15.759337 19.48890 17.527423
## 6796        0 15.722763 19.60425 17.561628
## 6798        0 15.665611 19.75859 17.595899
## 6800        0 15.599953 19.91694 17.630238
## 6802        0 15.517456 20.08118 17.664643
## 6804        0 15.446045 20.23426 17.699115
## 6806        0 15.356553 20.41402 17.733655
## 6808        0 15.273920 20.61788 17.768262
## 6810        0 15.179424 20.80965 17.802937
## 6812        0 15.076522 21.02060 17.837679
## 6814        0 14.979612 21.25003 17.872490
## 6816        0 14.871893 21.47613 17.907368
## 6818        0 14.770738 21.72285 17.942314
## 6820        0 14.670429 21.93441 17.977328
## 6822        0 14.559271 22.17627 18.012411
## 6824        0 14.456782 22.41026 18.047562
## 6826        0 14.354868 22.69217 18.082782
## 6828        0 14.262584 22.94351 18.118070
## 6830        0 14.167677 23.19956 18.153428
## 6832        0 14.075860 23.46347 18.188854
## 6834        0 13.981751 23.71705 18.224349
## 6836        0 15.786755 19.11063 17.375143
## 6838        0 12.747529 21.42297 16.563946
## 6840        0 12.898402 21.27276 16.596271
## 6842        0 13.044637 21.12472 16.628659
## 6844        0 13.204147 20.96679 16.661109
## 6846        0 13.360318 20.82495 16.693623
## 6848        0 13.509710 20.69745 16.726201
## 6850        0 13.658756 20.55649 16.758842
## 6852        0 13.806695 20.41322 16.791547
## 6854        0 13.953304 20.27007 16.824316
## 6856        0 14.098045 20.13669 16.857148
## 6858        0 14.248390 20.03043 16.890045
## 6860        0 14.391244 19.92344 16.923006
## 6862        0 14.534965 19.81665 16.956031
## 6864        0 14.674231 19.71432 16.989120
## 6866        0 14.801743 19.59719 17.022275
## 6868        0 14.939533 19.48632 17.055494
## 6870        0 15.068288 19.38951 17.088777
## 6872        0 15.188868 19.29975 17.122126
## 6874        0 15.301153 19.23375 17.155540
## 6876        0 15.415208 19.14678 17.189019
## 6878        0 15.510783 19.11594 17.222563
## 6880        0 15.594977 19.07619 17.256173
## 6882        0 15.666168 19.07005 17.289848
## 6884        0 15.727019 19.06893 17.323589
## 6886        0 15.774818 19.08666 17.357396
## 6888        0 15.800921 19.13637 17.391269
## 6890        0 15.808482 19.19543 17.425208
## 6892        0 15.813018 19.26397 17.459213
## 6894        0 15.784327 19.36724 17.493285
## 6896        0 15.759337 19.48890 17.527423
## 6898        0 15.722763 19.60425 17.561628
## 6900        0 15.665611 19.75859 17.595899
## 6902        0 15.599953 19.91694 17.630238
## 6904        0 15.517456 20.08118 17.664643
## 6906        0 15.446045 20.23426 17.699115
## 6908        0 15.356553 20.41402 17.733655
## 6910        0 15.273920 20.61788 17.768262
## 6912        0 15.179424 20.80965 17.802937
## 6914        0 15.076522 21.02060 17.837679
## 6916        0 14.979612 21.25003 17.872490
## 6918        0 14.871893 21.47613 17.907368
## 6920        0 14.770738 21.72285 17.942314
## 6922        0 14.670429 21.93441 17.977328
## 6924        0 14.559271 22.17627 18.012411
## 6926        0 14.456782 22.41026 18.047562
## 6928        0 14.354868 22.69217 18.082782
## 6930        0 14.262584 22.94351 18.118070
## 6932        0 14.167677 23.19956 18.153428
## 6934        0 14.075860 23.46347 18.188854
## 6936        0 13.981751 23.71705 18.224349
## 6938        0 15.786755 19.11063 17.375143
## 6940        0 12.747529 21.42297 16.563946
## 6942        0 12.898402 21.27276 16.596271
## 6944        0 13.044637 21.12472 16.628659
## 6946        0 13.204147 20.96679 16.661109
## 6948        0 13.360318 20.82495 16.693623
## 6950        0 13.509710 20.69745 16.726201
## 6952        0 13.658756 20.55649 16.758842
## 6954        0 13.806695 20.41322 16.791547
## 6956        0 13.953304 20.27007 16.824316
## 6958        0 14.098045 20.13669 16.857148
## 6960        0 14.248390 20.03043 16.890045
## 6962        0 14.391244 19.92344 16.923006
## 6964        0 14.534965 19.81665 16.956031
## 6966        0 14.674231 19.71432 16.989120
## 6968        0 14.801743 19.59719 17.022275
## 6970        0 14.939533 19.48632 17.055494
## 6972        0 15.068288 19.38951 17.088777
## 6974        0 15.188868 19.29975 17.122126
## 6976        0 15.301153 19.23375 17.155540
## 6978        0 15.415208 19.14678 17.189019
## 6980        0 15.510783 19.11594 17.222563
## 6982        0 15.594977 19.07619 17.256173
## 6984        0 15.666168 19.07005 17.289848
## 6986        0 15.727019 19.06893 17.323589
## 6988        0 15.774818 19.08666 17.357396
## 6990        0 15.800921 19.13637 17.391269
## 6992        0 15.808482 19.19543 17.425208
## 6994        0 15.813018 19.26397 17.459213
## 6996        0 15.784327 19.36724 17.493285
## 6998        0 15.759337 19.48890 17.527423
## 7000        0 15.722763 19.60425 17.561628
## 7002        0 15.665611 19.75859 17.595899
## 7004        0 15.599953 19.91694 17.630238
## 7006        0 15.517456 20.08118 17.664643
## 7008        0 15.446045 20.23426 17.699115
## 7010        0 15.356553 20.41402 17.733655
## 7012        0 15.273920 20.61788 17.768262
## 7014        0 15.179424 20.80965 17.802937
## 7016        0 15.076522 21.02060 17.837679
## 7018        0 14.979612 21.25003 17.872490
## 7020        0 14.871893 21.47613 17.907368
## 7022        0 14.770738 21.72285 17.942314
## 7024        0 14.670429 21.93441 17.977328
## 7026        0 14.559271 22.17627 18.012411
## 7028        0 14.456782 22.41026 18.047562
## 7030        0 14.354868 22.69217 18.082782
## 7032        0 14.262584 22.94351 18.118070
## 7034        0 14.167677 23.19956 18.153428
## 7036        0 14.075860 23.46347 18.188854
## 7038        0 13.981751 23.71705 18.224349
## 7040        0 15.786755 19.11063 17.375143
## 7042        0 12.747529 21.42297 16.563946
## 7044        0 12.898402 21.27276 16.596271
## 7046        0 13.044637 21.12472 16.628659
## 7048        0 13.204147 20.96679 16.661109
## 7050        0 13.360318 20.82495 16.693623
## 7052        0 13.509710 20.69745 16.726201
## 7054        0 13.658756 20.55649 16.758842
## 7056        0 13.806695 20.41322 16.791547
## 7058        0 13.953304 20.27007 16.824316
## 7060        0 14.098045 20.13669 16.857148
## 7062        0 14.248390 20.03043 16.890045
## 7064        0 14.391244 19.92344 16.923006
## 7066        0 14.534965 19.81665 16.956031
## 7068        0 14.674231 19.71432 16.989120
## 7070        0 14.801743 19.59719 17.022275
## 7072        0 14.939533 19.48632 17.055494
## 7074        0 15.068288 19.38951 17.088777
## 7076        0 15.188868 19.29975 17.122126
## 7078        0 15.301153 19.23375 17.155540
## 7080        0 15.415208 19.14678 17.189019
## 7082        0 15.510783 19.11594 17.222563
## 7084        0 15.594977 19.07619 17.256173
## 7086        0 15.666168 19.07005 17.289848
## 7088        0 15.727019 19.06893 17.323589
## 7090        0 15.774818 19.08666 17.357396
## 7092        0 15.800921 19.13637 17.391269
## 7094        0 15.808482 19.19543 17.425208
## 7096        0 15.813018 19.26397 17.459213
## 7098        0 15.784327 19.36724 17.493285
## 7100        0 15.759337 19.48890 17.527423
## 7102        0 15.722763 19.60425 17.561628
## 7104        0 15.665611 19.75859 17.595899
## 7106        0 15.599953 19.91694 17.630238
## 7108        0 15.517456 20.08118 17.664643
## 7110        0 15.446045 20.23426 17.699115
## 7112        0 15.356553 20.41402 17.733655
## 7114        0 15.273920 20.61788 17.768262
## 7116        0 15.179424 20.80965 17.802937
## 7118        0 15.076522 21.02060 17.837679
## 7120        0 14.979612 21.25003 17.872490
## 7122        0 14.871893 21.47613 17.907368
## 7124        0 14.770738 21.72285 17.942314
## 7126        0 14.670429 21.93441 17.977328
## 7128        0 14.559271 22.17627 18.012411
## 7130        0 14.456782 22.41026 18.047562
## 7132        0 14.354868 22.69217 18.082782
## 7134        0 14.262584 22.94351 18.118070
## 7136        0 14.167677 23.19956 18.153428
## 7138        0 14.075860 23.46347 18.188854
## 7140        0 13.981751 23.71705 18.224349
## 7142        0 15.786755 19.11063 17.375143
## 7144        0 12.747529 21.42297 16.563946
## 7146        0 12.898402 21.27276 16.596271
## 7148        0 13.044637 21.12472 16.628659
## 7150        0 13.204147 20.96679 16.661109
## 7152        0 13.360318 20.82495 16.693623
## 7154        0 13.509710 20.69745 16.726201
## 7156        0 13.658756 20.55649 16.758842
## 7158        0 13.806695 20.41322 16.791547
## 7160        0 13.953304 20.27007 16.824316
## 7162        0 14.098045 20.13669 16.857148
## 7164        0 14.248390 20.03043 16.890045
## 7166        0 14.391244 19.92344 16.923006
## 7168        0 14.534965 19.81665 16.956031
## 7170        0 14.674231 19.71432 16.989120
## 7172        0 14.801743 19.59719 17.022275
## 7174        0 14.939533 19.48632 17.055494
## 7176        0 15.068288 19.38951 17.088777
## 7178        0 15.188868 19.29975 17.122126
## 7180        0 15.301153 19.23375 17.155540
## 7182        0 15.415208 19.14678 17.189019
## 7184        0 15.510783 19.11594 17.222563
## 7186        0 15.594977 19.07619 17.256173
## 7188        0 15.666168 19.07005 17.289848
## 7190        0 15.727019 19.06893 17.323589
## 7192        0 15.774818 19.08666 17.357396
## 7194        0 15.800921 19.13637 17.391269
## 7196        0 15.808482 19.19543 17.425208
## 7198        0 15.813018 19.26397 17.459213
## 7200        0 15.784327 19.36724 17.493285
## 7202        0 15.759337 19.48890 17.527423
## 7204        0 15.722763 19.60425 17.561628
## 7206        0 15.665611 19.75859 17.595899
## 7208        0 15.599953 19.91694 17.630238
## 7210        0 15.517456 20.08118 17.664643
## 7212        0 15.446045 20.23426 17.699115
## 7214        0 15.356553 20.41402 17.733655
## 7216        0 15.273920 20.61788 17.768262
## 7218        0 15.179424 20.80965 17.802937
## 7220        0 15.076522 21.02060 17.837679
## 7222        0 14.979612 21.25003 17.872490
## 7224        0 14.871893 21.47613 17.907368
## 7226        0 14.770738 21.72285 17.942314
## 7228        0 14.670429 21.93441 17.977328
## 7230        0 14.559271 22.17627 18.012411
## 7232        0 14.456782 22.41026 18.047562
## 7234        0 14.354868 22.69217 18.082782
## 7236        0 14.262584 22.94351 18.118070
## 7238        0 14.167677 23.19956 18.153428
## 7240        0 14.075860 23.46347 18.188854
## 7242        0 13.981751 23.71705 18.224349
## 7244        0 15.786755 19.11063 17.375143
## 7246        0 12.747529 21.42297 16.563946
## 7248        0 12.898402 21.27276 16.596271
## 7250        0 13.044637 21.12472 16.628659
## 7252        0 13.204147 20.96679 16.661109
## 7254        0 13.360318 20.82495 16.693623
## 7256        0 13.509710 20.69745 16.726201
## 7258        0 13.658756 20.55649 16.758842
## 7260        0 13.806695 20.41322 16.791547
## 7262        0 13.953304 20.27007 16.824316
## 7264        0 14.098045 20.13669 16.857148
## 7266        0 14.248390 20.03043 16.890045
## 7268        0 14.391244 19.92344 16.923006
## 7270        0 14.534965 19.81665 16.956031
## 7272        0 14.674231 19.71432 16.989120
## 7274        0 14.801743 19.59719 17.022275
## 7276        0 14.939533 19.48632 17.055494
## 7278        0 15.068288 19.38951 17.088777
## 7280        0 15.188868 19.29975 17.122126
## 7282        0 15.301153 19.23375 17.155540
## 7284        0 15.415208 19.14678 17.189019
## 7286        0 15.510783 19.11594 17.222563
## 7288        0 15.594977 19.07619 17.256173
## 7290        0 15.666168 19.07005 17.289848
## 7292        0 15.727019 19.06893 17.323589
## 7294        0 15.774818 19.08666 17.357396
## 7296        0 15.800921 19.13637 17.391269
## 7298        0 15.808482 19.19543 17.425208
## 7300        0 15.813018 19.26397 17.459213
## 7302        0 15.784327 19.36724 17.493285
## 7304        0 15.759337 19.48890 17.527423
## 7306        0 15.722763 19.60425 17.561628
## 7308        0 15.665611 19.75859 17.595899
## 7310        0 15.599953 19.91694 17.630238
## 7312        0 15.517456 20.08118 17.664643
## 7314        0 15.446045 20.23426 17.699115
## 7316        0 15.356553 20.41402 17.733655
## 7318        0 15.273920 20.61788 17.768262
## 7320        0 15.179424 20.80965 17.802937
## 7322        0 15.076522 21.02060 17.837679
## 7324        0 14.979612 21.25003 17.872490
## 7326        0 14.871893 21.47613 17.907368
## 7328        0 14.770738 21.72285 17.942314
## 7330        0 14.670429 21.93441 17.977328
## 7332        0 14.559271 22.17627 18.012411
## 7334        0 14.456782 22.41026 18.047562
## 7336        0 14.354868 22.69217 18.082782
## 7338        0 14.262584 22.94351 18.118070
## 7340        0 14.167677 23.19956 18.153428
## 7342        0 14.075860 23.46347 18.188854
## 7344        0 13.981751 23.71705 18.224349
## 7346        0 15.786755 19.11063 17.375143
## 7348        0 12.747529 21.42297 16.563946
## 7350        0 12.898402 21.27276 16.596271
## 7352        0 13.044637 21.12472 16.628659
## 7354        0 13.204147 20.96679 16.661109
## 7356        0 13.360318 20.82495 16.693623
## 7358        0 13.509710 20.69745 16.726201
## 7360        0 13.658756 20.55649 16.758842
## 7362        0 13.806695 20.41322 16.791547
## 7364        0 13.953304 20.27007 16.824316
## 7366        0 14.098045 20.13669 16.857148
## 7368        0 14.248390 20.03043 16.890045
## 7370        0 14.391244 19.92344 16.923006
## 7372        0 14.534965 19.81665 16.956031
## 7374        0 14.674231 19.71432 16.989120
## 7376        0 14.801743 19.59719 17.022275
## 7378        0 14.939533 19.48632 17.055494
## 7380        0 15.068288 19.38951 17.088777
## 7382        0 15.188868 19.29975 17.122126
## 7384        0 15.301153 19.23375 17.155540
## 7386        0 15.415208 19.14678 17.189019
## 7388        0 15.510783 19.11594 17.222563
## 7390        0 15.594977 19.07619 17.256173
## 7392        0 15.666168 19.07005 17.289848
## 7394        0 15.727019 19.06893 17.323589
## 7396        0 15.774818 19.08666 17.357396
## 7398        0 15.800921 19.13637 17.391269
## 7400        0 15.808482 19.19543 17.425208
## 7402        0 15.813018 19.26397 17.459213
## 7404        0 15.784327 19.36724 17.493285
## 7406        0 15.759337 19.48890 17.527423
## 7408        0 15.722763 19.60425 17.561628
## 7410        0 15.665611 19.75859 17.595899
## 7412        0 15.599953 19.91694 17.630238
## 7414        0 15.517456 20.08118 17.664643
## 7416        0 15.446045 20.23426 17.699115
## 7418        0 15.356553 20.41402 17.733655
## 7420        0 15.273920 20.61788 17.768262
## 7422        0 15.179424 20.80965 17.802937
## 7424        0 15.076522 21.02060 17.837679
## 7426        0 14.979612 21.25003 17.872490
## 7428        0 14.871893 21.47613 17.907368
## 7430        0 14.770738 21.72285 17.942314
## 7432        0 14.670429 21.93441 17.977328
## 7434        0 14.559271 22.17627 18.012411
## 7436        0 14.456782 22.41026 18.047562
## 7438        0 14.354868 22.69217 18.082782
## 7440        0 14.262584 22.94351 18.118070
## 7442        0 14.167677 23.19956 18.153428
## 7444        0 14.075860 23.46347 18.188854
## 7446        0 13.981751 23.71705 18.224349
## 7448        0 15.786755 19.11063 17.375143
## 7450        0 12.747529 21.42297 16.563946
## 7452        0 12.898402 21.27276 16.596271
## 7454        0 13.044637 21.12472 16.628659
## 7456        0 13.204147 20.96679 16.661109
## 7458        0 13.360318 20.82495 16.693623
## 7460        0 13.509710 20.69745 16.726201
## 7462        0 13.658756 20.55649 16.758842
## 7464        0 13.806695 20.41322 16.791547
## 7466        0 13.953304 20.27007 16.824316
## 7468        0 14.098045 20.13669 16.857148
## 7470        0 14.248390 20.03043 16.890045
## 7472        0 14.391244 19.92344 16.923006
## 7474        0 14.534965 19.81665 16.956031
## 7476        0 14.674231 19.71432 16.989120
## 7478        0 14.801743 19.59719 17.022275
## 7480        0 14.939533 19.48632 17.055494
## 7482        0 15.068288 19.38951 17.088777
## 7484        0 15.188868 19.29975 17.122126
## 7486        0 15.301153 19.23375 17.155540
## 7488        0 15.415208 19.14678 17.189019
## 7490        0 15.510783 19.11594 17.222563
## 7492        0 15.594977 19.07619 17.256173
## 7494        0 15.666168 19.07005 17.289848
## 7496        0 15.727019 19.06893 17.323589
## 7498        0 15.774818 19.08666 17.357396
## 7500        0 15.800921 19.13637 17.391269
## 7502        0 15.808482 19.19543 17.425208
## 7504        0 15.813018 19.26397 17.459213
## 7506        0 15.784327 19.36724 17.493285
## 7508        0 15.759337 19.48890 17.527423
## 7510        0 15.722763 19.60425 17.561628
## 7512        0 15.665611 19.75859 17.595899
## 7514        0 15.599953 19.91694 17.630238
## 7516        0 15.517456 20.08118 17.664643
## 7518        0 15.446045 20.23426 17.699115
## 7520        0 15.356553 20.41402 17.733655
## 7522        0 15.273920 20.61788 17.768262
## 7524        0 15.179424 20.80965 17.802937
## 7526        0 15.076522 21.02060 17.837679
## 7528        0 14.979612 21.25003 17.872490
## 7530        0 14.871893 21.47613 17.907368
## 7532        0 14.770738 21.72285 17.942314
## 7534        0 14.670429 21.93441 17.977328
## 7536        0 14.559271 22.17627 18.012411
## 7538        0 14.456782 22.41026 18.047562
## 7540        0 14.354868 22.69217 18.082782
## 7542        0 14.262584 22.94351 18.118070
## 7544        0 14.167677 23.19956 18.153428
## 7546        0 14.075860 23.46347 18.188854
## 7548        0 13.981751 23.71705 18.224349
## 7550        0 15.786755 19.11063 17.375143
## 7552        0 12.747529 21.42297 16.563946
## 7554        0 12.898402 21.27276 16.596271
## 7556        0 13.044637 21.12472 16.628659
## 7558        0 13.204147 20.96679 16.661109
## 7560        0 13.360318 20.82495 16.693623
## 7562        0 13.509710 20.69745 16.726201
## 7564        0 13.658756 20.55649 16.758842
## 7566        0 13.806695 20.41322 16.791547
## 7568        0 13.953304 20.27007 16.824316
## 7570        0 14.098045 20.13669 16.857148
## 7572        0 14.248390 20.03043 16.890045
## 7574        0 14.391244 19.92344 16.923006
## 7576        0 14.534965 19.81665 16.956031
## 7578        0 14.674231 19.71432 16.989120
## 7580        0 14.801743 19.59719 17.022275
## 7582        0 14.939533 19.48632 17.055494
## 7584        0 15.068288 19.38951 17.088777
## 7586        0 15.188868 19.29975 17.122126
## 7588        0 15.301153 19.23375 17.155540
## 7590        0 15.415208 19.14678 17.189019
## 7592        0 15.510783 19.11594 17.222563
## 7594        0 15.594977 19.07619 17.256173
## 7596        0 15.666168 19.07005 17.289848
## 7598        0 15.727019 19.06893 17.323589
## 7600        0 15.774818 19.08666 17.357396
## 7602        0 15.800921 19.13637 17.391269
## 7604        0 15.808482 19.19543 17.425208
## 7606        0 15.813018 19.26397 17.459213
## 7608        0 15.784327 19.36724 17.493285
## 7610        0 15.759337 19.48890 17.527423
## 7612        0 15.722763 19.60425 17.561628
## 7614        0 15.665611 19.75859 17.595899
## 7616        0 15.599953 19.91694 17.630238
## 7618        0 15.517456 20.08118 17.664643
## 7620        0 15.446045 20.23426 17.699115
## 7622        0 15.356553 20.41402 17.733655
## 7624        0 15.273920 20.61788 17.768262
## 7626        0 15.179424 20.80965 17.802937
## 7628        0 15.076522 21.02060 17.837679
## 7630        0 14.979612 21.25003 17.872490
## 7632        0 14.871893 21.47613 17.907368
## 7634        0 14.770738 21.72285 17.942314
## 7636        0 14.670429 21.93441 17.977328
## 7638        0 14.559271 22.17627 18.012411
## 7640        0 14.456782 22.41026 18.047562
## 7642        0 14.354868 22.69217 18.082782
## 7644        0 14.262584 22.94351 18.118070
## 7646        0 14.167677 23.19956 18.153428
## 7648        0 14.075860 23.46347 18.188854
## 7650        0 13.981751 23.71705 18.224349
## 7652        0 15.786755 19.11063 17.375143
## 7654        0 12.747529 21.42297 16.563946
## 7656        0 12.898402 21.27276 16.596271
## 7658        0 13.044637 21.12472 16.628659
## 7660        0 13.204147 20.96679 16.661109
## 7662        0 13.360318 20.82495 16.693623
## 7664        0 13.509710 20.69745 16.726201
## 7666        0 13.658756 20.55649 16.758842
## 7668        0 13.806695 20.41322 16.791547
## 7670        0 13.953304 20.27007 16.824316
## 7672        0 14.098045 20.13669 16.857148
## 7674        0 14.248390 20.03043 16.890045
## 7676        0 14.391244 19.92344 16.923006
## 7678        0 14.534965 19.81665 16.956031
## 7680        0 14.674231 19.71432 16.989120
## 7682        0 14.801743 19.59719 17.022275
## 7684        0 14.939533 19.48632 17.055494
## 7686        0 15.068288 19.38951 17.088777
## 7688        0 15.188868 19.29975 17.122126
## 7690        0 15.301153 19.23375 17.155540
## 7692        0 15.415208 19.14678 17.189019
## 7694        0 15.510783 19.11594 17.222563
## 7696        0 15.594977 19.07619 17.256173
## 7698        0 15.666168 19.07005 17.289848
## 7700        0 15.727019 19.06893 17.323589
## 7702        0 15.774818 19.08666 17.357396
## 7704        0 15.800921 19.13637 17.391269
## 7706        0 15.808482 19.19543 17.425208
## 7708        0 15.813018 19.26397 17.459213
## 7710        0 15.784327 19.36724 17.493285
## 7712        0 15.759337 19.48890 17.527423
## 7714        0 15.722763 19.60425 17.561628
## 7716        0 15.665611 19.75859 17.595899
## 7718        0 15.599953 19.91694 17.630238
## 7720        0 15.517456 20.08118 17.664643
## 7722        0 15.446045 20.23426 17.699115
## 7724        0 15.356553 20.41402 17.733655
## 7726        0 15.273920 20.61788 17.768262
## 7728        0 15.179424 20.80965 17.802937
## 7730        0 15.076522 21.02060 17.837679
## 7732        0 14.979612 21.25003 17.872490
## 7734        0 14.871893 21.47613 17.907368
## 7736        0 14.770738 21.72285 17.942314
## 7738        0 14.670429 21.93441 17.977328
## 7740        0 14.559271 22.17627 18.012411
## 7742        0 14.456782 22.41026 18.047562
## 7744        0 14.354868 22.69217 18.082782
## 7746        0 14.262584 22.94351 18.118070
## 7748        0 14.167677 23.19956 18.153428
## 7750        0 14.075860 23.46347 18.188854
## 7752        0 13.981751 23.71705 18.224349
## 7754        0 15.786755 19.11063 17.375143
## 7756        0 12.747529 21.42297 16.563946
## 7758        0 12.898402 21.27276 16.596271
## 7760        0 13.044637 21.12472 16.628659
## 7762        0 13.204147 20.96679 16.661109
## 7764        0 13.360318 20.82495 16.693623
## 7766        0 13.509710 20.69745 16.726201
## 7768        0 13.658756 20.55649 16.758842
## 7770        0 13.806695 20.41322 16.791547
## 7772        0 13.953304 20.27007 16.824316
## 7774        0 14.098045 20.13669 16.857148
## 7776        0 14.248390 20.03043 16.890045
## 7778        0 14.391244 19.92344 16.923006
## 7780        0 14.534965 19.81665 16.956031
## 7782        0 14.674231 19.71432 16.989120
## 7784        0 14.801743 19.59719 17.022275
## 7786        0 14.939533 19.48632 17.055494
## 7788        0 15.068288 19.38951 17.088777
## 7790        0 15.188868 19.29975 17.122126
## 7792        0 15.301153 19.23375 17.155540
## 7794        0 15.415208 19.14678 17.189019
## 7796        0 15.510783 19.11594 17.222563
## 7798        0 15.594977 19.07619 17.256173
## 7800        0 15.666168 19.07005 17.289848
## 7802        0 15.727019 19.06893 17.323589
## 7804        0 15.774818 19.08666 17.357396
## 7806        0 15.800921 19.13637 17.391269
## 7808        0 15.808482 19.19543 17.425208
## 7810        0 15.813018 19.26397 17.459213
## 7812        0 15.784327 19.36724 17.493285
## 7814        0 15.759337 19.48890 17.527423
## 7816        0 15.722763 19.60425 17.561628
## 7818        0 15.665611 19.75859 17.595899
## 7820        0 15.599953 19.91694 17.630238
## 7822        0 15.517456 20.08118 17.664643
## 7824        0 15.446045 20.23426 17.699115
## 7826        0 15.356553 20.41402 17.733655
## 7828        0 15.273920 20.61788 17.768262
## 7830        0 15.179424 20.80965 17.802937
## 7832        0 15.076522 21.02060 17.837679
## 7834        0 14.979612 21.25003 17.872490
## 7836        0 14.871893 21.47613 17.907368
## 7838        0 14.770738 21.72285 17.942314
## 7840        0 14.670429 21.93441 17.977328
## 7842        0 14.559271 22.17627 18.012411
## 7844        0 14.456782 22.41026 18.047562
## 7846        0 14.354868 22.69217 18.082782
## 7848        0 14.262584 22.94351 18.118070
## 7850        0 14.167677 23.19956 18.153428
## 7852        0 14.075860 23.46347 18.188854
## 7854        0 13.981751 23.71705 18.224349
## 7856        0 15.786755 19.11063 17.375143
## 7858        0 12.747529 21.42297 16.563946
## 7860        0 12.898402 21.27276 16.596271
## 7862        0 13.044637 21.12472 16.628659
## 7864        0 13.204147 20.96679 16.661109
## 7866        0 13.360318 20.82495 16.693623
## 7868        0 13.509710 20.69745 16.726201
## 7870        0 13.658756 20.55649 16.758842
## 7872        0 13.806695 20.41322 16.791547
## 7874        0 13.953304 20.27007 16.824316
## 7876        0 14.098045 20.13669 16.857148
## 7878        0 14.248390 20.03043 16.890045
## 7880        0 14.391244 19.92344 16.923006
## 7882        0 14.534965 19.81665 16.956031
## 7884        0 14.674231 19.71432 16.989120
## 7886        0 14.801743 19.59719 17.022275
## 7888        0 14.939533 19.48632 17.055494
## 7890        0 15.068288 19.38951 17.088777
## 7892        0 15.188868 19.29975 17.122126
## 7894        0 15.301153 19.23375 17.155540
## 7896        0 15.415208 19.14678 17.189019
## 7898        0 15.510783 19.11594 17.222563
## 7900        0 15.594977 19.07619 17.256173
## 7902        0 15.666168 19.07005 17.289848
## 7904        0 15.727019 19.06893 17.323589
## 7906        0 15.774818 19.08666 17.357396
## 7908        0 15.800921 19.13637 17.391269
## 7910        0 15.808482 19.19543 17.425208
## 7912        0 15.813018 19.26397 17.459213
## 7914        0 15.784327 19.36724 17.493285
## 7916        0 15.759337 19.48890 17.527423
## 7918        0 15.722763 19.60425 17.561628
## 7920        0 15.665611 19.75859 17.595899
## 7922        0 15.599953 19.91694 17.630238
## 7924        0 15.517456 20.08118 17.664643
## 7926        0 15.446045 20.23426 17.699115
## 7928        0 15.356553 20.41402 17.733655
## 7930        0 15.273920 20.61788 17.768262
## 7932        0 15.179424 20.80965 17.802937
## 7934        0 15.076522 21.02060 17.837679
## 7936        0 14.979612 21.25003 17.872490
## 7938        0 14.871893 21.47613 17.907368
## 7940        0 14.770738 21.72285 17.942314
## 7942        0 14.670429 21.93441 17.977328
## 7944        0 14.559271 22.17627 18.012411
## 7946        0 14.456782 22.41026 18.047562
## 7948        0 14.354868 22.69217 18.082782
## 7950        0 14.262584 22.94351 18.118070
## 7952        0 14.167677 23.19956 18.153428
## 7954        0 14.075860 23.46347 18.188854
## 7956        0 13.981751 23.71705 18.224349
## 7958        0 15.786755 19.11063 17.375143
## 7960        0 12.747529 21.42297 16.563946
## 7962        0 12.898402 21.27276 16.596271
## 7964        0 13.044637 21.12472 16.628659
## 7966        0 13.204147 20.96679 16.661109
## 7968        0 13.360318 20.82495 16.693623
## 7970        0 13.509710 20.69745 16.726201
## 7972        0 13.658756 20.55649 16.758842
## 7974        0 13.806695 20.41322 16.791547
## 7976        0 13.953304 20.27007 16.824316
## 7978        0 14.098045 20.13669 16.857148
## 7980        0 14.248390 20.03043 16.890045
## 7982        0 14.391244 19.92344 16.923006
## 7984        0 14.534965 19.81665 16.956031
## 7986        0 14.674231 19.71432 16.989120
## 7988        0 14.801743 19.59719 17.022275
## 7990        0 14.939533 19.48632 17.055494
## 7992        0 15.068288 19.38951 17.088777
## 7994        0 15.188868 19.29975 17.122126
## 7996        0 15.301153 19.23375 17.155540
## 7998        0 15.415208 19.14678 17.189019
## 8000        0 15.510783 19.11594 17.222563
## 8002        0 15.594977 19.07619 17.256173
## 8004        0 15.666168 19.07005 17.289848
## 8006        0 15.727019 19.06893 17.323589
## 8008        0 15.774818 19.08666 17.357396
## 8010        0 15.800921 19.13637 17.391269
## 8012        0 15.808482 19.19543 17.425208
## 8014        0 15.813018 19.26397 17.459213
## 8016        0 15.784327 19.36724 17.493285
## 8018        0 15.759337 19.48890 17.527423
## 8020        0 15.722763 19.60425 17.561628
## 8022        0 15.665611 19.75859 17.595899
## 8024        0 15.599953 19.91694 17.630238
## 8026        0 15.517456 20.08118 17.664643
## 8028        0 15.446045 20.23426 17.699115
## 8030        0 15.356553 20.41402 17.733655
## 8032        0 15.273920 20.61788 17.768262
## 8034        0 15.179424 20.80965 17.802937
## 8036        0 15.076522 21.02060 17.837679
## 8038        0 14.979612 21.25003 17.872490
## 8040        0 14.871893 21.47613 17.907368
## 8042        0 14.770738 21.72285 17.942314
## 8044        0 14.670429 21.93441 17.977328
## 8046        0 14.559271 22.17627 18.012411
## 8048        0 14.456782 22.41026 18.047562
## 8050        0 14.354868 22.69217 18.082782
## 8052        0 14.262584 22.94351 18.118070
## 8054        0 14.167677 23.19956 18.153428
## 8056        0 14.075860 23.46347 18.188854
## 8058        0 13.981751 23.71705 18.224349
## 8060        0 15.786755 19.11063 17.375143
## 8062        0 12.747529 21.42297 16.563946
## 8064        0 12.898402 21.27276 16.596271
## 8066        0 13.044637 21.12472 16.628659
## 8068        0 13.204147 20.96679 16.661109
## 8070        0 13.360318 20.82495 16.693623
## 8072        0 13.509710 20.69745 16.726201
## 8074        0 13.658756 20.55649 16.758842
## 8076        0 13.806695 20.41322 16.791547
## 8078        0 13.953304 20.27007 16.824316
## 8080        0 14.098045 20.13669 16.857148
## 8082        0 14.248390 20.03043 16.890045
## 8084        0 14.391244 19.92344 16.923006
## 8086        0 14.534965 19.81665 16.956031
## 8088        0 14.674231 19.71432 16.989120
## 8090        0 14.801743 19.59719 17.022275
## 8092        0 14.939533 19.48632 17.055494
## 8094        0 15.068288 19.38951 17.088777
## 8096        0 15.188868 19.29975 17.122126
## 8098        0 15.301153 19.23375 17.155540
## 8100        0 15.415208 19.14678 17.189019
## 8102        0 15.510783 19.11594 17.222563
## 8104        0 15.594977 19.07619 17.256173
## 8106        0 15.666168 19.07005 17.289848
## 8108        0 15.727019 19.06893 17.323589
## 8110        0 15.774818 19.08666 17.357396
## 8112        0 15.800921 19.13637 17.391269
## 8114        0 15.808482 19.19543 17.425208
## 8116        0 15.813018 19.26397 17.459213
## 8118        0 15.784327 19.36724 17.493285
## 8120        0 15.759337 19.48890 17.527423
## 8122        0 15.722763 19.60425 17.561628
## 8124        0 15.665611 19.75859 17.595899
## 8126        0 15.599953 19.91694 17.630238
## 8128        0 15.517456 20.08118 17.664643
## 8130        0 15.446045 20.23426 17.699115
## 8132        0 15.356553 20.41402 17.733655
## 8134        0 15.273920 20.61788 17.768262
## 8136        0 15.179424 20.80965 17.802937
## 8138        0 15.076522 21.02060 17.837679
## 8140        0 14.979612 21.25003 17.872490
## 8142        0 14.871893 21.47613 17.907368
## 8144        0 14.770738 21.72285 17.942314
## 8146        0 14.670429 21.93441 17.977328
## 8148        0 14.559271 22.17627 18.012411
## 8150        0 14.456782 22.41026 18.047562
## 8152        0 14.354868 22.69217 18.082782
## 8154        0 14.262584 22.94351 18.118070
## 8156        0 14.167677 23.19956 18.153428
## 8158        0 14.075860 23.46347 18.188854
## 8160        0 13.981751 23.71705 18.224349
## 8162        0 15.786755 19.11063 17.375143
## 8164        0 12.747529 21.42297 16.563946
## 8166        0 12.898402 21.27276 16.596271
## 8168        0 13.044637 21.12472 16.628659
## 8170        0 13.204147 20.96679 16.661109
## 8172        0 13.360318 20.82495 16.693623
## 8174        0 13.509710 20.69745 16.726201
## 8176        0 13.658756 20.55649 16.758842
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## 8180        0 13.953304 20.27007 16.824316
## 8182        0 14.098045 20.13669 16.857148
## 8184        0 14.248390 20.03043 16.890045
## 8186        0 14.391244 19.92344 16.923006
## 8188        0 14.534965 19.81665 16.956031
## 8190        0 14.674231 19.71432 16.989120
## 8192        0 14.801743 19.59719 17.022275
## 8194        0 14.939533 19.48632 17.055494
## 8196        0 15.068288 19.38951 17.088777
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## 8200        0 15.301153 19.23375 17.155540
## 8202        0 15.415208 19.14678 17.189019
## 8204        0 15.510783 19.11594 17.222563
## 8206        0 15.594977 19.07619 17.256173
## 8208        0 15.666168 19.07005 17.289848
## 8210        0 15.727019 19.06893 17.323589
## 8212        0 15.774818 19.08666 17.357396
## 8214        0 15.800921 19.13637 17.391269
## 8216        0 15.808482 19.19543 17.425208
## 8218        0 15.813018 19.26397 17.459213
## 8220        0 15.784327 19.36724 17.493285
## 8222        0 15.759337 19.48890 17.527423
## 8224        0 15.722763 19.60425 17.561628
## 8226        0 15.665611 19.75859 17.595899
## 8228        0 15.599953 19.91694 17.630238
## 8230        0 15.517456 20.08118 17.664643
## 8232        0 15.446045 20.23426 17.699115
## 8234        0 15.356553 20.41402 17.733655
## 8236        0 15.273920 20.61788 17.768262
## 8238        0 15.179424 20.80965 17.802937
## 8240        0 15.076522 21.02060 17.837679
## 8242        0 14.979612 21.25003 17.872490
## 8244        0 14.871893 21.47613 17.907368
## 8246        0 14.770738 21.72285 17.942314
## 8248        0 14.670429 21.93441 17.977328
## 8250        0 14.559271 22.17627 18.012411
## 8252        0 14.456782 22.41026 18.047562
## 8254        0 14.354868 22.69217 18.082782
## 8256        0 14.262584 22.94351 18.118070
## 8258        0 14.167677 23.19956 18.153428
## 8260        0 14.075860 23.46347 18.188854
## 8262        0 13.981751 23.71705 18.224349
## 8264        0 15.786755 19.11063 17.375143
## 8266        0 12.747529 21.42297 16.563946
## 8268        0 12.898402 21.27276 16.596271
## 8270        0 13.044637 21.12472 16.628659
## 8272        0 13.204147 20.96679 16.661109
## 8274        0 13.360318 20.82495 16.693623
## 8276        0 13.509710 20.69745 16.726201
## 8278        0 13.658756 20.55649 16.758842
## 8280        0 13.806695 20.41322 16.791547
## 8282        0 13.953304 20.27007 16.824316
## 8284        0 14.098045 20.13669 16.857148
## 8286        0 14.248390 20.03043 16.890045
## 8288        0 14.391244 19.92344 16.923006
## 8290        0 14.534965 19.81665 16.956031
## 8292        0 14.674231 19.71432 16.989120
## 8294        0 14.801743 19.59719 17.022275
## 8296        0 14.939533 19.48632 17.055494
## 8298        0 15.068288 19.38951 17.088777
## 8300        0 15.188868 19.29975 17.122126
## 8302        0 15.301153 19.23375 17.155540
## 8304        0 15.415208 19.14678 17.189019
## 8306        0 15.510783 19.11594 17.222563
## 8308        0 15.594977 19.07619 17.256173
## 8310        0 15.666168 19.07005 17.289848
## 8312        0 15.727019 19.06893 17.323589
## 8314        0 15.774818 19.08666 17.357396
## 8316        0 15.800921 19.13637 17.391269
## 8318        0 15.808482 19.19543 17.425208
## 8320        0 15.813018 19.26397 17.459213
## 8322        0 15.784327 19.36724 17.493285
## 8324        0 15.759337 19.48890 17.527423
## 8326        0 15.722763 19.60425 17.561628
## 8328        0 15.665611 19.75859 17.595899
## 8330        0 15.599953 19.91694 17.630238
## 8332        0 15.517456 20.08118 17.664643
## 8334        0 15.446045 20.23426 17.699115
## 8336        0 15.356553 20.41402 17.733655
## 8338        0 15.273920 20.61788 17.768262
## 8340        0 15.179424 20.80965 17.802937
## 8342        0 15.076522 21.02060 17.837679
## 8344        0 14.979612 21.25003 17.872490
## 8346        0 14.871893 21.47613 17.907368
## 8348        0 14.770738 21.72285 17.942314
## 8350        0 14.670429 21.93441 17.977328
## 8352        0 14.559271 22.17627 18.012411
## 8354        0 14.456782 22.41026 18.047562
## 8356        0 14.354868 22.69217 18.082782
## 8358        0 14.262584 22.94351 18.118070
## 8360        0 14.167677 23.19956 18.153428
## 8362        0 14.075860 23.46347 18.188854
## 8364        0 13.981751 23.71705 18.224349
## 8366        0 15.786755 19.11063 17.375143
## 8368        0 12.747529 21.42297 16.563946
## 8370        0 12.898402 21.27276 16.596271
## 8372        0 13.044637 21.12472 16.628659
## 8374        0 13.204147 20.96679 16.661109
## 8376        0 13.360318 20.82495 16.693623
## 8378        0 13.509710 20.69745 16.726201
## 8380        0 13.658756 20.55649 16.758842
## 8382        0 13.806695 20.41322 16.791547
## 8384        0 13.953304 20.27007 16.824316
## 8386        0 14.098045 20.13669 16.857148
## 8388        0 14.248390 20.03043 16.890045
## 8390        0 14.391244 19.92344 16.923006
## 8392        0 14.534965 19.81665 16.956031
## 8394        0 14.674231 19.71432 16.989120
## 8396        0 14.801743 19.59719 17.022275
## 8398        0 14.939533 19.48632 17.055494
## 8400        0 15.068288 19.38951 17.088777
## 8402        0 15.188868 19.29975 17.122126
## 8404        0 15.301153 19.23375 17.155540
## 8406        0 15.415208 19.14678 17.189019
## 8408        0 15.510783 19.11594 17.222563
## 8410        0 15.594977 19.07619 17.256173
## 8412        0 15.666168 19.07005 17.289848
## 8414        0 15.727019 19.06893 17.323589
## 8416        0 15.774818 19.08666 17.357396
## 8418        0 15.800921 19.13637 17.391269
## 8420        0 15.808482 19.19543 17.425208
## 8422        0 15.813018 19.26397 17.459213
## 8424        0 15.784327 19.36724 17.493285
## 8426        0 15.759337 19.48890 17.527423
## 8428        0 15.722763 19.60425 17.561628
## 8430        0 15.665611 19.75859 17.595899
## 8432        0 15.599953 19.91694 17.630238
## 8434        0 15.517456 20.08118 17.664643
## 8436        0 15.446045 20.23426 17.699115
## 8438        0 15.356553 20.41402 17.733655
## 8440        0 15.273920 20.61788 17.768262
## 8442        0 15.179424 20.80965 17.802937
## 8444        0 15.076522 21.02060 17.837679
## 8446        0 14.979612 21.25003 17.872490
## 8448        0 14.871893 21.47613 17.907368
## 8450        0 14.770738 21.72285 17.942314
## 8452        0 14.670429 21.93441 17.977328
## 8454        0 14.559271 22.17627 18.012411
## 8456        0 14.456782 22.41026 18.047562
## 8458        0 14.354868 22.69217 18.082782
## 8460        0 14.262584 22.94351 18.118070
## 8462        0 14.167677 23.19956 18.153428
## 8464        0 14.075860 23.46347 18.188854
## 8466        0 13.981751 23.71705 18.224349
## 8468        0 15.786755 19.11063 17.375143
## 8470        0 12.747529 21.42297 16.563946
## 8472        0 12.898402 21.27276 16.596271
## 8474        0 13.044637 21.12472 16.628659
## 8476        0 13.204147 20.96679 16.661109
## 8478        0 13.360318 20.82495 16.693623
## 8480        0 13.509710 20.69745 16.726201
## 8482        0 13.658756 20.55649 16.758842
## 8484        0 13.806695 20.41322 16.791547
## 8486        0 13.953304 20.27007 16.824316
## 8488        0 14.098045 20.13669 16.857148
## 8490        0 14.248390 20.03043 16.890045
## 8492        0 14.391244 19.92344 16.923006
## 8494        0 14.534965 19.81665 16.956031
## 8496        0 14.674231 19.71432 16.989120
## 8498        0 14.801743 19.59719 17.022275
## 8500        0 14.939533 19.48632 17.055494
## 8502        0 15.068288 19.38951 17.088777
## 8504        0 15.188868 19.29975 17.122126
## 8506        0 15.301153 19.23375 17.155540
## 8508        0 15.415208 19.14678 17.189019
## 8510        0 15.510783 19.11594 17.222563
## 8512        0 15.594977 19.07619 17.256173
## 8514        0 15.666168 19.07005 17.289848
## 8516        0 15.727019 19.06893 17.323589
## 8518        0 15.774818 19.08666 17.357396
## 8520        0 15.800921 19.13637 17.391269
## 8522        0 15.808482 19.19543 17.425208
## 8524        0 15.813018 19.26397 17.459213
## 8526        0 15.784327 19.36724 17.493285
## 8528        0 15.759337 19.48890 17.527423
## 8530        0 15.722763 19.60425 17.561628
## 8532        0 15.665611 19.75859 17.595899
## 8534        0 15.599953 19.91694 17.630238
## 8536        0 15.517456 20.08118 17.664643
## 8538        0 15.446045 20.23426 17.699115
## 8540        0 15.356553 20.41402 17.733655
## 8542        0 15.273920 20.61788 17.768262
## 8544        0 15.179424 20.80965 17.802937
## 8546        0 15.076522 21.02060 17.837679
## 8548        0 14.979612 21.25003 17.872490
## 8550        0 14.871893 21.47613 17.907368
## 8552        0 14.770738 21.72285 17.942314
## 8554        0 14.670429 21.93441 17.977328
## 8556        0 14.559271 22.17627 18.012411
## 8558        0 14.456782 22.41026 18.047562
## 8560        0 14.354868 22.69217 18.082782
## 8562        0 14.262584 22.94351 18.118070
## 8564        0 14.167677 23.19956 18.153428
## 8566        0 14.075860 23.46347 18.188854
## 8568        0 13.981751 23.71705 18.224349
## 8570        0 15.786755 19.11063 17.375143
## 8572        0 12.747529 21.42297 16.563946
## 8574        0 12.898402 21.27276 16.596271
## 8576        0 13.044637 21.12472 16.628659
## 8578        0 13.204147 20.96679 16.661109
## 8580        0 13.360318 20.82495 16.693623
## 8582        0 13.509710 20.69745 16.726201
## 8584        0 13.658756 20.55649 16.758842
## 8586        0 13.806695 20.41322 16.791547
## 8588        0 13.953304 20.27007 16.824316
## 8590        0 14.098045 20.13669 16.857148
## 8592        0 14.248390 20.03043 16.890045
## 8594        0 14.391244 19.92344 16.923006
## 8596        0 14.534965 19.81665 16.956031
## 8598        0 14.674231 19.71432 16.989120
## 8600        0 14.801743 19.59719 17.022275
## 8602        0 14.939533 19.48632 17.055494
## 8604        0 15.068288 19.38951 17.088777
## 8606        0 15.188868 19.29975 17.122126
## 8608        0 15.301153 19.23375 17.155540
## 8610        0 15.415208 19.14678 17.189019
## 8612        0 15.510783 19.11594 17.222563
## 8614        0 15.594977 19.07619 17.256173
## 8616        0 15.666168 19.07005 17.289848
## 8618        0 15.727019 19.06893 17.323589
## 8620        0 15.774818 19.08666 17.357396
## 8622        0 15.800921 19.13637 17.391269
## 8624        0 15.808482 19.19543 17.425208
## 8626        0 15.813018 19.26397 17.459213
## 8628        0 15.784327 19.36724 17.493285
## 8630        0 15.759337 19.48890 17.527423
## 8632        0 15.722763 19.60425 17.561628
## 8634        0 15.665611 19.75859 17.595899
## 8636        0 15.599953 19.91694 17.630238
## 8638        0 15.517456 20.08118 17.664643
## 8640        0 15.446045 20.23426 17.699115
## 8642        0 15.356553 20.41402 17.733655
## 8644        0 15.273920 20.61788 17.768262
## 8646        0 15.179424 20.80965 17.802937
## 8648        0 15.076522 21.02060 17.837679
## 8650        0 14.979612 21.25003 17.872490
## 8652        0 14.871893 21.47613 17.907368
## 8654        0 14.770738 21.72285 17.942314
## 8656        0 14.670429 21.93441 17.977328
## 8658        0 14.559271 22.17627 18.012411
## 8660        0 14.456782 22.41026 18.047562
## 8662        0 14.354868 22.69217 18.082782
## 8664        0 14.262584 22.94351 18.118070
## 8666        0 14.167677 23.19956 18.153428
## 8668        0 14.075860 23.46347 18.188854
## 8670        0 13.981751 23.71705 18.224349
## 8672        0 15.786755 19.11063 17.375143
## 8674        0 12.747529 21.42297 16.563946
## 8676        0 12.898402 21.27276 16.596271
## 8678        0 13.044637 21.12472 16.628659
## 8680        0 13.204147 20.96679 16.661109
## 8682        0 13.360318 20.82495 16.693623
## 8684        0 13.509710 20.69745 16.726201
## 8686        0 13.658756 20.55649 16.758842
## 8688        0 13.806695 20.41322 16.791547
## 8690        0 13.953304 20.27007 16.824316
## 8692        0 14.098045 20.13669 16.857148
## 8694        0 14.248390 20.03043 16.890045
## 8696        0 14.391244 19.92344 16.923006
## 8698        0 14.534965 19.81665 16.956031
## 8700        0 14.674231 19.71432 16.989120
## 8702        0 14.801743 19.59719 17.022275
## 8704        0 14.939533 19.48632 17.055494
## 8706        0 15.068288 19.38951 17.088777
## 8708        0 15.188868 19.29975 17.122126
## 8710        0 15.301153 19.23375 17.155540
## 8712        0 15.415208 19.14678 17.189019
## 8714        0 15.510783 19.11594 17.222563
## 8716        0 15.594977 19.07619 17.256173
## 8718        0 15.666168 19.07005 17.289848
## 8720        0 15.727019 19.06893 17.323589
## 8722        0 15.774818 19.08666 17.357396
## 8724        0 15.800921 19.13637 17.391269
## 8726        0 15.808482 19.19543 17.425208
## 8728        0 15.813018 19.26397 17.459213
## 8730        0 15.784327 19.36724 17.493285
## 8732        0 15.759337 19.48890 17.527423
## 8734        0 15.722763 19.60425 17.561628
## 8736        0 15.665611 19.75859 17.595899
## 8738        0 15.599953 19.91694 17.630238
## 8740        0 15.517456 20.08118 17.664643
## 8742        0 15.446045 20.23426 17.699115
## 8744        0 15.356553 20.41402 17.733655
## 8746        0 15.273920 20.61788 17.768262
## 8748        0 15.179424 20.80965 17.802937
## 8750        0 15.076522 21.02060 17.837679
## 8752        0 14.979612 21.25003 17.872490
## 8754        0 14.871893 21.47613 17.907368
## 8756        0 14.770738 21.72285 17.942314
## 8758        0 14.670429 21.93441 17.977328
## 8760        0 14.559271 22.17627 18.012411
## 8762        0 14.456782 22.41026 18.047562
## 8764        0 14.354868 22.69217 18.082782
## 8766        0 14.262584 22.94351 18.118070
## 8768        0 14.167677 23.19956 18.153428
## 8770        0 14.075860 23.46347 18.188854
## 8772        0 13.981751 23.71705 18.224349
## 8774        0 15.786755 19.11063 17.375143
## 8776        0 12.747529 21.42297 16.563946
## 8778        0 12.898402 21.27276 16.596271
## 8780        0 13.044637 21.12472 16.628659
## 8782        0 13.204147 20.96679 16.661109
## 8784        0 13.360318 20.82495 16.693623
## 8786        0 13.509710 20.69745 16.726201
## 8788        0 13.658756 20.55649 16.758842
## 8790        0 13.806695 20.41322 16.791547
## 8792        0 13.953304 20.27007 16.824316
## 8794        0 14.098045 20.13669 16.857148
## 8796        0 14.248390 20.03043 16.890045
## 8798        0 14.391244 19.92344 16.923006
## 8800        0 14.534965 19.81665 16.956031
## 8802        0 14.674231 19.71432 16.989120
## 8804        0 14.801743 19.59719 17.022275
## 8806        0 14.939533 19.48632 17.055494
## 8808        0 15.068288 19.38951 17.088777
## 8810        0 15.188868 19.29975 17.122126
## 8812        0 15.301153 19.23375 17.155540
## 8814        0 15.415208 19.14678 17.189019
## 8816        0 15.510783 19.11594 17.222563
## 8818        0 15.594977 19.07619 17.256173
## 8820        0 15.666168 19.07005 17.289848
## 8822        0 15.727019 19.06893 17.323589
## 8824        0 15.774818 19.08666 17.357396
## 8826        0 15.800921 19.13637 17.391269
## 8828        0 15.808482 19.19543 17.425208
## 8830        0 15.813018 19.26397 17.459213
## 8832        0 15.784327 19.36724 17.493285
## 8834        0 15.759337 19.48890 17.527423
## 8836        0 15.722763 19.60425 17.561628
## 8838        0 15.665611 19.75859 17.595899
## 8840        0 15.599953 19.91694 17.630238
## 8842        0 15.517456 20.08118 17.664643
## 8844        0 15.446045 20.23426 17.699115
## 8846        0 15.356553 20.41402 17.733655
## 8848        0 15.273920 20.61788 17.768262
## 8850        0 15.179424 20.80965 17.802937
## 8852        0 15.076522 21.02060 17.837679
## 8854        0 14.979612 21.25003 17.872490
## 8856        0 14.871893 21.47613 17.907368
## 8858        0 14.770738 21.72285 17.942314
## 8860        0 14.670429 21.93441 17.977328
## 8862        0 14.559271 22.17627 18.012411
## 8864        0 14.456782 22.41026 18.047562
## 8866        0 14.354868 22.69217 18.082782
## 8868        0 14.262584 22.94351 18.118070
## 8870        0 14.167677 23.19956 18.153428
## 8872        0 14.075860 23.46347 18.188854
## 8874        0 13.981751 23.71705 18.224349
## 8876        0 15.786755 19.11063 17.375143
## 8878        0 12.747529 21.42297 16.563946
## 8880        0 12.898402 21.27276 16.596271
## 8882        0 13.044637 21.12472 16.628659
## 8884        0 13.204147 20.96679 16.661109
## 8886        0 13.360318 20.82495 16.693623
## 8888        0 13.509710 20.69745 16.726201
## 8890        0 13.658756 20.55649 16.758842
## 8892        0 13.806695 20.41322 16.791547
## 8894        0 13.953304 20.27007 16.824316
## 8896        0 14.098045 20.13669 16.857148
## 8898        0 14.248390 20.03043 16.890045
## 8900        0 14.391244 19.92344 16.923006
## 8902        0 14.534965 19.81665 16.956031
## 8904        0 14.674231 19.71432 16.989120
## 8906        0 14.801743 19.59719 17.022275
## 8908        0 14.939533 19.48632 17.055494
## 8910        0 15.068288 19.38951 17.088777
## 8912        0 15.188868 19.29975 17.122126
## 8914        0 15.301153 19.23375 17.155540
## 8916        0 15.415208 19.14678 17.189019
## 8918        0 15.510783 19.11594 17.222563
## 8920        0 15.594977 19.07619 17.256173
## 8922        0 15.666168 19.07005 17.289848
## 8924        0 15.727019 19.06893 17.323589
## 8926        0 15.774818 19.08666 17.357396
## 8928        0 15.800921 19.13637 17.391269
## 8930        0 15.808482 19.19543 17.425208
## 8932        0 15.813018 19.26397 17.459213
## 8934        0 15.784327 19.36724 17.493285
## 8936        0 15.759337 19.48890 17.527423
## 8938        0 15.722763 19.60425 17.561628
## 8940        0 15.665611 19.75859 17.595899
## 8942        0 15.599953 19.91694 17.630238
## 8944        0 15.517456 20.08118 17.664643
## 8946        0 15.446045 20.23426 17.699115
## 8948        0 15.356553 20.41402 17.733655
## 8950        0 15.273920 20.61788 17.768262
## 8952        0 15.179424 20.80965 17.802937
## 8954        0 15.076522 21.02060 17.837679
## 8956        0 14.979612 21.25003 17.872490
## 8958        0 14.871893 21.47613 17.907368
## 8960        0 14.770738 21.72285 17.942314
## 8962        0 14.670429 21.93441 17.977328
## 8964        0 14.559271 22.17627 18.012411
## 8966        0 14.456782 22.41026 18.047562
## 8968        0 14.354868 22.69217 18.082782
## 8970        0 14.262584 22.94351 18.118070
## 8972        0 14.167677 23.19956 18.153428
## 8974        0 14.075860 23.46347 18.188854
## 8976        0 13.981751 23.71705 18.224349
## 8978        0 15.786755 19.11063 17.375143
## 8980        0 12.747529 21.42297 16.563946
## 8982        0 12.898402 21.27276 16.596271
## 8984        0 13.044637 21.12472 16.628659
## 8986        0 13.204147 20.96679 16.661109
## 8988        0 13.360318 20.82495 16.693623
## 8990        0 13.509710 20.69745 16.726201
## 8992        0 13.658756 20.55649 16.758842
## 8994        0 13.806695 20.41322 16.791547
## 8996        0 13.953304 20.27007 16.824316
## 8998        0 14.098045 20.13669 16.857148
## 9000        0 14.248390 20.03043 16.890045
## 9002        0 14.391244 19.92344 16.923006
## 9004        0 14.534965 19.81665 16.956031
## 9006        0 14.674231 19.71432 16.989120
## 9008        0 14.801743 19.59719 17.022275
## 9010        0 14.939533 19.48632 17.055494
## 9012        0 15.068288 19.38951 17.088777
## 9014        0 15.188868 19.29975 17.122126
## 9016        0 15.301153 19.23375 17.155540
## 9018        0 15.415208 19.14678 17.189019
## 9020        0 15.510783 19.11594 17.222563
## 9022        0 15.594977 19.07619 17.256173
## 9024        0 15.666168 19.07005 17.289848
## 9026        0 15.727019 19.06893 17.323589
## 9028        0 15.774818 19.08666 17.357396
## 9030        0 15.800921 19.13637 17.391269
## 9032        0 15.808482 19.19543 17.425208
## 9034        0 15.813018 19.26397 17.459213
## 9036        0 15.784327 19.36724 17.493285
## 9038        0 15.759337 19.48890 17.527423
## 9040        0 15.722763 19.60425 17.561628
## 9042        0 15.665611 19.75859 17.595899
## 9044        0 15.599953 19.91694 17.630238
## 9046        0 15.517456 20.08118 17.664643
## 9048        0 15.446045 20.23426 17.699115
## 9050        0 15.356553 20.41402 17.733655
## 9052        0 15.273920 20.61788 17.768262
## 9054        0 15.179424 20.80965 17.802937
## 9056        0 15.076522 21.02060 17.837679
## 9058        0 14.979612 21.25003 17.872490
## 9060        0 14.871893 21.47613 17.907368
## 9062        0 14.770738 21.72285 17.942314
## 9064        0 14.670429 21.93441 17.977328
## 9066        0 14.559271 22.17627 18.012411
## 9068        0 14.456782 22.41026 18.047562
## 9070        0 14.354868 22.69217 18.082782
## 9072        0 14.262584 22.94351 18.118070
## 9074        0 14.167677 23.19956 18.153428
## 9076        0 14.075860 23.46347 18.188854
## 9078        0 13.981751 23.71705 18.224349
## 9080        0 15.786755 19.11063 17.375143
## 9082        0 12.747529 21.42297 16.563946
## 9084        0 12.898402 21.27276 16.596271
## 9086        0 13.044637 21.12472 16.628659
## 9088        0 13.204147 20.96679 16.661109
## 9090        0 13.360318 20.82495 16.693623
## 9092        0 13.509710 20.69745 16.726201
## 9094        0 13.658756 20.55649 16.758842
## 9096        0 13.806695 20.41322 16.791547
## 9098        0 13.953304 20.27007 16.824316
## 9100        0 14.098045 20.13669 16.857148
## 9102        0 14.248390 20.03043 16.890045
## 9104        0 14.391244 19.92344 16.923006
## 9106        0 14.534965 19.81665 16.956031
## 9108        0 14.674231 19.71432 16.989120
## 9110        0 14.801743 19.59719 17.022275
## 9112        0 14.939533 19.48632 17.055494
## 9114        0 15.068288 19.38951 17.088777
## 9116        0 15.188868 19.29975 17.122126
## 9118        0 15.301153 19.23375 17.155540
## 9120        0 15.415208 19.14678 17.189019
## 9122        0 15.510783 19.11594 17.222563
## 9124        0 15.594977 19.07619 17.256173
## 9126        0 15.666168 19.07005 17.289848
## 9128        0 15.727019 19.06893 17.323589
## 9130        0 15.774818 19.08666 17.357396
## 9132        0 15.800921 19.13637 17.391269
## 9134        0 15.808482 19.19543 17.425208
## 9136        0 15.813018 19.26397 17.459213
## 9138        0 15.784327 19.36724 17.493285
## 9140        0 15.759337 19.48890 17.527423
## 9142        0 15.722763 19.60425 17.561628
## 9144        0 15.665611 19.75859 17.595899
## 9146        0 15.599953 19.91694 17.630238
## 9148        0 15.517456 20.08118 17.664643
## 9150        0 15.446045 20.23426 17.699115
## 9152        0 15.356553 20.41402 17.733655
## 9154        0 15.273920 20.61788 17.768262
## 9156        0 15.179424 20.80965 17.802937
## 9158        0 15.076522 21.02060 17.837679
## 9160        0 14.979612 21.25003 17.872490
## 9162        0 14.871893 21.47613 17.907368
## 9164        0 14.770738 21.72285 17.942314
## 9166        0 14.670429 21.93441 17.977328
## 9168        0 14.559271 22.17627 18.012411
## 9170        0 14.456782 22.41026 18.047562
## 9172        0 14.354868 22.69217 18.082782
## 9174        0 14.262584 22.94351 18.118070
## 9176        0 14.167677 23.19956 18.153428
## 9178        0 14.075860 23.46347 18.188854
## 9180        0 13.981751 23.71705 18.224349
## 9182        0 15.786755 19.11063 17.375143
## 9184        0 12.747529 21.42297 16.563946
## 9186        0 12.898402 21.27276 16.596271
## 9188        0 13.044637 21.12472 16.628659
## 9190        0 13.204147 20.96679 16.661109
## 9192        0 13.360318 20.82495 16.693623
## 9194        0 13.509710 20.69745 16.726201
## 9196        0 13.658756 20.55649 16.758842
## 9198        0 13.806695 20.41322 16.791547
## 9200        0 13.953304 20.27007 16.824316
## 9202        0 14.098045 20.13669 16.857148
## 9204        0 14.248390 20.03043 16.890045
## 9206        0 14.391244 19.92344 16.923006
## 9208        0 14.534965 19.81665 16.956031
## 9210        0 14.674231 19.71432 16.989120
## 9212        0 14.801743 19.59719 17.022275
## 9214        0 14.939533 19.48632 17.055494
## 9216        0 15.068288 19.38951 17.088777
## 9218        0 15.188868 19.29975 17.122126
## 9220        0 15.301153 19.23375 17.155540
## 9222        0 15.415208 19.14678 17.189019
## 9224        0 15.510783 19.11594 17.222563
## 9226        0 15.594977 19.07619 17.256173
## 9228        0 15.666168 19.07005 17.289848
## 9230        0 15.727019 19.06893 17.323589
## 9232        0 15.774818 19.08666 17.357396
## 9234        0 15.800921 19.13637 17.391269
## 9236        0 15.808482 19.19543 17.425208
## 9238        0 15.813018 19.26397 17.459213
## 9240        0 15.784327 19.36724 17.493285
## 9242        0 15.759337 19.48890 17.527423
## 9244        0 15.722763 19.60425 17.561628
## 9246        0 15.665611 19.75859 17.595899
## 9248        0 15.599953 19.91694 17.630238
## 9250        0 15.517456 20.08118 17.664643
## 9252        0 15.446045 20.23426 17.699115
## 9254        0 15.356553 20.41402 17.733655
## 9256        0 15.273920 20.61788 17.768262
## 9258        0 15.179424 20.80965 17.802937
## 9260        0 15.076522 21.02060 17.837679
## 9262        0 14.979612 21.25003 17.872490
## 9264        0 14.871893 21.47613 17.907368
## 9266        0 14.770738 21.72285 17.942314
## 9268        0 14.670429 21.93441 17.977328
## 9270        0 14.559271 22.17627 18.012411
## 9272        0 14.456782 22.41026 18.047562
## 9274        0 14.354868 22.69217 18.082782
## 9276        0 14.262584 22.94351 18.118070
## 9278        0 14.167677 23.19956 18.153428
## 9280        0 14.075860 23.46347 18.188854
## 9282        0 13.981751 23.71705 18.224349
## 9284        0 15.786755 19.11063 17.375143
## 9286        0 12.747529 21.42297 16.563946
## 9288        0 12.898402 21.27276 16.596271
## 9290        0 13.044637 21.12472 16.628659
## 9292        0 13.204147 20.96679 16.661109
## 9294        0 13.360318 20.82495 16.693623
## 9296        0 13.509710 20.69745 16.726201
## 9298        0 13.658756 20.55649 16.758842
## 9300        0 13.806695 20.41322 16.791547
## 9302        0 13.953304 20.27007 16.824316
## 9304        0 14.098045 20.13669 16.857148
## 9306        0 14.248390 20.03043 16.890045
## 9308        0 14.391244 19.92344 16.923006
## 9310        0 14.534965 19.81665 16.956031
## 9312        0 14.674231 19.71432 16.989120
## 9314        0 14.801743 19.59719 17.022275
## 9316        0 14.939533 19.48632 17.055494
## 9318        0 15.068288 19.38951 17.088777
## 9320        0 15.188868 19.29975 17.122126
## 9322        0 15.301153 19.23375 17.155540
## 9324        0 15.415208 19.14678 17.189019
## 9326        0 15.510783 19.11594 17.222563
## 9328        0 15.594977 19.07619 17.256173
## 9330        0 15.666168 19.07005 17.289848
## 9332        0 15.727019 19.06893 17.323589
## 9334        0 15.774818 19.08666 17.357396
## 9336        0 15.800921 19.13637 17.391269
## 9338        0 15.808482 19.19543 17.425208
## 9340        0 15.813018 19.26397 17.459213
## 9342        0 15.784327 19.36724 17.493285
## 9344        0 15.759337 19.48890 17.527423
## 9346        0 15.722763 19.60425 17.561628
## 9348        0 15.665611 19.75859 17.595899
## 9350        0 15.599953 19.91694 17.630238
## 9352        0 15.517456 20.08118 17.664643
## 9354        0 15.446045 20.23426 17.699115
## 9356        0 15.356553 20.41402 17.733655
## 9358        0 15.273920 20.61788 17.768262
## 9360        0 15.179424 20.80965 17.802937
## 9362        0 15.076522 21.02060 17.837679
## 9364        0 14.979612 21.25003 17.872490
## 9366        0 14.871893 21.47613 17.907368
## 9368        0 14.770738 21.72285 17.942314
## 9370        0 14.670429 21.93441 17.977328
## 9372        0 14.559271 22.17627 18.012411
## 9374        0 14.456782 22.41026 18.047562
## 9376        0 14.354868 22.69217 18.082782
## 9378        0 14.262584 22.94351 18.118070
## 9380        0 14.167677 23.19956 18.153428
## 9382        0 14.075860 23.46347 18.188854
## 9384        0 13.981751 23.71705 18.224349
## 9386        0 15.786755 19.11063 17.375143
## 9388        0 12.747529 21.42297 16.563946
## 9390        0 12.898402 21.27276 16.596271
## 9392        0 13.044637 21.12472 16.628659
## 9394        0 13.204147 20.96679 16.661109
## 9396        0 13.360318 20.82495 16.693623
## 9398        0 13.509710 20.69745 16.726201
## 9400        0 13.658756 20.55649 16.758842
## 9402        0 13.806695 20.41322 16.791547
## 9404        0 13.953304 20.27007 16.824316
## 9406        0 14.098045 20.13669 16.857148
## 9408        0 14.248390 20.03043 16.890045
## 9410        0 14.391244 19.92344 16.923006
## 9412        0 14.534965 19.81665 16.956031
## 9414        0 14.674231 19.71432 16.989120
## 9416        0 14.801743 19.59719 17.022275
## 9418        0 14.939533 19.48632 17.055494
## 9420        0 15.068288 19.38951 17.088777
## 9422        0 15.188868 19.29975 17.122126
## 9424        0 15.301153 19.23375 17.155540
## 9426        0 15.415208 19.14678 17.189019
## 9428        0 15.510783 19.11594 17.222563
## 9430        0 15.594977 19.07619 17.256173
## 9432        0 15.666168 19.07005 17.289848
## 9434        0 15.727019 19.06893 17.323589
## 9436        0 15.774818 19.08666 17.357396
## 9438        0 15.800921 19.13637 17.391269
## 9440        0 15.808482 19.19543 17.425208
## 9442        0 15.813018 19.26397 17.459213
## 9444        0 15.784327 19.36724 17.493285
## 9446        0 15.759337 19.48890 17.527423
## 9448        0 15.722763 19.60425 17.561628
## 9450        0 15.665611 19.75859 17.595899
## 9452        0 15.599953 19.91694 17.630238
## 9454        0 15.517456 20.08118 17.664643
## 9456        0 15.446045 20.23426 17.699115
## 9458        0 15.356553 20.41402 17.733655
## 9460        0 15.273920 20.61788 17.768262
## 9462        0 15.179424 20.80965 17.802937
## 9464        0 15.076522 21.02060 17.837679
## 9466        0 14.979612 21.25003 17.872490
## 9468        0 14.871893 21.47613 17.907368
## 9470        0 14.770738 21.72285 17.942314
## 9472        0 14.670429 21.93441 17.977328
## 9474        0 14.559271 22.17627 18.012411
## 9476        0 14.456782 22.41026 18.047562
## 9478        0 14.354868 22.69217 18.082782
## 9480        0 14.262584 22.94351 18.118070
## 9482        0 14.167677 23.19956 18.153428
## 9484        0 14.075860 23.46347 18.188854
## 9486        0 13.981751 23.71705 18.224349
## 9488        0 15.786755 19.11063 17.375143
## 9490        0 12.747529 21.42297 16.563946
## 9492        0 12.898402 21.27276 16.596271
## 9494        0 13.044637 21.12472 16.628659
## 9496        0 13.204147 20.96679 16.661109
## 9498        0 13.360318 20.82495 16.693623
## 9500        0 13.509710 20.69745 16.726201
## 9502        0 13.658756 20.55649 16.758842
## 9504        0 13.806695 20.41322 16.791547
## 9506        0 13.953304 20.27007 16.824316
## 9508        0 14.098045 20.13669 16.857148
## 9510        0 14.248390 20.03043 16.890045
## 9512        0 14.391244 19.92344 16.923006
## 9514        0 14.534965 19.81665 16.956031
## 9516        0 14.674231 19.71432 16.989120
## 9518        0 14.801743 19.59719 17.022275
## 9520        0 14.939533 19.48632 17.055494
## 9522        0 15.068288 19.38951 17.088777
## 9524        0 15.188868 19.29975 17.122126
## 9526        0 15.301153 19.23375 17.155540
## 9528        0 15.415208 19.14678 17.189019
## 9530        0 15.510783 19.11594 17.222563
## 9532        0 15.594977 19.07619 17.256173
## 9534        0 15.666168 19.07005 17.289848
## 9536        0 15.727019 19.06893 17.323589
## 9538        0 15.774818 19.08666 17.357396
## 9540        0 15.800921 19.13637 17.391269
## 9542        0 15.808482 19.19543 17.425208
## 9544        0 15.813018 19.26397 17.459213
## 9546        0 15.784327 19.36724 17.493285
## 9548        0 15.759337 19.48890 17.527423
## 9550        0 15.722763 19.60425 17.561628
## 9552        0 15.665611 19.75859 17.595899
## 9554        0 15.599953 19.91694 17.630238
## 9556        0 15.517456 20.08118 17.664643
## 9558        0 15.446045 20.23426 17.699115
## 9560        0 15.356553 20.41402 17.733655
## 9562        0 15.273920 20.61788 17.768262
## 9564        0 15.179424 20.80965 17.802937
## 9566        0 15.076522 21.02060 17.837679
## 9568        0 14.979612 21.25003 17.872490
## 9570        0 14.871893 21.47613 17.907368
## 9572        0 14.770738 21.72285 17.942314
## 9574        0 14.670429 21.93441 17.977328
## 9576        0 14.559271 22.17627 18.012411
## 9578        0 14.456782 22.41026 18.047562
## 9580        0 14.354868 22.69217 18.082782
## 9582        0 14.262584 22.94351 18.118070
## 9584        0 14.167677 23.19956 18.153428
## 9586        0 14.075860 23.46347 18.188854
## 9588        0 13.981751 23.71705 18.224349
## 9590        0 15.786755 19.11063 17.375143
## 9592        0 12.747529 21.42297 16.563946
## 9594        0 12.898402 21.27276 16.596271
## 9596        0 13.044637 21.12472 16.628659
## 9598        0 13.204147 20.96679 16.661109
## 9600        0 13.360318 20.82495 16.693623
## 9602        0 13.509710 20.69745 16.726201
## 9604        0 13.658756 20.55649 16.758842
## 9606        0 13.806695 20.41322 16.791547
## 9608        0 13.953304 20.27007 16.824316
## 9610        0 14.098045 20.13669 16.857148
## 9612        0 14.248390 20.03043 16.890045
## 9614        0 14.391244 19.92344 16.923006
## 9616        0 14.534965 19.81665 16.956031
## 9618        0 14.674231 19.71432 16.989120
## 9620        0 14.801743 19.59719 17.022275
## 9622        0 14.939533 19.48632 17.055494
## 9624        0 15.068288 19.38951 17.088777
## 9626        0 15.188868 19.29975 17.122126
## 9628        0 15.301153 19.23375 17.155540
## 9630        0 15.415208 19.14678 17.189019
## 9632        0 15.510783 19.11594 17.222563
## 9634        0 15.594977 19.07619 17.256173
## 9636        0 15.666168 19.07005 17.289848
## 9638        0 15.727019 19.06893 17.323589
## 9640        0 15.774818 19.08666 17.357396
## 9642        0 15.800921 19.13637 17.391269
## 9644        0 15.808482 19.19543 17.425208
## 9646        0 15.813018 19.26397 17.459213
## 9648        0 15.784327 19.36724 17.493285
## 9650        0 15.759337 19.48890 17.527423
## 9652        0 15.722763 19.60425 17.561628
## 9654        0 15.665611 19.75859 17.595899
## 9656        0 15.599953 19.91694 17.630238
## 9658        0 15.517456 20.08118 17.664643
## 9660        0 15.446045 20.23426 17.699115
## 9662        0 15.356553 20.41402 17.733655
## 9664        0 15.273920 20.61788 17.768262
## 9666        0 15.179424 20.80965 17.802937
## 9668        0 15.076522 21.02060 17.837679
## 9670        0 14.979612 21.25003 17.872490
## 9672        0 14.871893 21.47613 17.907368
## 9674        0 14.770738 21.72285 17.942314
## 9676        0 14.670429 21.93441 17.977328
## 9678        0 14.559271 22.17627 18.012411
## 9680        0 14.456782 22.41026 18.047562
## 9682        0 14.354868 22.69217 18.082782
## 9684        0 14.262584 22.94351 18.118070
## 9686        0 14.167677 23.19956 18.153428
## 9688        0 14.075860 23.46347 18.188854
## 9690        0 13.981751 23.71705 18.224349
## 9692        0 15.786755 19.11063 17.375143
## 9694        0 12.747529 21.42297 16.563946
## 9696        0 12.898402 21.27276 16.596271
## 9698        0 13.044637 21.12472 16.628659
## 9700        0 13.204147 20.96679 16.661109
## 9702        0 13.360318 20.82495 16.693623
## 9704        0 13.509710 20.69745 16.726201
## 9706        0 13.658756 20.55649 16.758842
## 9708        0 13.806695 20.41322 16.791547
## 9710        0 13.953304 20.27007 16.824316
## 9712        0 14.098045 20.13669 16.857148
## 9714        0 14.248390 20.03043 16.890045
## 9716        0 14.391244 19.92344 16.923006
## 9718        0 14.534965 19.81665 16.956031
## 9720        0 14.674231 19.71432 16.989120
## 9722        0 14.801743 19.59719 17.022275
## 9724        0 14.939533 19.48632 17.055494
## 9726        0 15.068288 19.38951 17.088777
## 9728        0 15.188868 19.29975 17.122126
## 9730        0 15.301153 19.23375 17.155540
## 9732        0 15.415208 19.14678 17.189019
## 9734        0 15.510783 19.11594 17.222563
## 9736        0 15.594977 19.07619 17.256173
## 9738        0 15.666168 19.07005 17.289848
## 9740        0 15.727019 19.06893 17.323589
## 9742        0 15.774818 19.08666 17.357396
## 9744        0 15.800921 19.13637 17.391269
## 9746        0 15.808482 19.19543 17.425208
## 9748        0 15.813018 19.26397 17.459213
## 9750        0 15.784327 19.36724 17.493285
## 9752        0 15.759337 19.48890 17.527423
## 9754        0 15.722763 19.60425 17.561628
## 9756        0 15.665611 19.75859 17.595899
## 9758        0 15.599953 19.91694 17.630238
## 9760        0 15.517456 20.08118 17.664643
## 9762        0 15.446045 20.23426 17.699115
## 9764        0 15.356553 20.41402 17.733655
## 9766        0 15.273920 20.61788 17.768262
## 9768        0 15.179424 20.80965 17.802937
## 9770        0 15.076522 21.02060 17.837679
## 9772        0 14.979612 21.25003 17.872490
## 9774        0 14.871893 21.47613 17.907368
## 9776        0 14.770738 21.72285 17.942314
## 9778        0 14.670429 21.93441 17.977328
## 9780        0 14.559271 22.17627 18.012411
## 9782        0 14.456782 22.41026 18.047562
## 9784        0 14.354868 22.69217 18.082782
## 9786        0 14.262584 22.94351 18.118070
## 9788        0 14.167677 23.19956 18.153428
## 9790        0 14.075860 23.46347 18.188854
## 9792        0 13.981751 23.71705 18.224349
## 9794        0 15.786755 19.11063 17.375143
## 9796        0 12.747529 21.42297 16.563946
## 9798        0 12.898402 21.27276 16.596271
## 9800        0 13.044637 21.12472 16.628659
## 9802        0 13.204147 20.96679 16.661109
## 9804        0 13.360318 20.82495 16.693623
## 9806        0 13.509710 20.69745 16.726201
## 9808        0 13.658756 20.55649 16.758842
## 9810        0 13.806695 20.41322 16.791547
## 9812        0 13.953304 20.27007 16.824316
## 9814        0 14.098045 20.13669 16.857148
## 9816        0 14.248390 20.03043 16.890045
## 9818        0 14.391244 19.92344 16.923006
## 9820        0 14.534965 19.81665 16.956031
## 9822        0 14.674231 19.71432 16.989120
## 9824        0 14.801743 19.59719 17.022275
## 9826        0 14.939533 19.48632 17.055494
## 9828        0 15.068288 19.38951 17.088777
## 9830        0 15.188868 19.29975 17.122126
## 9832        0 15.301153 19.23375 17.155540
## 9834        0 15.415208 19.14678 17.189019
## 9836        0 15.510783 19.11594 17.222563
## 9838        0 15.594977 19.07619 17.256173
## 9840        0 15.666168 19.07005 17.289848
## 9842        0 15.727019 19.06893 17.323589
## 9844        0 15.774818 19.08666 17.357396
## 9846        0 15.800921 19.13637 17.391269
## 9848        0 15.808482 19.19543 17.425208
## 9850        0 15.813018 19.26397 17.459213
## 9852        0 15.784327 19.36724 17.493285
## 9854        0 15.759337 19.48890 17.527423
## 9856        0 15.722763 19.60425 17.561628
## 9858        0 15.665611 19.75859 17.595899
## 9860        0 15.599953 19.91694 17.630238
## 9862        0 15.517456 20.08118 17.664643
## 9864        0 15.446045 20.23426 17.699115
## 9866        0 15.356553 20.41402 17.733655
## 9868        0 15.273920 20.61788 17.768262
## 9870        0 15.179424 20.80965 17.802937
## 9872        0 15.076522 21.02060 17.837679
## 9874        0 14.979612 21.25003 17.872490
## 9876        0 14.871893 21.47613 17.907368
## 9878        0 14.770738 21.72285 17.942314
## 9880        0 14.670429 21.93441 17.977328
## 9882        0 14.559271 22.17627 18.012411
## 9884        0 14.456782 22.41026 18.047562
## 9886        0 14.354868 22.69217 18.082782
## 9888        0 14.262584 22.94351 18.118070
## 9890        0 14.167677 23.19956 18.153428
## 9892        0 14.075860 23.46347 18.188854
## 9894        0 13.981751 23.71705 18.224349
## 9896        0 15.786755 19.11063 17.375143
## 9898        0 12.747529 21.42297 16.563946
## 9900        0 12.898402 21.27276 16.596271
## 9902        0 13.044637 21.12472 16.628659
## 9904        0 13.204147 20.96679 16.661109
## 9906        0 13.360318 20.82495 16.693623
## 9908        0 13.509710 20.69745 16.726201
## 9910        0 13.658756 20.55649 16.758842
## 9912        0 13.806695 20.41322 16.791547
## 9914        0 13.953304 20.27007 16.824316
## 9916        0 14.098045 20.13669 16.857148
## 9918        0 14.248390 20.03043 16.890045
## 9920        0 14.391244 19.92344 16.923006
## 9922        0 14.534965 19.81665 16.956031
## 9924        0 14.674231 19.71432 16.989120
## 9926        0 14.801743 19.59719 17.022275
## 9928        0 14.939533 19.48632 17.055494
## 9930        0 15.068288 19.38951 17.088777
## 9932        0 15.188868 19.29975 17.122126
## 9934        0 15.301153 19.23375 17.155540
## 9936        0 15.415208 19.14678 17.189019
## 9938        0 15.510783 19.11594 17.222563
## 9940        0 15.594977 19.07619 17.256173
## 9942        0 15.666168 19.07005 17.289848
## 9944        0 15.727019 19.06893 17.323589
## 9946        0 15.774818 19.08666 17.357396
## 9948        0 15.800921 19.13637 17.391269
## 9950        0 15.808482 19.19543 17.425208
## 9952        0 15.813018 19.26397 17.459213
## 9954        0 15.784327 19.36724 17.493285
## 9956        0 15.759337 19.48890 17.527423
## 9958        0 15.722763 19.60425 17.561628
## 9960        0 15.665611 19.75859 17.595899
## 9962        0 15.599953 19.91694 17.630238
## 9964        0 15.517456 20.08118 17.664643
## 9966        0 15.446045 20.23426 17.699115
## 9968        0 15.356553 20.41402 17.733655
## 9970        0 15.273920 20.61788 17.768262
## 9972        0 15.179424 20.80965 17.802937
## 9974        0 15.076522 21.02060 17.837679
## 9976        0 14.979612 21.25003 17.872490
## 9978        0 14.871893 21.47613 17.907368
## 9980        0 14.770738 21.72285 17.942314
## 9982        0 14.670429 21.93441 17.977328
## 9984        0 14.559271 22.17627 18.012411
## 9986        0 14.456782 22.41026 18.047562
## 9988        0 14.354868 22.69217 18.082782
## 9990        0 14.262584 22.94351 18.118070
## 9992        0 14.167677 23.19956 18.153428
## 9994        0 14.075860 23.46347 18.188854
## 9996        0 13.981751 23.71705 18.224349
## 9998        0 15.786755 19.11063 17.375143
## 10000       0 12.747529 21.42297 16.563946
## 10002       0 12.898402 21.27276 16.596271
## 10004       0 13.044637 21.12472 16.628659
## 10006       0 13.204147 20.96679 16.661109
## 10008       0 13.360318 20.82495 16.693623
## 10010       0 13.509710 20.69745 16.726201
## 10012       0 13.658756 20.55649 16.758842
## 10014       0 13.806695 20.41322 16.791547
## 10016       0 13.953304 20.27007 16.824316
## 10018       0 14.098045 20.13669 16.857148
## 10020       0 14.248390 20.03043 16.890045
## 10022       0 14.391244 19.92344 16.923006
## 10024       0 14.534965 19.81665 16.956031
## 10026       0 14.674231 19.71432 16.989120
## 10028       0 14.801743 19.59719 17.022275
## 10030       0 14.939533 19.48632 17.055494
## 10032       0 15.068288 19.38951 17.088777
## 10034       0 15.188868 19.29975 17.122126
## 10036       0 15.301153 19.23375 17.155540
## 10038       0 15.415208 19.14678 17.189019
## 10040       0 15.510783 19.11594 17.222563
## 10042       0 15.594977 19.07619 17.256173
## 10044       0 15.666168 19.07005 17.289848
## 10046       0 15.727019 19.06893 17.323589
## 10048       0 15.774818 19.08666 17.357396
## 10050       0 15.800921 19.13637 17.391269
## 10052       0 15.808482 19.19543 17.425208
## 10054       0 15.813018 19.26397 17.459213
## 10056       0 15.784327 19.36724 17.493285
## 10058       0 15.759337 19.48890 17.527423
## 10060       0 15.722763 19.60425 17.561628
## 10062       0 15.665611 19.75859 17.595899
## 10064       0 15.599953 19.91694 17.630238
## 10066       0 15.517456 20.08118 17.664643
## 10068       0 15.446045 20.23426 17.699115
## 10070       0 15.356553 20.41402 17.733655
## 10072       0 15.273920 20.61788 17.768262
## 10074       0 15.179424 20.80965 17.802937
## 10076       0 15.076522 21.02060 17.837679
## 10078       0 14.979612 21.25003 17.872490
## 10080       0 14.871893 21.47613 17.907368
## 10082       0 14.770738 21.72285 17.942314
## 10084       0 14.670429 21.93441 17.977328
## 10086       0 14.559271 22.17627 18.012411
## 10088       0 14.456782 22.41026 18.047562
## 10090       0 14.354868 22.69217 18.082782
## 10092       0 14.262584 22.94351 18.118070
## 10094       0 14.167677 23.19956 18.153428
## 10096       0 14.075860 23.46347 18.188854
## 10098       0 13.981751 23.71705 18.224349
## 10100       0 15.786755 19.11063 17.375143
## 10102       0 12.747529 21.42297 16.563946
## 10104       0 12.898402 21.27276 16.596271
## 10106       0 13.044637 21.12472 16.628659
## 10108       0 13.204147 20.96679 16.661109
## 10110       0 13.360318 20.82495 16.693623
## 10112       0 13.509710 20.69745 16.726201
## 10114       0 13.658756 20.55649 16.758842
## 10116       0 13.806695 20.41322 16.791547
## 10118       0 13.953304 20.27007 16.824316
## 10120       0 14.098045 20.13669 16.857148
## 10122       0 14.248390 20.03043 16.890045
## 10124       0 14.391244 19.92344 16.923006
## 10126       0 14.534965 19.81665 16.956031
## 10128       0 14.674231 19.71432 16.989120
## 10130       0 14.801743 19.59719 17.022275
## 10132       0 14.939533 19.48632 17.055494
## 10134       0 15.068288 19.38951 17.088777
## 10136       0 15.188868 19.29975 17.122126
## 10138       0 15.301153 19.23375 17.155540
## 10140       0 15.415208 19.14678 17.189019
## 10142       0 15.510783 19.11594 17.222563
## 10144       0 15.594977 19.07619 17.256173
## 10146       0 15.666168 19.07005 17.289848
## 10148       0 15.727019 19.06893 17.323589
## 10150       0 15.774818 19.08666 17.357396
## 10152       0 15.800921 19.13637 17.391269
## 10154       0 15.808482 19.19543 17.425208
## 10156       0 15.813018 19.26397 17.459213
## 10158       0 15.784327 19.36724 17.493285
## 10160       0 15.759337 19.48890 17.527423
## 10162       0 15.722763 19.60425 17.561628
## 10164       0 15.665611 19.75859 17.595899
## 10166       0 15.599953 19.91694 17.630238
## 10168       0 15.517456 20.08118 17.664643
## 10170       0 15.446045 20.23426 17.699115
## 10172       0 15.356553 20.41402 17.733655
## 10174       0 15.273920 20.61788 17.768262
## 10176       0 15.179424 20.80965 17.802937
## 10178       0 15.076522 21.02060 17.837679
## 10180       0 14.979612 21.25003 17.872490
## 10182       0 14.871893 21.47613 17.907368
## 10184       0 14.770738 21.72285 17.942314
## 10186       0 14.670429 21.93441 17.977328
## 10188       0 14.559271 22.17627 18.012411
## 10190       0 14.456782 22.41026 18.047562
## 10192       0 14.354868 22.69217 18.082782
## 10194       0 14.262584 22.94351 18.118070
## 10196       0 14.167677 23.19956 18.153428
## 10198       0 14.075860 23.46347 18.188854
## 10200       0 13.981751 23.71705 18.224349
## 10202       0 15.786755 19.11063 17.375143
## 10204       0 12.747529 21.42297 16.563946
## 10206       0 12.898402 21.27276 16.596271
## 10208       0 13.044637 21.12472 16.628659
## 10210       0 13.204147 20.96679 16.661109
## 10212       0 13.360318 20.82495 16.693623
## 10214       0 13.509710 20.69745 16.726201
## 10216       0 13.658756 20.55649 16.758842
## 10218       0 13.806695 20.41322 16.791547
## 10220       0 13.953304 20.27007 16.824316
## 10222       0 14.098045 20.13669 16.857148
## 10224       0 14.248390 20.03043 16.890045
## 10226       0 14.391244 19.92344 16.923006
## 10228       0 14.534965 19.81665 16.956031
## 10230       0 14.674231 19.71432 16.989120
## 10232       0 14.801743 19.59719 17.022275
## 10234       0 14.939533 19.48632 17.055494
## 10236       0 15.068288 19.38951 17.088777
## 10238       0 15.188868 19.29975 17.122126
## 10240       0 15.301153 19.23375 17.155540
## 10242       0 15.415208 19.14678 17.189019
## 10244       0 15.510783 19.11594 17.222563
## 10246       0 15.594977 19.07619 17.256173
## 10248       0 15.666168 19.07005 17.289848
## 10250       0 15.727019 19.06893 17.323589
## 10252       0 15.774818 19.08666 17.357396
## 10254       0 15.800921 19.13637 17.391269
## 10256       0 15.808482 19.19543 17.425208
## 10258       0 15.813018 19.26397 17.459213
## 10260       0 15.784327 19.36724 17.493285
## 10262       0 15.759337 19.48890 17.527423
## 10264       0 15.722763 19.60425 17.561628
## 10266       0 15.665611 19.75859 17.595899
## 10268       0 15.599953 19.91694 17.630238
## 10270       0 15.517456 20.08118 17.664643
## 10272       0 15.446045 20.23426 17.699115
## 10274       0 15.356553 20.41402 17.733655
## 10276       0 15.273920 20.61788 17.768262
## 10278       0 15.179424 20.80965 17.802937
## 10280       0 15.076522 21.02060 17.837679
## 10282       0 14.979612 21.25003 17.872490
## 10284       0 14.871893 21.47613 17.907368
## 10286       0 14.770738 21.72285 17.942314
## 10288       0 14.670429 21.93441 17.977328
## 10290       0 14.559271 22.17627 18.012411
## 10292       0 14.456782 22.41026 18.047562
## 10294       0 14.354868 22.69217 18.082782
## 10296       0 14.262584 22.94351 18.118070
## 10298       0 14.167677 23.19956 18.153428
## 10300       0 14.075860 23.46347 18.188854
## 10302       0 13.981751 23.71705 18.224349
## 10304       0 11.884939 14.34782 13.081450
## 10306       0  7.278795 12.16782  9.410003
## 10308       0  7.442278 12.22654  9.537256
## 10310       0  7.616903 12.27506  9.666230
## 10312       0  7.794476 12.33184  9.796948
## 10314       0  7.968878 12.37636  9.929433
## 10316       0  8.156875 12.43860 10.063711
## 10318       0  8.340492 12.49641 10.199804
## 10320       0  8.522020 12.56565 10.337738
## 10322       0  8.708284 12.62582 10.477537
## 10324       0  8.897316 12.69166 10.619226
## 10326       0  9.089560 12.74577 10.762832
## 10328       0  9.286074 12.80889 10.908379
## 10330       0  9.482701 12.88412 11.055895
## 10332       0  9.688510 12.95809 11.205406
## 10334       0  9.898005 13.03710 11.356939
## 10336       0 10.093741 13.13322 11.510520
## 10338       0 10.295404 13.21189 11.666179
## 10340       0 10.487528 13.31396 11.823943
## 10342       0 10.688480 13.41519 11.983840
## 10344       0 10.884731 13.51431 12.145900
## 10346       0 11.084090 13.63597 12.310151
## 10348       0 11.273297 13.76852 12.476623
## 10350       0 11.452446 13.92574 12.645346
## 10352       0 11.639194 14.08734 12.816351
## 10354       0 11.802069 14.25588 12.989669
## 10356       0 11.954662 14.44565 13.165331
## 10358       0 12.095975 14.67114 13.343368
## 10360       0 12.245470 14.88313 13.523812
## 10362       0 12.384249 15.12745 13.706697
## 10364       0 12.510622 15.39267 13.892055
## 10366       0 12.617263 15.66209 14.079920
## 10368       0 12.729714 15.96001 14.270325
## 10370       0 12.830995 16.26985 14.463305
## 10372       0 12.933504 16.58753 14.658895
## 10374       0 13.029273 16.92409 14.857129
## 10376       0 13.106783 17.27215 15.058045
## 10378       0 13.188133 17.64512 15.261677
## 10380       0 13.263707 18.01622 15.468064
## 10382       0 13.353466 18.42843 15.677241
## 10384       0 13.432372 18.82567 15.889247
## 10386       0 13.513453 19.23936 16.104120
## 10388       0 13.582972 19.67060 16.321898
## 10390       0 13.633575 20.10565 16.542622
## 10392       0 13.688893 20.55819 16.766331
## 10394       0 13.756667 21.01867 16.993065
## 10396       0 13.814921 21.49962 17.222865
## 10398       0 13.889533 22.00975 17.455773
## 10400       0 13.954464 22.51002 17.691830
## 10402       0 14.012368 22.99509 17.931080
## 10404       0 14.071917 23.51784 18.173565
## 10406       0 11.884939 14.34782 13.081450
## 10408       0  7.278795 12.16782  9.410003
## 10410       0  7.442278 12.22654  9.537256
## 10412       0  7.616903 12.27506  9.666230
## 10414       0  7.794476 12.33184  9.796948
## 10416       0  7.968878 12.37636  9.929433
## 10418       0  8.156875 12.43860 10.063711
## 10420       0  8.340492 12.49641 10.199804
## 10422       0  8.522020 12.56565 10.337738
## 10424       0  8.708284 12.62582 10.477537
## 10426       0  8.897316 12.69166 10.619226
## 10428       0  9.089560 12.74577 10.762832
## 10430       0  9.286074 12.80889 10.908379
## 10432       0  9.482701 12.88412 11.055895
## 10434       0  9.688510 12.95809 11.205406
## 10436       0  9.898005 13.03710 11.356939
## 10438       0 10.093741 13.13322 11.510520
## 10440       0 10.295404 13.21189 11.666179
## 10442       0 10.487528 13.31396 11.823943
## 10444       0 10.688480 13.41519 11.983840
## 10446       0 10.884731 13.51431 12.145900
## 10448       0 11.084090 13.63597 12.310151
## 10450       0 11.273297 13.76852 12.476623
## 10452       0 11.452446 13.92574 12.645346
## 10454       0 11.639194 14.08734 12.816351
## 10456       0 11.802069 14.25588 12.989669
## 10458       0 11.954662 14.44565 13.165331
## 10460       0 12.095975 14.67114 13.343368
## 10462       0 12.245470 14.88313 13.523812
## 10464       0 12.384249 15.12745 13.706697
## 10466       0 12.510622 15.39267 13.892055
## 10468       0 12.617263 15.66209 14.079920
## 10470       0 12.729714 15.96001 14.270325
## 10472       0 12.830995 16.26985 14.463305
## 10474       0 12.933504 16.58753 14.658895
## 10476       0 13.029273 16.92409 14.857129
## 10478       0 13.106783 17.27215 15.058045
## 10480       0 13.188133 17.64512 15.261677
## 10482       0 13.263707 18.01622 15.468064
## 10484       0 13.353466 18.42843 15.677241
## 10486       0 13.432372 18.82567 15.889247
## 10488       0 13.513453 19.23936 16.104120
## 10490       0 13.582972 19.67060 16.321898
## 10492       0 13.633575 20.10565 16.542622
## 10494       0 13.688893 20.55819 16.766331
## 10496       0 13.756667 21.01867 16.993065
## 10498       0 13.814921 21.49962 17.222865
## 10500       0 13.889533 22.00975 17.455773
## 10502       0 13.954464 22.51002 17.691830
## 10504       0 14.012368 22.99509 17.931080
## 10506       0 14.071917 23.51784 18.173565
## 10508       0 11.884939 14.34782 13.081450
## 10510       0  7.278795 12.16782  9.410003
## 10512       0  7.442278 12.22654  9.537256
## 10514       0  7.616903 12.27506  9.666230
## 10516       0  7.794476 12.33184  9.796948
## 10518       0  7.968878 12.37636  9.929433
## 10520       0  8.156875 12.43860 10.063711
## 10522       0  8.340492 12.49641 10.199804
## 10524       0  8.522020 12.56565 10.337738
## 10526       0  8.708284 12.62582 10.477537
## 10528       0  8.897316 12.69166 10.619226
## 10530       0  9.089560 12.74577 10.762832
## 10532       0  9.286074 12.80889 10.908379
## 10534       0  9.482701 12.88412 11.055895
## 10536       0  9.688510 12.95809 11.205406
## 10538       0  9.898005 13.03710 11.356939
## 10540       0 10.093741 13.13322 11.510520
## 10542       0 10.295404 13.21189 11.666179
## 10544       0 10.487528 13.31396 11.823943
## 10546       0 10.688480 13.41519 11.983840
## 10548       0 10.884731 13.51431 12.145900
## 10550       0 11.084090 13.63597 12.310151
## 10552       0 11.273297 13.76852 12.476623
## 10554       0 11.452446 13.92574 12.645346
## 10556       0 11.639194 14.08734 12.816351
## 10558       0 11.802069 14.25588 12.989669
## 10560       0 11.954662 14.44565 13.165331
## 10562       0 12.095975 14.67114 13.343368
## 10564       0 12.245470 14.88313 13.523812
## 10566       0 12.384249 15.12745 13.706697
## 10568       0 12.510622 15.39267 13.892055
## 10570       0 12.617263 15.66209 14.079920
## 10572       0 12.729714 15.96001 14.270325
## 10574       0 12.830995 16.26985 14.463305
## 10576       0 12.933504 16.58753 14.658895
## 10578       0 13.029273 16.92409 14.857129
## 10580       0 13.106783 17.27215 15.058045
## 10582       0 13.188133 17.64512 15.261677
## 10584       0 13.263707 18.01622 15.468064
## 10586       0 13.353466 18.42843 15.677241
## 10588       0 13.432372 18.82567 15.889247
## 10590       0 13.513453 19.23936 16.104120
## 10592       0 13.582972 19.67060 16.321898
## 10594       0 13.633575 20.10565 16.542622
## 10596       0 13.688893 20.55819 16.766331
## 10598       0 13.756667 21.01867 16.993065
## 10600       0 13.814921 21.49962 17.222865
## 10602       0 13.889533 22.00975 17.455773
## 10604       0 13.954464 22.51002 17.691830
## 10606       0 14.012368 22.99509 17.931080
## 10608       0 14.071917 23.51784 18.173565
## 10610       0 11.884939 14.34782 13.081450
## 10612       0  7.278795 12.16782  9.410003
## 10614       0  7.442278 12.22654  9.537256
## 10616       0  7.616903 12.27506  9.666230
## 10618       0  7.794476 12.33184  9.796948
## 10620       0  7.968878 12.37636  9.929433
## 10622       0  8.156875 12.43860 10.063711
## 10624       0  8.340492 12.49641 10.199804
## 10626       0  8.522020 12.56565 10.337738
## 10628       0  8.708284 12.62582 10.477537
## 10630       0  8.897316 12.69166 10.619226
## 10632       0  9.089560 12.74577 10.762832
## 10634       0  9.286074 12.80889 10.908379
## 10636       0  9.482701 12.88412 11.055895
## 10638       0  9.688510 12.95809 11.205406
## 10640       0  9.898005 13.03710 11.356939
## 10642       0 10.093741 13.13322 11.510520
## 10644       0 10.295404 13.21189 11.666179
## 10646       0 10.487528 13.31396 11.823943
## 10648       0 10.688480 13.41519 11.983840
## 10650       0 10.884731 13.51431 12.145900
## 10652       0 11.084090 13.63597 12.310151
## 10654       0 11.273297 13.76852 12.476623
## 10656       0 11.452446 13.92574 12.645346
## 10658       0 11.639194 14.08734 12.816351
## 10660       0 11.802069 14.25588 12.989669
## 10662       0 11.954662 14.44565 13.165331
## 10664       0 12.095975 14.67114 13.343368
## 10666       0 12.245470 14.88313 13.523812
## 10668       0 12.384249 15.12745 13.706697
## 10670       0 12.510622 15.39267 13.892055
## 10672       0 12.617263 15.66209 14.079920
## 10674       0 12.729714 15.96001 14.270325
## 10676       0 12.830995 16.26985 14.463305
## 10678       0 12.933504 16.58753 14.658895
## 10680       0 13.029273 16.92409 14.857129
## 10682       0 13.106783 17.27215 15.058045
## 10684       0 13.188133 17.64512 15.261677
## 10686       0 13.263707 18.01622 15.468064
## 10688       0 13.353466 18.42843 15.677241
## 10690       0 13.432372 18.82567 15.889247
## 10692       0 13.513453 19.23936 16.104120
## 10694       0 13.582972 19.67060 16.321898
## 10696       0 13.633575 20.10565 16.542622
## 10698       0 13.688893 20.55819 16.766331
## 10700       0 13.756667 21.01867 16.993065
## 10702       0 13.814921 21.49962 17.222865
## 10704       0 13.889533 22.00975 17.455773
## 10706       0 13.954464 22.51002 17.691830
## 10708       0 14.012368 22.99509 17.931080
## 10710       0 14.071917 23.51784 18.173565
## 10712       0 11.884939 14.34782 13.081450
## 10714       0  7.278795 12.16782  9.410003
## 10716       0  7.442278 12.22654  9.537256
## 10718       0  7.616903 12.27506  9.666230
## 10720       0  7.794476 12.33184  9.796948
## 10722       0  7.968878 12.37636  9.929433
## 10724       0  8.156875 12.43860 10.063711
## 10726       0  8.340492 12.49641 10.199804
## 10728       0  8.522020 12.56565 10.337738
## 10730       0  8.708284 12.62582 10.477537
## 10732       0  8.897316 12.69166 10.619226
## 10734       0  9.089560 12.74577 10.762832
## 10736       0  9.286074 12.80889 10.908379
## 10738       0  9.482701 12.88412 11.055895
## 10740       0  9.688510 12.95809 11.205406
## 10742       0  9.898005 13.03710 11.356939
## 10744       0 10.093741 13.13322 11.510520
## 10746       0 10.295404 13.21189 11.666179
## 10748       0 10.487528 13.31396 11.823943
## 10750       0 10.688480 13.41519 11.983840
## 10752       0 10.884731 13.51431 12.145900
## 10754       0 11.084090 13.63597 12.310151
## 10756       0 11.273297 13.76852 12.476623
## 10758       0 11.452446 13.92574 12.645346
## 10760       0 11.639194 14.08734 12.816351
## 10762       0 11.802069 14.25588 12.989669
## 10764       0 11.954662 14.44565 13.165331
## 10766       0 12.095975 14.67114 13.343368
## 10768       0 12.245470 14.88313 13.523812
## 10770       0 12.384249 15.12745 13.706697
## 10772       0 12.510622 15.39267 13.892055
## 10774       0 12.617263 15.66209 14.079920
## 10776       0 12.729714 15.96001 14.270325
## 10778       0 12.830995 16.26985 14.463305
## 10780       0 12.933504 16.58753 14.658895
## 10782       0 13.029273 16.92409 14.857129
## 10784       0 13.106783 17.27215 15.058045
## 10786       0 13.188133 17.64512 15.261677
## 10788       0 13.263707 18.01622 15.468064
## 10790       0 13.353466 18.42843 15.677241
## 10792       0 13.432372 18.82567 15.889247
## 10794       0 13.513453 19.23936 16.104120
## 10796       0 13.582972 19.67060 16.321898
## 10798       0 13.633575 20.10565 16.542622
## 10800       0 13.688893 20.55819 16.766331
## 10802       0 13.756667 21.01867 16.993065
## 10804       0 13.814921 21.49962 17.222865
## 10806       0 13.889533 22.00975 17.455773
## 10808       0 13.954464 22.51002 17.691830
## 10810       0 14.012368 22.99509 17.931080
## 10812       0 14.071917 23.51784 18.173565
## 10814       0 11.884939 14.34782 13.081450
## 10816       0  7.278795 12.16782  9.410003
## 10818       0  7.442278 12.22654  9.537256
## 10820       0  7.616903 12.27506  9.666230
## 10822       0  7.794476 12.33184  9.796948
## 10824       0  7.968878 12.37636  9.929433
## 10826       0  8.156875 12.43860 10.063711
## 10828       0  8.340492 12.49641 10.199804
## 10830       0  8.522020 12.56565 10.337738
## 10832       0  8.708284 12.62582 10.477537
## 10834       0  8.897316 12.69166 10.619226
## 10836       0  9.089560 12.74577 10.762832
## 10838       0  9.286074 12.80889 10.908379
## 10840       0  9.482701 12.88412 11.055895
## 10842       0  9.688510 12.95809 11.205406
## 10844       0  9.898005 13.03710 11.356939
## 10846       0 10.093741 13.13322 11.510520
## 10848       0 10.295404 13.21189 11.666179
## 10850       0 10.487528 13.31396 11.823943
## 10852       0 10.688480 13.41519 11.983840
## 10854       0 10.884731 13.51431 12.145900
## 10856       0 11.084090 13.63597 12.310151
## 10858       0 11.273297 13.76852 12.476623
## 10860       0 11.452446 13.92574 12.645346
## 10862       0 11.639194 14.08734 12.816351
## 10864       0 11.802069 14.25588 12.989669
## 10866       0 11.954662 14.44565 13.165331
## 10868       0 12.095975 14.67114 13.343368
## 10870       0 12.245470 14.88313 13.523812
## 10872       0 12.384249 15.12745 13.706697
## 10874       0 12.510622 15.39267 13.892055
## 10876       0 12.617263 15.66209 14.079920
## 10878       0 12.729714 15.96001 14.270325
## 10880       0 12.830995 16.26985 14.463305
## 10882       0 12.933504 16.58753 14.658895
## 10884       0 13.029273 16.92409 14.857129
## 10886       0 13.106783 17.27215 15.058045
## 10888       0 13.188133 17.64512 15.261677
## 10890       0 13.263707 18.01622 15.468064
## 10892       0 13.353466 18.42843 15.677241
## 10894       0 13.432372 18.82567 15.889247
## 10896       0 13.513453 19.23936 16.104120
## 10898       0 13.582972 19.67060 16.321898
## 10900       0 13.633575 20.10565 16.542622
## 10902       0 13.688893 20.55819 16.766331
## 10904       0 13.756667 21.01867 16.993065
## 10906       0 13.814921 21.49962 17.222865
## 10908       0 13.889533 22.00975 17.455773
## 10910       0 13.954464 22.51002 17.691830
## 10912       0 14.012368 22.99509 17.931080
## 10914       0 14.071917 23.51784 18.173565
## 10916       0 11.884939 14.34782 13.081450
## 10918       0  7.278795 12.16782  9.410003
## 10920       0  7.442278 12.22654  9.537256
## 10922       0  7.616903 12.27506  9.666230
## 10924       0  7.794476 12.33184  9.796948
## 10926       0  7.968878 12.37636  9.929433
## 10928       0  8.156875 12.43860 10.063711
## 10930       0  8.340492 12.49641 10.199804
## 10932       0  8.522020 12.56565 10.337738
## 10934       0  8.708284 12.62582 10.477537
## 10936       0  8.897316 12.69166 10.619226
## 10938       0  9.089560 12.74577 10.762832
## 10940       0  9.286074 12.80889 10.908379
## 10942       0  9.482701 12.88412 11.055895
## 10944       0  9.688510 12.95809 11.205406
## 10946       0  9.898005 13.03710 11.356939
## 10948       0 10.093741 13.13322 11.510520
## 10950       0 10.295404 13.21189 11.666179
## 10952       0 10.487528 13.31396 11.823943
## 10954       0 10.688480 13.41519 11.983840
## 10956       0 10.884731 13.51431 12.145900
## 10958       0 11.084090 13.63597 12.310151
## 10960       0 11.273297 13.76852 12.476623
## 10962       0 11.452446 13.92574 12.645346
## 10964       0 11.639194 14.08734 12.816351
## 10966       0 11.802069 14.25588 12.989669
## 10968       0 11.954662 14.44565 13.165331
## 10970       0 12.095975 14.67114 13.343368
## 10972       0 12.245470 14.88313 13.523812
## 10974       0 12.384249 15.12745 13.706697
## 10976       0 12.510622 15.39267 13.892055
## 10978       0 12.617263 15.66209 14.079920
## 10980       0 12.729714 15.96001 14.270325
## 10982       0 12.830995 16.26985 14.463305
## 10984       0 12.933504 16.58753 14.658895
## 10986       0 13.029273 16.92409 14.857129
## 10988       0 13.106783 17.27215 15.058045
## 10990       0 13.188133 17.64512 15.261677
## 10992       0 13.263707 18.01622 15.468064
## 10994       0 13.353466 18.42843 15.677241
## 10996       0 13.432372 18.82567 15.889247
## 10998       0 13.513453 19.23936 16.104120
## 11000       0 13.582972 19.67060 16.321898
## 11002       0 13.633575 20.10565 16.542622
## 11004       0 13.688893 20.55819 16.766331
## 11006       0 13.756667 21.01867 16.993065
## 11008       0 13.814921 21.49962 17.222865
## 11010       0 13.889533 22.00975 17.455773
## 11012       0 13.954464 22.51002 17.691830
## 11014       0 14.012368 22.99509 17.931080
## 11016       0 14.071917 23.51784 18.173565
## 11018       0 11.884939 14.34782 13.081450
## 11020       0  7.278795 12.16782  9.410003
## 11022       0  7.442278 12.22654  9.537256
## 11024       0  7.616903 12.27506  9.666230
## 11026       0  7.794476 12.33184  9.796948
## 11028       0  7.968878 12.37636  9.929433
## 11030       0  8.156875 12.43860 10.063711
## 11032       0  8.340492 12.49641 10.199804
## 11034       0  8.522020 12.56565 10.337738
## 11036       0  8.708284 12.62582 10.477537
## 11038       0  8.897316 12.69166 10.619226
## 11040       0  9.089560 12.74577 10.762832
## 11042       0  9.286074 12.80889 10.908379
## 11044       0  9.482701 12.88412 11.055895
## 11046       0  9.688510 12.95809 11.205406
## 11048       0  9.898005 13.03710 11.356939
## 11050       0 10.093741 13.13322 11.510520
## 11052       0 10.295404 13.21189 11.666179
## 11054       0 10.487528 13.31396 11.823943
## 11056       0 10.688480 13.41519 11.983840
## 11058       0 10.884731 13.51431 12.145900
## 11060       0 11.084090 13.63597 12.310151
## 11062       0 11.273297 13.76852 12.476623
## 11064       0 11.452446 13.92574 12.645346
## 11066       0 11.639194 14.08734 12.816351
## 11068       0 11.802069 14.25588 12.989669
## 11070       0 11.954662 14.44565 13.165331
## 11072       0 12.095975 14.67114 13.343368
## 11074       0 12.245470 14.88313 13.523812
## 11076       0 12.384249 15.12745 13.706697
## 11078       0 12.510622 15.39267 13.892055
## 11080       0 12.617263 15.66209 14.079920
## 11082       0 12.729714 15.96001 14.270325
## 11084       0 12.830995 16.26985 14.463305
## 11086       0 12.933504 16.58753 14.658895
## 11088       0 13.029273 16.92409 14.857129
## 11090       0 13.106783 17.27215 15.058045
## 11092       0 13.188133 17.64512 15.261677
## 11094       0 13.263707 18.01622 15.468064
## 11096       0 13.353466 18.42843 15.677241
## 11098       0 13.432372 18.82567 15.889247
## 11100       0 13.513453 19.23936 16.104120
## 11102       0 13.582972 19.67060 16.321898
## 11104       0 13.633575 20.10565 16.542622
## 11106       0 13.688893 20.55819 16.766331
## 11108       0 13.756667 21.01867 16.993065
## 11110       0 13.814921 21.49962 17.222865
## 11112       0 13.889533 22.00975 17.455773
## 11114       0 13.954464 22.51002 17.691830
## 11116       0 14.012368 22.99509 17.931080
## 11118       0 14.071917 23.51784 18.173565
## 11120       0 11.884939 14.34782 13.081450
## 11122       0  7.278795 12.16782  9.410003
## 11124       0  7.442278 12.22654  9.537256
## 11126       0  7.616903 12.27506  9.666230
## 11128       0  7.794476 12.33184  9.796948
## 11130       0  7.968878 12.37636  9.929433
## 11132       0  8.156875 12.43860 10.063711
## 11134       0  8.340492 12.49641 10.199804
## 11136       0  8.522020 12.56565 10.337738
## 11138       0  8.708284 12.62582 10.477537
## 11140       0  8.897316 12.69166 10.619226
## 11142       0  9.089560 12.74577 10.762832
## 11144       0  9.286074 12.80889 10.908379
## 11146       0  9.482701 12.88412 11.055895
## 11148       0  9.688510 12.95809 11.205406
## 11150       0  9.898005 13.03710 11.356939
## 11152       0 10.093741 13.13322 11.510520
## 11154       0 10.295404 13.21189 11.666179
## 11156       0 10.487528 13.31396 11.823943
## 11158       0 10.688480 13.41519 11.983840
## 11160       0 10.884731 13.51431 12.145900
## 11162       0 11.084090 13.63597 12.310151
## 11164       0 11.273297 13.76852 12.476623
## 11166       0 11.452446 13.92574 12.645346
## 11168       0 11.639194 14.08734 12.816351
## 11170       0 11.802069 14.25588 12.989669
## 11172       0 11.954662 14.44565 13.165331
## 11174       0 12.095975 14.67114 13.343368
## 11176       0 12.245470 14.88313 13.523812
## 11178       0 12.384249 15.12745 13.706697
## 11180       0 12.510622 15.39267 13.892055
## 11182       0 12.617263 15.66209 14.079920
## 11184       0 12.729714 15.96001 14.270325
## 11186       0 12.830995 16.26985 14.463305
## 11188       0 12.933504 16.58753 14.658895
## 11190       0 13.029273 16.92409 14.857129
## 11192       0 13.106783 17.27215 15.058045
## 11194       0 13.188133 17.64512 15.261677
## 11196       0 13.263707 18.01622 15.468064
## 11198       0 13.353466 18.42843 15.677241
## 11200       0 13.432372 18.82567 15.889247
## 11202       0 13.513453 19.23936 16.104120
## 11204       0 13.582972 19.67060 16.321898
## 11206       0 13.633575 20.10565 16.542622
## 11208       0 13.688893 20.55819 16.766331
## 11210       0 13.756667 21.01867 16.993065
## 11212       0 13.814921 21.49962 17.222865
## 11214       0 13.889533 22.00975 17.455773
## 11216       0 13.954464 22.51002 17.691830
## 11218       0 14.012368 22.99509 17.931080
## 11220       0 14.071917 23.51784 18.173565
## 11222       0 11.884939 14.34782 13.081450
## 11224       0  7.278795 12.16782  9.410003
## 11226       0  7.442278 12.22654  9.537256
## 11228       0  7.616903 12.27506  9.666230
## 11230       0  7.794476 12.33184  9.796948
## 11232       0  7.968878 12.37636  9.929433
## 11234       0  8.156875 12.43860 10.063711
## 11236       0  8.340492 12.49641 10.199804
## 11238       0  8.522020 12.56565 10.337738
## 11240       0  8.708284 12.62582 10.477537
## 11242       0  8.897316 12.69166 10.619226
## 11244       0  9.089560 12.74577 10.762832
## 11246       0  9.286074 12.80889 10.908379
## 11248       0  9.482701 12.88412 11.055895
## 11250       0  9.688510 12.95809 11.205406
## 11252       0  9.898005 13.03710 11.356939
## 11254       0 10.093741 13.13322 11.510520
## 11256       0 10.295404 13.21189 11.666179
## 11258       0 10.487528 13.31396 11.823943
## 11260       0 10.688480 13.41519 11.983840
## 11262       0 10.884731 13.51431 12.145900
## 11264       0 11.084090 13.63597 12.310151
## 11266       0 11.273297 13.76852 12.476623
## 11268       0 11.452446 13.92574 12.645346
## 11270       0 11.639194 14.08734 12.816351
## 11272       0 11.802069 14.25588 12.989669
## 11274       0 11.954662 14.44565 13.165331
## 11276       0 12.095975 14.67114 13.343368
## 11278       0 12.245470 14.88313 13.523812
## 11280       0 12.384249 15.12745 13.706697
## 11282       0 12.510622 15.39267 13.892055
## 11284       0 12.617263 15.66209 14.079920
## 11286       0 12.729714 15.96001 14.270325
## 11288       0 12.830995 16.26985 14.463305
## 11290       0 12.933504 16.58753 14.658895
## 11292       0 13.029273 16.92409 14.857129
## 11294       0 13.106783 17.27215 15.058045
## 11296       0 13.188133 17.64512 15.261677
## 11298       0 13.263707 18.01622 15.468064
## 11300       0 13.353466 18.42843 15.677241
## 11302       0 13.432372 18.82567 15.889247
## 11304       0 13.513453 19.23936 16.104120
## 11306       0 13.582972 19.67060 16.321898
## 11308       0 13.633575 20.10565 16.542622
## 11310       0 13.688893 20.55819 16.766331
## 11312       0 13.756667 21.01867 16.993065
## 11314       0 13.814921 21.49962 17.222865
## 11316       0 13.889533 22.00975 17.455773
## 11318       0 13.954464 22.51002 17.691830
## 11320       0 14.012368 22.99509 17.931080
## 11322       0 14.071917 23.51784 18.173565
## 11324       0 11.884939 14.34782 13.081450
## 11326       0  7.278795 12.16782  9.410003
## 11328       0  7.442278 12.22654  9.537256
## 11330       0  7.616903 12.27506  9.666230
## 11332       0  7.794476 12.33184  9.796948
## 11334       0  7.968878 12.37636  9.929433
## 11336       0  8.156875 12.43860 10.063711
## 11338       0  8.340492 12.49641 10.199804
## 11340       0  8.522020 12.56565 10.337738
## 11342       0  8.708284 12.62582 10.477537
## 11344       0  8.897316 12.69166 10.619226
## 11346       0  9.089560 12.74577 10.762832
## 11348       0  9.286074 12.80889 10.908379
## 11350       0  9.482701 12.88412 11.055895
## 11352       0  9.688510 12.95809 11.205406
## 11354       0  9.898005 13.03710 11.356939
## 11356       0 10.093741 13.13322 11.510520
## 11358       0 10.295404 13.21189 11.666179
## 11360       0 10.487528 13.31396 11.823943
## 11362       0 10.688480 13.41519 11.983840
## 11364       0 10.884731 13.51431 12.145900
## 11366       0 11.084090 13.63597 12.310151
## 11368       0 11.273297 13.76852 12.476623
## 11370       0 11.452446 13.92574 12.645346
## 11372       0 11.639194 14.08734 12.816351
## 11374       0 11.802069 14.25588 12.989669
## 11376       0 11.954662 14.44565 13.165331
## 11378       0 12.095975 14.67114 13.343368
## 11380       0 12.245470 14.88313 13.523812
## 11382       0 12.384249 15.12745 13.706697
## 11384       0 12.510622 15.39267 13.892055
## 11386       0 12.617263 15.66209 14.079920
## 11388       0 12.729714 15.96001 14.270325
## 11390       0 12.830995 16.26985 14.463305
## 11392       0 12.933504 16.58753 14.658895
## 11394       0 13.029273 16.92409 14.857129
## 11396       0 13.106783 17.27215 15.058045
## 11398       0 13.188133 17.64512 15.261677
## 11400       0 13.263707 18.01622 15.468064
## 11402       0 13.353466 18.42843 15.677241
## 11404       0 13.432372 18.82567 15.889247
## 11406       0 13.513453 19.23936 16.104120
## 11408       0 13.582972 19.67060 16.321898
## 11410       0 13.633575 20.10565 16.542622
## 11412       0 13.688893 20.55819 16.766331
## 11414       0 13.756667 21.01867 16.993065
## 11416       0 13.814921 21.49962 17.222865
## 11418       0 13.889533 22.00975 17.455773
## 11420       0 13.954464 22.51002 17.691830
## 11422       0 14.012368 22.99509 17.931080
## 11424       0 14.071917 23.51784 18.173565
## 11426       0 11.884939 14.34782 13.081450
## 11428       0  7.278795 12.16782  9.410003
## 11430       0  7.442278 12.22654  9.537256
## 11432       0  7.616903 12.27506  9.666230
## 11434       0  7.794476 12.33184  9.796948
## 11436       0  7.968878 12.37636  9.929433
## 11438       0  8.156875 12.43860 10.063711
## 11440       0  8.340492 12.49641 10.199804
## 11442       0  8.522020 12.56565 10.337738
## 11444       0  8.708284 12.62582 10.477537
## 11446       0  8.897316 12.69166 10.619226
## 11448       0  9.089560 12.74577 10.762832
## 11450       0  9.286074 12.80889 10.908379
## 11452       0  9.482701 12.88412 11.055895
## 11454       0  9.688510 12.95809 11.205406
## 11456       0  9.898005 13.03710 11.356939
## 11458       0 10.093741 13.13322 11.510520
## 11460       0 10.295404 13.21189 11.666179
## 11462       0 10.487528 13.31396 11.823943
## 11464       0 10.688480 13.41519 11.983840
## 11466       0 10.884731 13.51431 12.145900
## 11468       0 11.084090 13.63597 12.310151
## 11470       0 11.273297 13.76852 12.476623
## 11472       0 11.452446 13.92574 12.645346
## 11474       0 11.639194 14.08734 12.816351
## 11476       0 11.802069 14.25588 12.989669
## 11478       0 11.954662 14.44565 13.165331
## 11480       0 12.095975 14.67114 13.343368
## 11482       0 12.245470 14.88313 13.523812
## 11484       0 12.384249 15.12745 13.706697
## 11486       0 12.510622 15.39267 13.892055
## 11488       0 12.617263 15.66209 14.079920
## 11490       0 12.729714 15.96001 14.270325
## 11492       0 12.830995 16.26985 14.463305
## 11494       0 12.933504 16.58753 14.658895
## 11496       0 13.029273 16.92409 14.857129
## 11498       0 13.106783 17.27215 15.058045
## 11500       0 13.188133 17.64512 15.261677
## 11502       0 13.263707 18.01622 15.468064
## 11504       0 13.353466 18.42843 15.677241
## 11506       0 13.432372 18.82567 15.889247
## 11508       0 13.513453 19.23936 16.104120
## 11510       0 13.582972 19.67060 16.321898
## 11512       0 13.633575 20.10565 16.542622
## 11514       0 13.688893 20.55819 16.766331
## 11516       0 13.756667 21.01867 16.993065
## 11518       0 13.814921 21.49962 17.222865
## 11520       0 13.889533 22.00975 17.455773
## 11522       0 13.954464 22.51002 17.691830
## 11524       0 14.012368 22.99509 17.931080
## 11526       0 14.071917 23.51784 18.173565
## 11528       0 11.884939 14.34782 13.081450
## 11530       0  7.278795 12.16782  9.410003
## 11532       0  7.442278 12.22654  9.537256
## 11534       0  7.616903 12.27506  9.666230
## 11536       0  7.794476 12.33184  9.796948
## 11538       0  7.968878 12.37636  9.929433
## 11540       0  8.156875 12.43860 10.063711
## 11542       0  8.340492 12.49641 10.199804
## 11544       0  8.522020 12.56565 10.337738
## 11546       0  8.708284 12.62582 10.477537
## 11548       0  8.897316 12.69166 10.619226
## 11550       0  9.089560 12.74577 10.762832
## 11552       0  9.286074 12.80889 10.908379
## 11554       0  9.482701 12.88412 11.055895
## 11556       0  9.688510 12.95809 11.205406
## 11558       0  9.898005 13.03710 11.356939
## 11560       0 10.093741 13.13322 11.510520
## 11562       0 10.295404 13.21189 11.666179
## 11564       0 10.487528 13.31396 11.823943
## 11566       0 10.688480 13.41519 11.983840
## 11568       0 10.884731 13.51431 12.145900
## 11570       0 11.084090 13.63597 12.310151
## 11572       0 11.273297 13.76852 12.476623
## 11574       0 11.452446 13.92574 12.645346
## 11576       0 11.639194 14.08734 12.816351
## 11578       0 11.802069 14.25588 12.989669
## 11580       0 11.954662 14.44565 13.165331
## 11582       0 12.095975 14.67114 13.343368
## 11584       0 12.245470 14.88313 13.523812
## 11586       0 12.384249 15.12745 13.706697
## 11588       0 12.510622 15.39267 13.892055
## 11590       0 12.617263 15.66209 14.079920
## 11592       0 12.729714 15.96001 14.270325
## 11594       0 12.830995 16.26985 14.463305
## 11596       0 12.933504 16.58753 14.658895
## 11598       0 13.029273 16.92409 14.857129
## 11600       0 13.106783 17.27215 15.058045
## 11602       0 13.188133 17.64512 15.261677
## 11604       0 13.263707 18.01622 15.468064
## 11606       0 13.353466 18.42843 15.677241
## 11608       0 13.432372 18.82567 15.889247
## 11610       0 13.513453 19.23936 16.104120
## 11612       0 13.582972 19.67060 16.321898
## 11614       0 13.633575 20.10565 16.542622
## 11616       0 13.688893 20.55819 16.766331
## 11618       0 13.756667 21.01867 16.993065
## 11620       0 13.814921 21.49962 17.222865
## 11622       0 13.889533 22.00975 17.455773
## 11624       0 13.954464 22.51002 17.691830
## 11626       0 14.012368 22.99509 17.931080
## 11628       0 14.071917 23.51784 18.173565
## 11630       0 11.884939 14.34782 13.081450
## 11632       0  7.278795 12.16782  9.410003
## 11634       0  7.442278 12.22654  9.537256
## 11636       0  7.616903 12.27506  9.666230
## 11638       0  7.794476 12.33184  9.796948
## 11640       0  7.968878 12.37636  9.929433
## 11642       0  8.156875 12.43860 10.063711
## 11644       0  8.340492 12.49641 10.199804
## 11646       0  8.522020 12.56565 10.337738
## 11648       0  8.708284 12.62582 10.477537
## 11650       0  8.897316 12.69166 10.619226
## 11652       0  9.089560 12.74577 10.762832
## 11654       0  9.286074 12.80889 10.908379
## 11656       0  9.482701 12.88412 11.055895
## 11658       0  9.688510 12.95809 11.205406
## 11660       0  9.898005 13.03710 11.356939
## 11662       0 10.093741 13.13322 11.510520
## 11664       0 10.295404 13.21189 11.666179
## 11666       0 10.487528 13.31396 11.823943
## 11668       0 10.688480 13.41519 11.983840
## 11670       0 10.884731 13.51431 12.145900
## 11672       0 11.084090 13.63597 12.310151
## 11674       0 11.273297 13.76852 12.476623
## 11676       0 11.452446 13.92574 12.645346
## 11678       0 11.639194 14.08734 12.816351
## 11680       0 11.802069 14.25588 12.989669
## 11682       0 11.954662 14.44565 13.165331
## 11684       0 12.095975 14.67114 13.343368
## 11686       0 12.245470 14.88313 13.523812
## 11688       0 12.384249 15.12745 13.706697
## 11690       0 12.510622 15.39267 13.892055
## 11692       0 12.617263 15.66209 14.079920
## 11694       0 12.729714 15.96001 14.270325
## 11696       0 12.830995 16.26985 14.463305
## 11698       0 12.933504 16.58753 14.658895
## 11700       0 13.029273 16.92409 14.857129
## 11702       0 13.106783 17.27215 15.058045
## 11704       0 13.188133 17.64512 15.261677
## 11706       0 13.263707 18.01622 15.468064
## 11708       0 13.353466 18.42843 15.677241
## 11710       0 13.432372 18.82567 15.889247
## 11712       0 13.513453 19.23936 16.104120
## 11714       0 13.582972 19.67060 16.321898
## 11716       0 13.633575 20.10565 16.542622
## 11718       0 13.688893 20.55819 16.766331
## 11720       0 13.756667 21.01867 16.993065
## 11722       0 13.814921 21.49962 17.222865
## 11724       0 13.889533 22.00975 17.455773
## 11726       0 13.954464 22.51002 17.691830
## 11728       0 14.012368 22.99509 17.931080
## 11730       0 14.071917 23.51784 18.173565
## 11732       0 11.884939 14.34782 13.081450
## 11734       0  7.278795 12.16782  9.410003
## 11736       0  7.442278 12.22654  9.537256
## 11738       0  7.616903 12.27506  9.666230
## 11740       0  7.794476 12.33184  9.796948
## 11742       0  7.968878 12.37636  9.929433
## 11744       0  8.156875 12.43860 10.063711
## 11746       0  8.340492 12.49641 10.199804
## 11748       0  8.522020 12.56565 10.337738
## 11750       0  8.708284 12.62582 10.477537
## 11752       0  8.897316 12.69166 10.619226
## 11754       0  9.089560 12.74577 10.762832
## 11756       0  9.286074 12.80889 10.908379
## 11758       0  9.482701 12.88412 11.055895
## 11760       0  9.688510 12.95809 11.205406
## 11762       0  9.898005 13.03710 11.356939
## 11764       0 10.093741 13.13322 11.510520
## 11766       0 10.295404 13.21189 11.666179
## 11768       0 10.487528 13.31396 11.823943
## 11770       0 10.688480 13.41519 11.983840
## 11772       0 10.884731 13.51431 12.145900
## 11774       0 11.084090 13.63597 12.310151
## 11776       0 11.273297 13.76852 12.476623
## 11778       0 11.452446 13.92574 12.645346
## 11780       0 11.639194 14.08734 12.816351
## 11782       0 11.802069 14.25588 12.989669
## 11784       0 11.954662 14.44565 13.165331
## 11786       0 12.095975 14.67114 13.343368
## 11788       0 12.245470 14.88313 13.523812
## 11790       0 12.384249 15.12745 13.706697
## 11792       0 12.510622 15.39267 13.892055
## 11794       0 12.617263 15.66209 14.079920
## 11796       0 12.729714 15.96001 14.270325
## 11798       0 12.830995 16.26985 14.463305
## 11800       0 12.933504 16.58753 14.658895
## 11802       0 13.029273 16.92409 14.857129
## 11804       0 13.106783 17.27215 15.058045
## 11806       0 13.188133 17.64512 15.261677
## 11808       0 13.263707 18.01622 15.468064
## 11810       0 13.353466 18.42843 15.677241
## 11812       0 13.432372 18.82567 15.889247
## 11814       0 13.513453 19.23936 16.104120
## 11816       0 13.582972 19.67060 16.321898
## 11818       0 13.633575 20.10565 16.542622
## 11820       0 13.688893 20.55819 16.766331
## 11822       0 13.756667 21.01867 16.993065
## 11824       0 13.814921 21.49962 17.222865
## 11826       0 13.889533 22.00975 17.455773
## 11828       0 13.954464 22.51002 17.691830
## 11830       0 14.012368 22.99509 17.931080
## 11832       0 14.071917 23.51784 18.173565
## 11834       0 11.884939 14.34782 13.081450
## 11836       0  7.278795 12.16782  9.410003
## 11838       0  7.442278 12.22654  9.537256
## 11840       0  7.616903 12.27506  9.666230
## 11842       0  7.794476 12.33184  9.796948
## 11844       0  7.968878 12.37636  9.929433
## 11846       0  8.156875 12.43860 10.063711
## 11848       0  8.340492 12.49641 10.199804
## 11850       0  8.522020 12.56565 10.337738
## 11852       0  8.708284 12.62582 10.477537
## 11854       0  8.897316 12.69166 10.619226
## 11856       0  9.089560 12.74577 10.762832
## 11858       0  9.286074 12.80889 10.908379
## 11860       0  9.482701 12.88412 11.055895
## 11862       0  9.688510 12.95809 11.205406
## 11864       0  9.898005 13.03710 11.356939
## 11866       0 10.093741 13.13322 11.510520
## 11868       0 10.295404 13.21189 11.666179
## 11870       0 10.487528 13.31396 11.823943
## 11872       0 10.688480 13.41519 11.983840
## 11874       0 10.884731 13.51431 12.145900
## 11876       0 11.084090 13.63597 12.310151
## 11878       0 11.273297 13.76852 12.476623
## 11880       0 11.452446 13.92574 12.645346
## 11882       0 11.639194 14.08734 12.816351
## 11884       0 11.802069 14.25588 12.989669
## 11886       0 11.954662 14.44565 13.165331
## 11888       0 12.095975 14.67114 13.343368
## 11890       0 12.245470 14.88313 13.523812
## 11892       0 12.384249 15.12745 13.706697
## 11894       0 12.510622 15.39267 13.892055
## 11896       0 12.617263 15.66209 14.079920
## 11898       0 12.729714 15.96001 14.270325
## 11900       0 12.830995 16.26985 14.463305
## 11902       0 12.933504 16.58753 14.658895
## 11904       0 13.029273 16.92409 14.857129
## 11906       0 13.106783 17.27215 15.058045
## 11908       0 13.188133 17.64512 15.261677
## 11910       0 13.263707 18.01622 15.468064
## 11912       0 13.353466 18.42843 15.677241
## 11914       0 13.432372 18.82567 15.889247
## 11916       0 13.513453 19.23936 16.104120
## 11918       0 13.582972 19.67060 16.321898
## 11920       0 13.633575 20.10565 16.542622
## 11922       0 13.688893 20.55819 16.766331
## 11924       0 13.756667 21.01867 16.993065
## 11926       0 13.814921 21.49962 17.222865
## 11928       0 13.889533 22.00975 17.455773
## 11930       0 13.954464 22.51002 17.691830
## 11932       0 14.012368 22.99509 17.931080
## 11934       0 14.071917 23.51784 18.173565
## 11936       0 11.884939 14.34782 13.081450
## 11938       0  7.278795 12.16782  9.410003
## 11940       0  7.442278 12.22654  9.537256
## 11942       0  7.616903 12.27506  9.666230
## 11944       0  7.794476 12.33184  9.796948
## 11946       0  7.968878 12.37636  9.929433
## 11948       0  8.156875 12.43860 10.063711
## 11950       0  8.340492 12.49641 10.199804
## 11952       0  8.522020 12.56565 10.337738
## 11954       0  8.708284 12.62582 10.477537
## 11956       0  8.897316 12.69166 10.619226
## 11958       0  9.089560 12.74577 10.762832
## 11960       0  9.286074 12.80889 10.908379
## 11962       0  9.482701 12.88412 11.055895
## 11964       0  9.688510 12.95809 11.205406
## 11966       0  9.898005 13.03710 11.356939
## 11968       0 10.093741 13.13322 11.510520
## 11970       0 10.295404 13.21189 11.666179
## 11972       0 10.487528 13.31396 11.823943
## 11974       0 10.688480 13.41519 11.983840
## 11976       0 10.884731 13.51431 12.145900
## 11978       0 11.084090 13.63597 12.310151
## 11980       0 11.273297 13.76852 12.476623
## 11982       0 11.452446 13.92574 12.645346
## 11984       0 11.639194 14.08734 12.816351
## 11986       0 11.802069 14.25588 12.989669
## 11988       0 11.954662 14.44565 13.165331
## 11990       0 12.095975 14.67114 13.343368
## 11992       0 12.245470 14.88313 13.523812
## 11994       0 12.384249 15.12745 13.706697
## 11996       0 12.510622 15.39267 13.892055
## 11998       0 12.617263 15.66209 14.079920
## 12000       0 12.729714 15.96001 14.270325
## 12002       0 12.830995 16.26985 14.463305
## 12004       0 12.933504 16.58753 14.658895
## 12006       0 13.029273 16.92409 14.857129
## 12008       0 13.106783 17.27215 15.058045
## 12010       0 13.188133 17.64512 15.261677
## 12012       0 13.263707 18.01622 15.468064
## 12014       0 13.353466 18.42843 15.677241
## 12016       0 13.432372 18.82567 15.889247
## 12018       0 13.513453 19.23936 16.104120
## 12020       0 13.582972 19.67060 16.321898
## 12022       0 13.633575 20.10565 16.542622
## 12024       0 13.688893 20.55819 16.766331
## 12026       0 13.756667 21.01867 16.993065
## 12028       0 13.814921 21.49962 17.222865
## 12030       0 13.889533 22.00975 17.455773
## 12032       0 13.954464 22.51002 17.691830
## 12034       0 14.012368 22.99509 17.931080
## 12036       0 14.071917 23.51784 18.173565
## 12038       0 11.884939 14.34782 13.081450
## 12040       0  7.278795 12.16782  9.410003
## 12042       0  7.442278 12.22654  9.537256
## 12044       0  7.616903 12.27506  9.666230
## 12046       0  7.794476 12.33184  9.796948
## 12048       0  7.968878 12.37636  9.929433
## 12050       0  8.156875 12.43860 10.063711
## 12052       0  8.340492 12.49641 10.199804
## 12054       0  8.522020 12.56565 10.337738
## 12056       0  8.708284 12.62582 10.477537
## 12058       0  8.897316 12.69166 10.619226
## 12060       0  9.089560 12.74577 10.762832
## 12062       0  9.286074 12.80889 10.908379
## 12064       0  9.482701 12.88412 11.055895
## 12066       0  9.688510 12.95809 11.205406
## 12068       0  9.898005 13.03710 11.356939
## 12070       0 10.093741 13.13322 11.510520
## 12072       0 10.295404 13.21189 11.666179
## 12074       0 10.487528 13.31396 11.823943
## 12076       0 10.688480 13.41519 11.983840
## 12078       0 10.884731 13.51431 12.145900
## 12080       0 11.084090 13.63597 12.310151
## 12082       0 11.273297 13.76852 12.476623
## 12084       0 11.452446 13.92574 12.645346
## 12086       0 11.639194 14.08734 12.816351
## 12088       0 11.802069 14.25588 12.989669
## 12090       0 11.954662 14.44565 13.165331
## 12092       0 12.095975 14.67114 13.343368
## 12094       0 12.245470 14.88313 13.523812
## 12096       0 12.384249 15.12745 13.706697
## 12098       0 12.510622 15.39267 13.892055
## 12100       0 12.617263 15.66209 14.079920
## 12102       0 12.729714 15.96001 14.270325
## 12104       0 12.830995 16.26985 14.463305
## 12106       0 12.933504 16.58753 14.658895
## 12108       0 13.029273 16.92409 14.857129
## 12110       0 13.106783 17.27215 15.058045
## 12112       0 13.188133 17.64512 15.261677
## 12114       0 13.263707 18.01622 15.468064
## 12116       0 13.353466 18.42843 15.677241
## 12118       0 13.432372 18.82567 15.889247
## 12120       0 13.513453 19.23936 16.104120
## 12122       0 13.582972 19.67060 16.321898
## 12124       0 13.633575 20.10565 16.542622
## 12126       0 13.688893 20.55819 16.766331
## 12128       0 13.756667 21.01867 16.993065
## 12130       0 13.814921 21.49962 17.222865
## 12132       0 13.889533 22.00975 17.455773
## 12134       0 13.954464 22.51002 17.691830
## 12136       0 14.012368 22.99509 17.931080
## 12138       0 14.071917 23.51784 18.173565
## 12140       0 11.884939 14.34782 13.081450
## 12142       0  7.278795 12.16782  9.410003
## 12144       0  7.442278 12.22654  9.537256
## 12146       0  7.616903 12.27506  9.666230
## 12148       0  7.794476 12.33184  9.796948
## 12150       0  7.968878 12.37636  9.929433
## 12152       0  8.156875 12.43860 10.063711
## 12154       0  8.340492 12.49641 10.199804
## 12156       0  8.522020 12.56565 10.337738
## 12158       0  8.708284 12.62582 10.477537
## 12160       0  8.897316 12.69166 10.619226
## 12162       0  9.089560 12.74577 10.762832
## 12164       0  9.286074 12.80889 10.908379
## 12166       0  9.482701 12.88412 11.055895
## 12168       0  9.688510 12.95809 11.205406
## 12170       0  9.898005 13.03710 11.356939
## 12172       0 10.093741 13.13322 11.510520
## 12174       0 10.295404 13.21189 11.666179
## 12176       0 10.487528 13.31396 11.823943
## 12178       0 10.688480 13.41519 11.983840
## 12180       0 10.884731 13.51431 12.145900
## 12182       0 11.084090 13.63597 12.310151
## 12184       0 11.273297 13.76852 12.476623
## 12186       0 11.452446 13.92574 12.645346
## 12188       0 11.639194 14.08734 12.816351
## 12190       0 11.802069 14.25588 12.989669
## 12192       0 11.954662 14.44565 13.165331
## 12194       0 12.095975 14.67114 13.343368
## 12196       0 12.245470 14.88313 13.523812
## 12198       0 12.384249 15.12745 13.706697
## 12200       0 12.510622 15.39267 13.892055
## 12202       0 12.617263 15.66209 14.079920
## 12204       0 12.729714 15.96001 14.270325
## 12206       0 12.830995 16.26985 14.463305
## 12208       0 12.933504 16.58753 14.658895
## 12210       0 13.029273 16.92409 14.857129
## 12212       0 13.106783 17.27215 15.058045
## 12214       0 13.188133 17.64512 15.261677
## 12216       0 13.263707 18.01622 15.468064
## 12218       0 13.353466 18.42843 15.677241
## 12220       0 13.432372 18.82567 15.889247
## 12222       0 13.513453 19.23936 16.104120
## 12224       0 13.582972 19.67060 16.321898
## 12226       0 13.633575 20.10565 16.542622
## 12228       0 13.688893 20.55819 16.766331
## 12230       0 13.756667 21.01867 16.993065
## 12232       0 13.814921 21.49962 17.222865
## 12234       0 13.889533 22.00975 17.455773
## 12236       0 13.954464 22.51002 17.691830
## 12238       0 14.012368 22.99509 17.931080
## 12240       0 14.071917 23.51784 18.173565
## 12242       0 11.884939 14.34782 13.081450
## 12244       0  7.278795 12.16782  9.410003
## 12246       0  7.442278 12.22654  9.537256
## 12248       0  7.616903 12.27506  9.666230
## 12250       0  7.794476 12.33184  9.796948
## 12252       0  7.968878 12.37636  9.929433
## 12254       0  8.156875 12.43860 10.063711
## 12256       0  8.340492 12.49641 10.199804
## 12258       0  8.522020 12.56565 10.337738
## 12260       0  8.708284 12.62582 10.477537
## 12262       0  8.897316 12.69166 10.619226
## 12264       0  9.089560 12.74577 10.762832
## 12266       0  9.286074 12.80889 10.908379
## 12268       0  9.482701 12.88412 11.055895
## 12270       0  9.688510 12.95809 11.205406
## 12272       0  9.898005 13.03710 11.356939
## 12274       0 10.093741 13.13322 11.510520
## 12276       0 10.295404 13.21189 11.666179
## 12278       0 10.487528 13.31396 11.823943
## 12280       0 10.688480 13.41519 11.983840
## 12282       0 10.884731 13.51431 12.145900
## 12284       0 11.084090 13.63597 12.310151
## 12286       0 11.273297 13.76852 12.476623
## 12288       0 11.452446 13.92574 12.645346
## 12290       0 11.639194 14.08734 12.816351
## 12292       0 11.802069 14.25588 12.989669
## 12294       0 11.954662 14.44565 13.165331
## 12296       0 12.095975 14.67114 13.343368
## 12298       0 12.245470 14.88313 13.523812
## 12300       0 12.384249 15.12745 13.706697
## 12302       0 12.510622 15.39267 13.892055
## 12304       0 12.617263 15.66209 14.079920
## 12306       0 12.729714 15.96001 14.270325
## 12308       0 12.830995 16.26985 14.463305
## 12310       0 12.933504 16.58753 14.658895
## 12312       0 13.029273 16.92409 14.857129
## 12314       0 13.106783 17.27215 15.058045
## 12316       0 13.188133 17.64512 15.261677
## 12318       0 13.263707 18.01622 15.468064
## 12320       0 13.353466 18.42843 15.677241
## 12322       0 13.432372 18.82567 15.889247
## 12324       0 13.513453 19.23936 16.104120
## 12326       0 13.582972 19.67060 16.321898
## 12328       0 13.633575 20.10565 16.542622
## 12330       0 13.688893 20.55819 16.766331
## 12332       0 13.756667 21.01867 16.993065
## 12334       0 13.814921 21.49962 17.222865
## 12336       0 13.889533 22.00975 17.455773
## 12338       0 13.954464 22.51002 17.691830
## 12340       0 14.012368 22.99509 17.931080
## 12342       0 14.071917 23.51784 18.173565
## 12344       0 11.884939 14.34782 13.081450
## 12346       0  7.278795 12.16782  9.410003
## 12348       0  7.442278 12.22654  9.537256
## 12350       0  7.616903 12.27506  9.666230
## 12352       0  7.794476 12.33184  9.796948
## 12354       0  7.968878 12.37636  9.929433
## 12356       0  8.156875 12.43860 10.063711
## 12358       0  8.340492 12.49641 10.199804
## 12360       0  8.522020 12.56565 10.337738
## 12362       0  8.708284 12.62582 10.477537
## 12364       0  8.897316 12.69166 10.619226
## 12366       0  9.089560 12.74577 10.762832
## 12368       0  9.286074 12.80889 10.908379
## 12370       0  9.482701 12.88412 11.055895
## 12372       0  9.688510 12.95809 11.205406
## 12374       0  9.898005 13.03710 11.356939
## 12376       0 10.093741 13.13322 11.510520
## 12378       0 10.295404 13.21189 11.666179
## 12380       0 10.487528 13.31396 11.823943
## 12382       0 10.688480 13.41519 11.983840
## 12384       0 10.884731 13.51431 12.145900
## 12386       0 11.084090 13.63597 12.310151
## 12388       0 11.273297 13.76852 12.476623
## 12390       0 11.452446 13.92574 12.645346
## 12392       0 11.639194 14.08734 12.816351
## 12394       0 11.802069 14.25588 12.989669
## 12396       0 11.954662 14.44565 13.165331
## 12398       0 12.095975 14.67114 13.343368
## 12400       0 12.245470 14.88313 13.523812
## 12402       0 12.384249 15.12745 13.706697
## 12404       0 12.510622 15.39267 13.892055
## 12406       0 12.617263 15.66209 14.079920
## 12408       0 12.729714 15.96001 14.270325
## 12410       0 12.830995 16.26985 14.463305
## 12412       0 12.933504 16.58753 14.658895
## 12414       0 13.029273 16.92409 14.857129
## 12416       0 13.106783 17.27215 15.058045
## 12418       0 13.188133 17.64512 15.261677
## 12420       0 13.263707 18.01622 15.468064
## 12422       0 13.353466 18.42843 15.677241
## 12424       0 13.432372 18.82567 15.889247
## 12426       0 13.513453 19.23936 16.104120
## 12428       0 13.582972 19.67060 16.321898
## 12430       0 13.633575 20.10565 16.542622
## 12432       0 13.688893 20.55819 16.766331
## 12434       0 13.756667 21.01867 16.993065
## 12436       0 13.814921 21.49962 17.222865
## 12438       0 13.889533 22.00975 17.455773
## 12440       0 13.954464 22.51002 17.691830
## 12442       0 14.012368 22.99509 17.931080
## 12444       0 14.071917 23.51784 18.173565
## 12446       0 11.884939 14.34782 13.081450
## 12448       0  7.278795 12.16782  9.410003
## 12450       0  7.442278 12.22654  9.537256
## 12452       0  7.616903 12.27506  9.666230
## 12454       0  7.794476 12.33184  9.796948
## 12456       0  7.968878 12.37636  9.929433
## 12458       0  8.156875 12.43860 10.063711
## 12460       0  8.340492 12.49641 10.199804
## 12462       0  8.522020 12.56565 10.337738
## 12464       0  8.708284 12.62582 10.477537
## 12466       0  8.897316 12.69166 10.619226
## 12468       0  9.089560 12.74577 10.762832
## 12470       0  9.286074 12.80889 10.908379
## 12472       0  9.482701 12.88412 11.055895
## 12474       0  9.688510 12.95809 11.205406
## 12476       0  9.898005 13.03710 11.356939
## 12478       0 10.093741 13.13322 11.510520
## 12480       0 10.295404 13.21189 11.666179
## 12482       0 10.487528 13.31396 11.823943
## 12484       0 10.688480 13.41519 11.983840
## 12486       0 10.884731 13.51431 12.145900
## 12488       0 11.084090 13.63597 12.310151
## 12490       0 11.273297 13.76852 12.476623
## 12492       0 11.452446 13.92574 12.645346
## 12494       0 11.639194 14.08734 12.816351
## 12496       0 11.802069 14.25588 12.989669
## 12498       0 11.954662 14.44565 13.165331
## 12500       0 12.095975 14.67114 13.343368
## 12502       0 12.245470 14.88313 13.523812
## 12504       0 12.384249 15.12745 13.706697
## 12506       0 12.510622 15.39267 13.892055
## 12508       0 12.617263 15.66209 14.079920
## 12510       0 12.729714 15.96001 14.270325
## 12512       0 12.830995 16.26985 14.463305
## 12514       0 12.933504 16.58753 14.658895
## 12516       0 13.029273 16.92409 14.857129
## 12518       0 13.106783 17.27215 15.058045
## 12520       0 13.188133 17.64512 15.261677
## 12522       0 13.263707 18.01622 15.468064
## 12524       0 13.353466 18.42843 15.677241
## 12526       0 13.432372 18.82567 15.889247
## 12528       0 13.513453 19.23936 16.104120
## 12530       0 13.582972 19.67060 16.321898
## 12532       0 13.633575 20.10565 16.542622
## 12534       0 13.688893 20.55819 16.766331
## 12536       0 13.756667 21.01867 16.993065
## 12538       0 13.814921 21.49962 17.222865
## 12540       0 13.889533 22.00975 17.455773
## 12542       0 13.954464 22.51002 17.691830
## 12544       0 14.012368 22.99509 17.931080
## 12546       0 14.071917 23.51784 18.173565
## 12548       0 11.884939 14.34782 13.081450
## 12550       0  7.278795 12.16782  9.410003
## 12552       0  7.442278 12.22654  9.537256
## 12554       0  7.616903 12.27506  9.666230
## 12556       0  7.794476 12.33184  9.796948
## 12558       0  7.968878 12.37636  9.929433
## 12560       0  8.156875 12.43860 10.063711
## 12562       0  8.340492 12.49641 10.199804
## 12564       0  8.522020 12.56565 10.337738
## 12566       0  8.708284 12.62582 10.477537
## 12568       0  8.897316 12.69166 10.619226
## 12570       0  9.089560 12.74577 10.762832
## 12572       0  9.286074 12.80889 10.908379
## 12574       0  9.482701 12.88412 11.055895
## 12576       0  9.688510 12.95809 11.205406
## 12578       0  9.898005 13.03710 11.356939
## 12580       0 10.093741 13.13322 11.510520
## 12582       0 10.295404 13.21189 11.666179
## 12584       0 10.487528 13.31396 11.823943
## 12586       0 10.688480 13.41519 11.983840
## 12588       0 10.884731 13.51431 12.145900
## 12590       0 11.084090 13.63597 12.310151
## 12592       0 11.273297 13.76852 12.476623
## 12594       0 11.452446 13.92574 12.645346
## 12596       0 11.639194 14.08734 12.816351
## 12598       0 11.802069 14.25588 12.989669
## 12600       0 11.954662 14.44565 13.165331
## 12602       0 12.095975 14.67114 13.343368
## 12604       0 12.245470 14.88313 13.523812
## 12606       0 12.384249 15.12745 13.706697
## 12608       0 12.510622 15.39267 13.892055
## 12610       0 12.617263 15.66209 14.079920
## 12612       0 12.729714 15.96001 14.270325
## 12614       0 12.830995 16.26985 14.463305
## 12616       0 12.933504 16.58753 14.658895
## 12618       0 13.029273 16.92409 14.857129
## 12620       0 13.106783 17.27215 15.058045
## 12622       0 13.188133 17.64512 15.261677
## 12624       0 13.263707 18.01622 15.468064
## 12626       0 13.353466 18.42843 15.677241
## 12628       0 13.432372 18.82567 15.889247
## 12630       0 13.513453 19.23936 16.104120
## 12632       0 13.582972 19.67060 16.321898
## 12634       0 13.633575 20.10565 16.542622
## 12636       0 13.688893 20.55819 16.766331
## 12638       0 13.756667 21.01867 16.993065
## 12640       0 13.814921 21.49962 17.222865
## 12642       0 13.889533 22.00975 17.455773
## 12644       0 13.954464 22.51002 17.691830
## 12646       0 14.012368 22.99509 17.931080
## 12648       0 14.071917 23.51784 18.173565
## 12650       0 11.884939 14.34782 13.081450
## 12652       0  7.278795 12.16782  9.410003
## 12654       0  7.442278 12.22654  9.537256
## 12656       0  7.616903 12.27506  9.666230
## 12658       0  7.794476 12.33184  9.796948
## 12660       0  7.968878 12.37636  9.929433
## 12662       0  8.156875 12.43860 10.063711
## 12664       0  8.340492 12.49641 10.199804
## 12666       0  8.522020 12.56565 10.337738
## 12668       0  8.708284 12.62582 10.477537
## 12670       0  8.897316 12.69166 10.619226
## 12672       0  9.089560 12.74577 10.762832
## 12674       0  9.286074 12.80889 10.908379
## 12676       0  9.482701 12.88412 11.055895
## 12678       0  9.688510 12.95809 11.205406
## 12680       0  9.898005 13.03710 11.356939
## 12682       0 10.093741 13.13322 11.510520
## 12684       0 10.295404 13.21189 11.666179
## 12686       0 10.487528 13.31396 11.823943
## 12688       0 10.688480 13.41519 11.983840
## 12690       0 10.884731 13.51431 12.145900
## 12692       0 11.084090 13.63597 12.310151
## 12694       0 11.273297 13.76852 12.476623
## 12696       0 11.452446 13.92574 12.645346
## 12698       0 11.639194 14.08734 12.816351
## 12700       0 11.802069 14.25588 12.989669
## 12702       0 11.954662 14.44565 13.165331
## 12704       0 12.095975 14.67114 13.343368
## 12706       0 12.245470 14.88313 13.523812
## 12708       0 12.384249 15.12745 13.706697
## 12710       0 12.510622 15.39267 13.892055
## 12712       0 12.617263 15.66209 14.079920
## 12714       0 12.729714 15.96001 14.270325
## 12716       0 12.830995 16.26985 14.463305
## 12718       0 12.933504 16.58753 14.658895
## 12720       0 13.029273 16.92409 14.857129
## 12722       0 13.106783 17.27215 15.058045
## 12724       0 13.188133 17.64512 15.261677
## 12726       0 13.263707 18.01622 15.468064
## 12728       0 13.353466 18.42843 15.677241
## 12730       0 13.432372 18.82567 15.889247
## 12732       0 13.513453 19.23936 16.104120
## 12734       0 13.582972 19.67060 16.321898
## 12736       0 13.633575 20.10565 16.542622
## 12738       0 13.688893 20.55819 16.766331
## 12740       0 13.756667 21.01867 16.993065
## 12742       0 13.814921 21.49962 17.222865
## 12744       0 13.889533 22.00975 17.455773
## 12746       0 13.954464 22.51002 17.691830
## 12748       0 14.012368 22.99509 17.931080
## 12750       0 14.071917 23.51784 18.173565
## 12752       0 11.884939 14.34782 13.081450
## 12754       0  7.278795 12.16782  9.410003
## 12756       0  7.442278 12.22654  9.537256
## 12758       0  7.616903 12.27506  9.666230
## 12760       0  7.794476 12.33184  9.796948
## 12762       0  7.968878 12.37636  9.929433
## 12764       0  8.156875 12.43860 10.063711
## 12766       0  8.340492 12.49641 10.199804
## 12768       0  8.522020 12.56565 10.337738
## 12770       0  8.708284 12.62582 10.477537
## 12772       0  8.897316 12.69166 10.619226
## 12774       0  9.089560 12.74577 10.762832
## 12776       0  9.286074 12.80889 10.908379
## 12778       0  9.482701 12.88412 11.055895
## 12780       0  9.688510 12.95809 11.205406
## 12782       0  9.898005 13.03710 11.356939
## 12784       0 10.093741 13.13322 11.510520
## 12786       0 10.295404 13.21189 11.666179
## 12788       0 10.487528 13.31396 11.823943
## 12790       0 10.688480 13.41519 11.983840
## 12792       0 10.884731 13.51431 12.145900
## 12794       0 11.084090 13.63597 12.310151
## 12796       0 11.273297 13.76852 12.476623
## 12798       0 11.452446 13.92574 12.645346
## 12800       0 11.639194 14.08734 12.816351
## 12802       0 11.802069 14.25588 12.989669
## 12804       0 11.954662 14.44565 13.165331
## 12806       0 12.095975 14.67114 13.343368
## 12808       0 12.245470 14.88313 13.523812
## 12810       0 12.384249 15.12745 13.706697
## 12812       0 12.510622 15.39267 13.892055
## 12814       0 12.617263 15.66209 14.079920
## 12816       0 12.729714 15.96001 14.270325
## 12818       0 12.830995 16.26985 14.463305
## 12820       0 12.933504 16.58753 14.658895
## 12822       0 13.029273 16.92409 14.857129
## 12824       0 13.106783 17.27215 15.058045
## 12826       0 13.188133 17.64512 15.261677
## 12828       0 13.263707 18.01622 15.468064
## 12830       0 13.353466 18.42843 15.677241
## 12832       0 13.432372 18.82567 15.889247
## 12834       0 13.513453 19.23936 16.104120
## 12836       0 13.582972 19.67060 16.321898
## 12838       0 13.633575 20.10565 16.542622
## 12840       0 13.688893 20.55819 16.766331
## 12842       0 13.756667 21.01867 16.993065
## 12844       0 13.814921 21.49962 17.222865
## 12846       0 13.889533 22.00975 17.455773
## 12848       0 13.954464 22.51002 17.691830
## 12850       0 14.012368 22.99509 17.931080
## 12852       0 14.071917 23.51784 18.173565
## 12854       0 11.884939 14.34782 13.081450
## 12856       0  7.278795 12.16782  9.410003
## 12858       0  7.442278 12.22654  9.537256
## 12860       0  7.616903 12.27506  9.666230
## 12862       0  7.794476 12.33184  9.796948
## 12864       0  7.968878 12.37636  9.929433
## 12866       0  8.156875 12.43860 10.063711
## 12868       0  8.340492 12.49641 10.199804
## 12870       0  8.522020 12.56565 10.337738
## 12872       0  8.708284 12.62582 10.477537
## 12874       0  8.897316 12.69166 10.619226
## 12876       0  9.089560 12.74577 10.762832
## 12878       0  9.286074 12.80889 10.908379
## 12880       0  9.482701 12.88412 11.055895
## 12882       0  9.688510 12.95809 11.205406
## 12884       0  9.898005 13.03710 11.356939
## 12886       0 10.093741 13.13322 11.510520
## 12888       0 10.295404 13.21189 11.666179
## 12890       0 10.487528 13.31396 11.823943
## 12892       0 10.688480 13.41519 11.983840
## 12894       0 10.884731 13.51431 12.145900
## 12896       0 11.084090 13.63597 12.310151
## 12898       0 11.273297 13.76852 12.476623
## 12900       0 11.452446 13.92574 12.645346
## 12902       0 11.639194 14.08734 12.816351
## 12904       0 11.802069 14.25588 12.989669
## 12906       0 11.954662 14.44565 13.165331
## 12908       0 12.095975 14.67114 13.343368
## 12910       0 12.245470 14.88313 13.523812
## 12912       0 12.384249 15.12745 13.706697
## 12914       0 12.510622 15.39267 13.892055
## 12916       0 12.617263 15.66209 14.079920
## 12918       0 12.729714 15.96001 14.270325
## 12920       0 12.830995 16.26985 14.463305
## 12922       0 12.933504 16.58753 14.658895
## 12924       0 13.029273 16.92409 14.857129
## 12926       0 13.106783 17.27215 15.058045
## 12928       0 13.188133 17.64512 15.261677
## 12930       0 13.263707 18.01622 15.468064
## 12932       0 13.353466 18.42843 15.677241
## 12934       0 13.432372 18.82567 15.889247
## 12936       0 13.513453 19.23936 16.104120
## 12938       0 13.582972 19.67060 16.321898
## 12940       0 13.633575 20.10565 16.542622
## 12942       0 13.688893 20.55819 16.766331
## 12944       0 13.756667 21.01867 16.993065
## 12946       0 13.814921 21.49962 17.222865
## 12948       0 13.889533 22.00975 17.455773
## 12950       0 13.954464 22.51002 17.691830
## 12952       0 14.012368 22.99509 17.931080
## 12954       0 14.071917 23.51784 18.173565
## 12956       0 11.884939 14.34782 13.081450
## 12958       0  7.278795 12.16782  9.410003
## 12960       0  7.442278 12.22654  9.537256
## 12962       0  7.616903 12.27506  9.666230
## 12964       0  7.794476 12.33184  9.796948
## 12966       0  7.968878 12.37636  9.929433
## 12968       0  8.156875 12.43860 10.063711
## 12970       0  8.340492 12.49641 10.199804
## 12972       0  8.522020 12.56565 10.337738
## 12974       0  8.708284 12.62582 10.477537
## 12976       0  8.897316 12.69166 10.619226
## 12978       0  9.089560 12.74577 10.762832
## 12980       0  9.286074 12.80889 10.908379
## 12982       0  9.482701 12.88412 11.055895
## 12984       0  9.688510 12.95809 11.205406
## 12986       0  9.898005 13.03710 11.356939
## 12988       0 10.093741 13.13322 11.510520
## 12990       0 10.295404 13.21189 11.666179
## 12992       0 10.487528 13.31396 11.823943
## 12994       0 10.688480 13.41519 11.983840
## 12996       0 10.884731 13.51431 12.145900
## 12998       0 11.084090 13.63597 12.310151
## 13000       0 11.273297 13.76852 12.476623
## 13002       0 11.452446 13.92574 12.645346
## 13004       0 11.639194 14.08734 12.816351
## 13006       0 11.802069 14.25588 12.989669
## 13008       0 11.954662 14.44565 13.165331
## 13010       0 12.095975 14.67114 13.343368
## 13012       0 12.245470 14.88313 13.523812
## 13014       0 12.384249 15.12745 13.706697
## 13016       0 12.510622 15.39267 13.892055
## 13018       0 12.617263 15.66209 14.079920
## 13020       0 12.729714 15.96001 14.270325
## 13022       0 12.830995 16.26985 14.463305
## 13024       0 12.933504 16.58753 14.658895
## 13026       0 13.029273 16.92409 14.857129
## 13028       0 13.106783 17.27215 15.058045
## 13030       0 13.188133 17.64512 15.261677
## 13032       0 13.263707 18.01622 15.468064
## 13034       0 13.353466 18.42843 15.677241
## 13036       0 13.432372 18.82567 15.889247
## 13038       0 13.513453 19.23936 16.104120
## 13040       0 13.582972 19.67060 16.321898
## 13042       0 13.633575 20.10565 16.542622
## 13044       0 13.688893 20.55819 16.766331
## 13046       0 13.756667 21.01867 16.993065
## 13048       0 13.814921 21.49962 17.222865
## 13050       0 13.889533 22.00975 17.455773
## 13052       0 13.954464 22.51002 17.691830
## 13054       0 14.012368 22.99509 17.931080
## 13056       0 14.071917 23.51784 18.173565
## 13058       0 11.884939 14.34782 13.081450
## 13060       0  7.278795 12.16782  9.410003
## 13062       0  7.442278 12.22654  9.537256
## 13064       0  7.616903 12.27506  9.666230
## 13066       0  7.794476 12.33184  9.796948
## 13068       0  7.968878 12.37636  9.929433
## 13070       0  8.156875 12.43860 10.063711
## 13072       0  8.340492 12.49641 10.199804
## 13074       0  8.522020 12.56565 10.337738
## 13076       0  8.708284 12.62582 10.477537
## 13078       0  8.897316 12.69166 10.619226
## 13080       0  9.089560 12.74577 10.762832
## 13082       0  9.286074 12.80889 10.908379
## 13084       0  9.482701 12.88412 11.055895
## 13086       0  9.688510 12.95809 11.205406
## 13088       0  9.898005 13.03710 11.356939
## 13090       0 10.093741 13.13322 11.510520
## 13092       0 10.295404 13.21189 11.666179
## 13094       0 10.487528 13.31396 11.823943
## 13096       0 10.688480 13.41519 11.983840
## 13098       0 10.884731 13.51431 12.145900
## 13100       0 11.084090 13.63597 12.310151
## 13102       0 11.273297 13.76852 12.476623
## 13104       0 11.452446 13.92574 12.645346
## 13106       0 11.639194 14.08734 12.816351
## 13108       0 11.802069 14.25588 12.989669
## 13110       0 11.954662 14.44565 13.165331
## 13112       0 12.095975 14.67114 13.343368
## 13114       0 12.245470 14.88313 13.523812
## 13116       0 12.384249 15.12745 13.706697
## 13118       0 12.510622 15.39267 13.892055
## 13120       0 12.617263 15.66209 14.079920
## 13122       0 12.729714 15.96001 14.270325
## 13124       0 12.830995 16.26985 14.463305
## 13126       0 12.933504 16.58753 14.658895
## 13128       0 13.029273 16.92409 14.857129
## 13130       0 13.106783 17.27215 15.058045
## 13132       0 13.188133 17.64512 15.261677
## 13134       0 13.263707 18.01622 15.468064
## 13136       0 13.353466 18.42843 15.677241
## 13138       0 13.432372 18.82567 15.889247
## 13140       0 13.513453 19.23936 16.104120
## 13142       0 13.582972 19.67060 16.321898
## 13144       0 13.633575 20.10565 16.542622
## 13146       0 13.688893 20.55819 16.766331
## 13148       0 13.756667 21.01867 16.993065
## 13150       0 13.814921 21.49962 17.222865
## 13152       0 13.889533 22.00975 17.455773
## 13154       0 13.954464 22.51002 17.691830
## 13156       0 14.012368 22.99509 17.931080
## 13158       0 14.071917 23.51784 18.173565
## 13160       0 11.884939 14.34782 13.081450
## 13162       0  7.278795 12.16782  9.410003
## 13164       0  7.442278 12.22654  9.537256
## 13166       0  7.616903 12.27506  9.666230
## 13168       0  7.794476 12.33184  9.796948
## 13170       0  7.968878 12.37636  9.929433
## 13172       0  8.156875 12.43860 10.063711
## 13174       0  8.340492 12.49641 10.199804
## 13176       0  8.522020 12.56565 10.337738
## 13178       0  8.708284 12.62582 10.477537
## 13180       0  8.897316 12.69166 10.619226
## 13182       0  9.089560 12.74577 10.762832
## 13184       0  9.286074 12.80889 10.908379
## 13186       0  9.482701 12.88412 11.055895
## 13188       0  9.688510 12.95809 11.205406
## 13190       0  9.898005 13.03710 11.356939
## 13192       0 10.093741 13.13322 11.510520
## 13194       0 10.295404 13.21189 11.666179
## 13196       0 10.487528 13.31396 11.823943
## 13198       0 10.688480 13.41519 11.983840
## 13200       0 10.884731 13.51431 12.145900
## 13202       0 11.084090 13.63597 12.310151
## 13204       0 11.273297 13.76852 12.476623
## 13206       0 11.452446 13.92574 12.645346
## 13208       0 11.639194 14.08734 12.816351
## 13210       0 11.802069 14.25588 12.989669
## 13212       0 11.954662 14.44565 13.165331
## 13214       0 12.095975 14.67114 13.343368
## 13216       0 12.245470 14.88313 13.523812
## 13218       0 12.384249 15.12745 13.706697
## 13220       0 12.510622 15.39267 13.892055
## 13222       0 12.617263 15.66209 14.079920
## 13224       0 12.729714 15.96001 14.270325
## 13226       0 12.830995 16.26985 14.463305
## 13228       0 12.933504 16.58753 14.658895
## 13230       0 13.029273 16.92409 14.857129
## 13232       0 13.106783 17.27215 15.058045
## 13234       0 13.188133 17.64512 15.261677
## 13236       0 13.263707 18.01622 15.468064
## 13238       0 13.353466 18.42843 15.677241
## 13240       0 13.432372 18.82567 15.889247
## 13242       0 13.513453 19.23936 16.104120
## 13244       0 13.582972 19.67060 16.321898
## 13246       0 13.633575 20.10565 16.542622
## 13248       0 13.688893 20.55819 16.766331
## 13250       0 13.756667 21.01867 16.993065
## 13252       0 13.814921 21.49962 17.222865
## 13254       0 13.889533 22.00975 17.455773
## 13256       0 13.954464 22.51002 17.691830
## 13258       0 14.012368 22.99509 17.931080
## 13260       0 14.071917 23.51784 18.173565
## 13262       0 11.884939 14.34782 13.081450
## 13264       0  7.278795 12.16782  9.410003
## 13266       0  7.442278 12.22654  9.537256
## 13268       0  7.616903 12.27506  9.666230
## 13270       0  7.794476 12.33184  9.796948
## 13272       0  7.968878 12.37636  9.929433
## 13274       0  8.156875 12.43860 10.063711
## 13276       0  8.340492 12.49641 10.199804
## 13278       0  8.522020 12.56565 10.337738
## 13280       0  8.708284 12.62582 10.477537
## 13282       0  8.897316 12.69166 10.619226
## 13284       0  9.089560 12.74577 10.762832
## 13286       0  9.286074 12.80889 10.908379
## 13288       0  9.482701 12.88412 11.055895
## 13290       0  9.688510 12.95809 11.205406
## 13292       0  9.898005 13.03710 11.356939
## 13294       0 10.093741 13.13322 11.510520
## 13296       0 10.295404 13.21189 11.666179
## 13298       0 10.487528 13.31396 11.823943
## 13300       0 10.688480 13.41519 11.983840
## 13302       0 10.884731 13.51431 12.145900
## 13304       0 11.084090 13.63597 12.310151
## 13306       0 11.273297 13.76852 12.476623
## 13308       0 11.452446 13.92574 12.645346
## 13310       0 11.639194 14.08734 12.816351
## 13312       0 11.802069 14.25588 12.989669
## 13314       0 11.954662 14.44565 13.165331
## 13316       0 12.095975 14.67114 13.343368
## 13318       0 12.245470 14.88313 13.523812
## 13320       0 12.384249 15.12745 13.706697
## 13322       0 12.510622 15.39267 13.892055
## 13324       0 12.617263 15.66209 14.079920
## 13326       0 12.729714 15.96001 14.270325
## 13328       0 12.830995 16.26985 14.463305
## 13330       0 12.933504 16.58753 14.658895
## 13332       0 13.029273 16.92409 14.857129
## 13334       0 13.106783 17.27215 15.058045
## 13336       0 13.188133 17.64512 15.261677
## 13338       0 13.263707 18.01622 15.468064
## 13340       0 13.353466 18.42843 15.677241
## 13342       0 13.432372 18.82567 15.889247
## 13344       0 13.513453 19.23936 16.104120
## 13346       0 13.582972 19.67060 16.321898
## 13348       0 13.633575 20.10565 16.542622
## 13350       0 13.688893 20.55819 16.766331
## 13352       0 13.756667 21.01867 16.993065
## 13354       0 13.814921 21.49962 17.222865
## 13356       0 13.889533 22.00975 17.455773
## 13358       0 13.954464 22.51002 17.691830
## 13360       0 14.012368 22.99509 17.931080
## 13362       0 14.071917 23.51784 18.173565
## 13364       0 11.884939 14.34782 13.081450
## 13366       0  7.278795 12.16782  9.410003
## 13368       0  7.442278 12.22654  9.537256
## 13370       0  7.616903 12.27506  9.666230
## 13372       0  7.794476 12.33184  9.796948
## 13374       0  7.968878 12.37636  9.929433
## 13376       0  8.156875 12.43860 10.063711
## 13378       0  8.340492 12.49641 10.199804
## 13380       0  8.522020 12.56565 10.337738
## 13382       0  8.708284 12.62582 10.477537
## 13384       0  8.897316 12.69166 10.619226
## 13386       0  9.089560 12.74577 10.762832
## 13388       0  9.286074 12.80889 10.908379
## 13390       0  9.482701 12.88412 11.055895
## 13392       0  9.688510 12.95809 11.205406
## 13394       0  9.898005 13.03710 11.356939
## 13396       0 10.093741 13.13322 11.510520
## 13398       0 10.295404 13.21189 11.666179
## 13400       0 10.487528 13.31396 11.823943
## 13402       0 10.688480 13.41519 11.983840
## 13404       0 10.884731 13.51431 12.145900
## 13406       0 11.084090 13.63597 12.310151
## 13408       0 11.273297 13.76852 12.476623
## 13410       0 11.452446 13.92574 12.645346
## 13412       0 11.639194 14.08734 12.816351
## 13414       0 11.802069 14.25588 12.989669
## 13416       0 11.954662 14.44565 13.165331
## 13418       0 12.095975 14.67114 13.343368
## 13420       0 12.245470 14.88313 13.523812
## 13422       0 12.384249 15.12745 13.706697
## 13424       0 12.510622 15.39267 13.892055
## 13426       0 12.617263 15.66209 14.079920
## 13428       0 12.729714 15.96001 14.270325
## 13430       0 12.830995 16.26985 14.463305
## 13432       0 12.933504 16.58753 14.658895
## 13434       0 13.029273 16.92409 14.857129
## 13436       0 13.106783 17.27215 15.058045
## 13438       0 13.188133 17.64512 15.261677
## 13440       0 13.263707 18.01622 15.468064
## 13442       0 13.353466 18.42843 15.677241
## 13444       0 13.432372 18.82567 15.889247
## 13446       0 13.513453 19.23936 16.104120
## 13448       0 13.582972 19.67060 16.321898
## 13450       0 13.633575 20.10565 16.542622
## 13452       0 13.688893 20.55819 16.766331
## 13454       0 13.756667 21.01867 16.993065
## 13456       0 13.814921 21.49962 17.222865
## 13458       0 13.889533 22.00975 17.455773
## 13460       0 13.954464 22.51002 17.691830
## 13462       0 14.012368 22.99509 17.931080
## 13464       0 14.071917 23.51784 18.173565
## 13466       0 11.884939 14.34782 13.081450
## 13468       0  7.278795 12.16782  9.410003
## 13470       0  7.442278 12.22654  9.537256
## 13472       0  7.616903 12.27506  9.666230
## 13474       0  7.794476 12.33184  9.796948
## 13476       0  7.968878 12.37636  9.929433
## 13478       0  8.156875 12.43860 10.063711
## 13480       0  8.340492 12.49641 10.199804
## 13482       0  8.522020 12.56565 10.337738
## 13484       0  8.708284 12.62582 10.477537
## 13486       0  8.897316 12.69166 10.619226
## 13488       0  9.089560 12.74577 10.762832
## 13490       0  9.286074 12.80889 10.908379
## 13492       0  9.482701 12.88412 11.055895
## 13494       0  9.688510 12.95809 11.205406
## 13496       0  9.898005 13.03710 11.356939
## 13498       0 10.093741 13.13322 11.510520
## 13500       0 10.295404 13.21189 11.666179
## 13502       0 10.487528 13.31396 11.823943
## 13504       0 10.688480 13.41519 11.983840
## 13506       0 10.884731 13.51431 12.145900
## 13508       0 11.084090 13.63597 12.310151
## 13510       0 11.273297 13.76852 12.476623
## 13512       0 11.452446 13.92574 12.645346
## 13514       0 11.639194 14.08734 12.816351
## 13516       0 11.802069 14.25588 12.989669
## 13518       0 11.954662 14.44565 13.165331
## 13520       0 12.095975 14.67114 13.343368
## 13522       0 12.245470 14.88313 13.523812
## 13524       0 12.384249 15.12745 13.706697
## 13526       0 12.510622 15.39267 13.892055
## 13528       0 12.617263 15.66209 14.079920
## 13530       0 12.729714 15.96001 14.270325
## 13532       0 12.830995 16.26985 14.463305
## 13534       0 12.933504 16.58753 14.658895
## 13536       0 13.029273 16.92409 14.857129
## 13538       0 13.106783 17.27215 15.058045
## 13540       0 13.188133 17.64512 15.261677
## 13542       0 13.263707 18.01622 15.468064
## 13544       0 13.353466 18.42843 15.677241
## 13546       0 13.432372 18.82567 15.889247
## 13548       0 13.513453 19.23936 16.104120
## 13550       0 13.582972 19.67060 16.321898
## 13552       0 13.633575 20.10565 16.542622
## 13554       0 13.688893 20.55819 16.766331
## 13556       0 13.756667 21.01867 16.993065
## 13558       0 13.814921 21.49962 17.222865
## 13560       0 13.889533 22.00975 17.455773
## 13562       0 13.954464 22.51002 17.691830
## 13564       0 14.012368 22.99509 17.931080
## 13566       0 14.071917 23.51784 18.173565
## 13568       0 11.884939 14.34782 13.081450
## 13570       0  7.278795 12.16782  9.410003
## 13572       0  7.442278 12.22654  9.537256
## 13574       0  7.616903 12.27506  9.666230
## 13576       0  7.794476 12.33184  9.796948
## 13578       0  7.968878 12.37636  9.929433
## 13580       0  8.156875 12.43860 10.063711
## 13582       0  8.340492 12.49641 10.199804
## 13584       0  8.522020 12.56565 10.337738
## 13586       0  8.708284 12.62582 10.477537
## 13588       0  8.897316 12.69166 10.619226
## 13590       0  9.089560 12.74577 10.762832
## 13592       0  9.286074 12.80889 10.908379
## 13594       0  9.482701 12.88412 11.055895
## 13596       0  9.688510 12.95809 11.205406
## 13598       0  9.898005 13.03710 11.356939
## 13600       0 10.093741 13.13322 11.510520
## 13602       0 10.295404 13.21189 11.666179
## 13604       0 10.487528 13.31396 11.823943
## 13606       0 10.688480 13.41519 11.983840
## 13608       0 10.884731 13.51431 12.145900
## 13610       0 11.084090 13.63597 12.310151
## 13612       0 11.273297 13.76852 12.476623
## 13614       0 11.452446 13.92574 12.645346
## 13616       0 11.639194 14.08734 12.816351
## 13618       0 11.802069 14.25588 12.989669
## 13620       0 11.954662 14.44565 13.165331
## 13622       0 12.095975 14.67114 13.343368
## 13624       0 12.245470 14.88313 13.523812
## 13626       0 12.384249 15.12745 13.706697
## 13628       0 12.510622 15.39267 13.892055
## 13630       0 12.617263 15.66209 14.079920
## 13632       0 12.729714 15.96001 14.270325
## 13634       0 12.830995 16.26985 14.463305
## 13636       0 12.933504 16.58753 14.658895
## 13638       0 13.029273 16.92409 14.857129
## 13640       0 13.106783 17.27215 15.058045
## 13642       0 13.188133 17.64512 15.261677
## 13644       0 13.263707 18.01622 15.468064
## 13646       0 13.353466 18.42843 15.677241
## 13648       0 13.432372 18.82567 15.889247
## 13650       0 13.513453 19.23936 16.104120
## 13652       0 13.582972 19.67060 16.321898
## 13654       0 13.633575 20.10565 16.542622
## 13656       0 13.688893 20.55819 16.766331
## 13658       0 13.756667 21.01867 16.993065
## 13660       0 13.814921 21.49962 17.222865
## 13662       0 13.889533 22.00975 17.455773
## 13664       0 13.954464 22.51002 17.691830
## 13666       0 14.012368 22.99509 17.931080
## 13668       0 14.071917 23.51784 18.173565
## 13670       0 11.884939 14.34782 13.081450
## 13672       0  7.278795 12.16782  9.410003
## 13674       0  7.442278 12.22654  9.537256
## 13676       0  7.616903 12.27506  9.666230
## 13678       0  7.794476 12.33184  9.796948
## 13680       0  7.968878 12.37636  9.929433
## 13682       0  8.156875 12.43860 10.063711
## 13684       0  8.340492 12.49641 10.199804
## 13686       0  8.522020 12.56565 10.337738
## 13688       0  8.708284 12.62582 10.477537
## 13690       0  8.897316 12.69166 10.619226
## 13692       0  9.089560 12.74577 10.762832
## 13694       0  9.286074 12.80889 10.908379
## 13696       0  9.482701 12.88412 11.055895
## 13698       0  9.688510 12.95809 11.205406
## 13700       0  9.898005 13.03710 11.356939
## 13702       0 10.093741 13.13322 11.510520
## 13704       0 10.295404 13.21189 11.666179
## 13706       0 10.487528 13.31396 11.823943
## 13708       0 10.688480 13.41519 11.983840
## 13710       0 10.884731 13.51431 12.145900
## 13712       0 11.084090 13.63597 12.310151
## 13714       0 11.273297 13.76852 12.476623
## 13716       0 11.452446 13.92574 12.645346
## 13718       0 11.639194 14.08734 12.816351
## 13720       0 11.802069 14.25588 12.989669
## 13722       0 11.954662 14.44565 13.165331
## 13724       0 12.095975 14.67114 13.343368
## 13726       0 12.245470 14.88313 13.523812
## 13728       0 12.384249 15.12745 13.706697
## 13730       0 12.510622 15.39267 13.892055
## 13732       0 12.617263 15.66209 14.079920
## 13734       0 12.729714 15.96001 14.270325
## 13736       0 12.830995 16.26985 14.463305
## 13738       0 12.933504 16.58753 14.658895
## 13740       0 13.029273 16.92409 14.857129
## 13742       0 13.106783 17.27215 15.058045
## 13744       0 13.188133 17.64512 15.261677
## 13746       0 13.263707 18.01622 15.468064
## 13748       0 13.353466 18.42843 15.677241
## 13750       0 13.432372 18.82567 15.889247
## 13752       0 13.513453 19.23936 16.104120
## 13754       0 13.582972 19.67060 16.321898
## 13756       0 13.633575 20.10565 16.542622
## 13758       0 13.688893 20.55819 16.766331
## 13760       0 13.756667 21.01867 16.993065
## 13762       0 13.814921 21.49962 17.222865
## 13764       0 13.889533 22.00975 17.455773
## 13766       0 13.954464 22.51002 17.691830
## 13768       0 14.012368 22.99509 17.931080
## 13770       0 14.071917 23.51784 18.173565
## 13772       0 11.884939 14.34782 13.081450
## 13774       0  7.278795 12.16782  9.410003
## 13776       0  7.442278 12.22654  9.537256
## 13778       0  7.616903 12.27506  9.666230
## 13780       0  7.794476 12.33184  9.796948
## 13782       0  7.968878 12.37636  9.929433
## 13784       0  8.156875 12.43860 10.063711
## 13786       0  8.340492 12.49641 10.199804
## 13788       0  8.522020 12.56565 10.337738
## 13790       0  8.708284 12.62582 10.477537
## 13792       0  8.897316 12.69166 10.619226
## 13794       0  9.089560 12.74577 10.762832
## 13796       0  9.286074 12.80889 10.908379
## 13798       0  9.482701 12.88412 11.055895
## 13800       0  9.688510 12.95809 11.205406
## 13802       0  9.898005 13.03710 11.356939
## 13804       0 10.093741 13.13322 11.510520
## 13806       0 10.295404 13.21189 11.666179
## 13808       0 10.487528 13.31396 11.823943
## 13810       0 10.688480 13.41519 11.983840
## 13812       0 10.884731 13.51431 12.145900
## 13814       0 11.084090 13.63597 12.310151
## 13816       0 11.273297 13.76852 12.476623
## 13818       0 11.452446 13.92574 12.645346
## 13820       0 11.639194 14.08734 12.816351
## 13822       0 11.802069 14.25588 12.989669
## 13824       0 11.954662 14.44565 13.165331
## 13826       0 12.095975 14.67114 13.343368
## 13828       0 12.245470 14.88313 13.523812
## 13830       0 12.384249 15.12745 13.706697
## 13832       0 12.510622 15.39267 13.892055
## 13834       0 12.617263 15.66209 14.079920
## 13836       0 12.729714 15.96001 14.270325
## 13838       0 12.830995 16.26985 14.463305
## 13840       0 12.933504 16.58753 14.658895
## 13842       0 13.029273 16.92409 14.857129
## 13844       0 13.106783 17.27215 15.058045
## 13846       0 13.188133 17.64512 15.261677
## 13848       0 13.263707 18.01622 15.468064
## 13850       0 13.353466 18.42843 15.677241
## 13852       0 13.432372 18.82567 15.889247
## 13854       0 13.513453 19.23936 16.104120
## 13856       0 13.582972 19.67060 16.321898
## 13858       0 13.633575 20.10565 16.542622
## 13860       0 13.688893 20.55819 16.766331
## 13862       0 13.756667 21.01867 16.993065
## 13864       0 13.814921 21.49962 17.222865
## 13866       0 13.889533 22.00975 17.455773
## 13868       0 13.954464 22.51002 17.691830
## 13870       0 14.012368 22.99509 17.931080
## 13872       0 14.071917 23.51784 18.173565
## 13874       0 11.884939 14.34782 13.081450
## 13876       0  7.278795 12.16782  9.410003
## 13878       0  7.442278 12.22654  9.537256
## 13880       0  7.616903 12.27506  9.666230
## 13882       0  7.794476 12.33184  9.796948
## 13884       0  7.968878 12.37636  9.929433
## 13886       0  8.156875 12.43860 10.063711
## 13888       0  8.340492 12.49641 10.199804
## 13890       0  8.522020 12.56565 10.337738
## 13892       0  8.708284 12.62582 10.477537
## 13894       0  8.897316 12.69166 10.619226
## 13896       0  9.089560 12.74577 10.762832
## 13898       0  9.286074 12.80889 10.908379
## 13900       0  9.482701 12.88412 11.055895
## 13902       0  9.688510 12.95809 11.205406
## 13904       0  9.898005 13.03710 11.356939
## 13906       0 10.093741 13.13322 11.510520
## 13908       0 10.295404 13.21189 11.666179
## 13910       0 10.487528 13.31396 11.823943
## 13912       0 10.688480 13.41519 11.983840
## 13914       0 10.884731 13.51431 12.145900
## 13916       0 11.084090 13.63597 12.310151
## 13918       0 11.273297 13.76852 12.476623
## 13920       0 11.452446 13.92574 12.645346
## 13922       0 11.639194 14.08734 12.816351
## 13924       0 11.802069 14.25588 12.989669
## 13926       0 11.954662 14.44565 13.165331
## 13928       0 12.095975 14.67114 13.343368
## 13930       0 12.245470 14.88313 13.523812
## 13932       0 12.384249 15.12745 13.706697
## 13934       0 12.510622 15.39267 13.892055
## 13936       0 12.617263 15.66209 14.079920
## 13938       0 12.729714 15.96001 14.270325
## 13940       0 12.830995 16.26985 14.463305
## 13942       0 12.933504 16.58753 14.658895
## 13944       0 13.029273 16.92409 14.857129
## 13946       0 13.106783 17.27215 15.058045
## 13948       0 13.188133 17.64512 15.261677
## 13950       0 13.263707 18.01622 15.468064
## 13952       0 13.353466 18.42843 15.677241
## 13954       0 13.432372 18.82567 15.889247
## 13956       0 13.513453 19.23936 16.104120
## 13958       0 13.582972 19.67060 16.321898
## 13960       0 13.633575 20.10565 16.542622
## 13962       0 13.688893 20.55819 16.766331
## 13964       0 13.756667 21.01867 16.993065
## 13966       0 13.814921 21.49962 17.222865
## 13968       0 13.889533 22.00975 17.455773
## 13970       0 13.954464 22.51002 17.691830
## 13972       0 14.012368 22.99509 17.931080
## 13974       0 14.071917 23.51784 18.173565
## 13976       0 11.884939 14.34782 13.081450
## 13978       0  7.278795 12.16782  9.410003
## 13980       0  7.442278 12.22654  9.537256
## 13982       0  7.616903 12.27506  9.666230
## 13984       0  7.794476 12.33184  9.796948
## 13986       0  7.968878 12.37636  9.929433
## 13988       0  8.156875 12.43860 10.063711
## 13990       0  8.340492 12.49641 10.199804
## 13992       0  8.522020 12.56565 10.337738
## 13994       0  8.708284 12.62582 10.477537
## 13996       0  8.897316 12.69166 10.619226
## 13998       0  9.089560 12.74577 10.762832
## 14000       0  9.286074 12.80889 10.908379
## 14002       0  9.482701 12.88412 11.055895
## 14004       0  9.688510 12.95809 11.205406
## 14006       0  9.898005 13.03710 11.356939
## 14008       0 10.093741 13.13322 11.510520
## 14010       0 10.295404 13.21189 11.666179
## 14012       0 10.487528 13.31396 11.823943
## 14014       0 10.688480 13.41519 11.983840
## 14016       0 10.884731 13.51431 12.145900
## 14018       0 11.084090 13.63597 12.310151
## 14020       0 11.273297 13.76852 12.476623
## 14022       0 11.452446 13.92574 12.645346
## 14024       0 11.639194 14.08734 12.816351
## 14026       0 11.802069 14.25588 12.989669
## 14028       0 11.954662 14.44565 13.165331
## 14030       0 12.095975 14.67114 13.343368
## 14032       0 12.245470 14.88313 13.523812
## 14034       0 12.384249 15.12745 13.706697
## 14036       0 12.510622 15.39267 13.892055
## 14038       0 12.617263 15.66209 14.079920
## 14040       0 12.729714 15.96001 14.270325
## 14042       0 12.830995 16.26985 14.463305
## 14044       0 12.933504 16.58753 14.658895
## 14046       0 13.029273 16.92409 14.857129
## 14048       0 13.106783 17.27215 15.058045
## 14050       0 13.188133 17.64512 15.261677
## 14052       0 13.263707 18.01622 15.468064
## 14054       0 13.353466 18.42843 15.677241
## 14056       0 13.432372 18.82567 15.889247
## 14058       0 13.513453 19.23936 16.104120
## 14060       0 13.582972 19.67060 16.321898
## 14062       0 13.633575 20.10565 16.542622
## 14064       0 13.688893 20.55819 16.766331
## 14066       0 13.756667 21.01867 16.993065
## 14068       0 13.814921 21.49962 17.222865
## 14070       0 13.889533 22.00975 17.455773
## 14072       0 13.954464 22.51002 17.691830
## 14074       0 14.012368 22.99509 17.931080
## 14076       0 14.071917 23.51784 18.173565
## 14078       0 11.884939 14.34782 13.081450
## 14080       0  7.278795 12.16782  9.410003
## 14082       0  7.442278 12.22654  9.537256
## 14084       0  7.616903 12.27506  9.666230
## 14086       0  7.794476 12.33184  9.796948
## 14088       0  7.968878 12.37636  9.929433
## 14090       0  8.156875 12.43860 10.063711
## 14092       0  8.340492 12.49641 10.199804
## 14094       0  8.522020 12.56565 10.337738
## 14096       0  8.708284 12.62582 10.477537
## 14098       0  8.897316 12.69166 10.619226
## 14100       0  9.089560 12.74577 10.762832
## 14102       0  9.286074 12.80889 10.908379
## 14104       0  9.482701 12.88412 11.055895
## 14106       0  9.688510 12.95809 11.205406
## 14108       0  9.898005 13.03710 11.356939
## 14110       0 10.093741 13.13322 11.510520
## 14112       0 10.295404 13.21189 11.666179
## 14114       0 10.487528 13.31396 11.823943
## 14116       0 10.688480 13.41519 11.983840
## 14118       0 10.884731 13.51431 12.145900
## 14120       0 11.084090 13.63597 12.310151
## 14122       0 11.273297 13.76852 12.476623
## 14124       0 11.452446 13.92574 12.645346
## 14126       0 11.639194 14.08734 12.816351
## 14128       0 11.802069 14.25588 12.989669
## 14130       0 11.954662 14.44565 13.165331
## 14132       0 12.095975 14.67114 13.343368
## 14134       0 12.245470 14.88313 13.523812
## 14136       0 12.384249 15.12745 13.706697
## 14138       0 12.510622 15.39267 13.892055
## 14140       0 12.617263 15.66209 14.079920
## 14142       0 12.729714 15.96001 14.270325
## 14144       0 12.830995 16.26985 14.463305
## 14146       0 12.933504 16.58753 14.658895
## 14148       0 13.029273 16.92409 14.857129
## 14150       0 13.106783 17.27215 15.058045
## 14152       0 13.188133 17.64512 15.261677
## 14154       0 13.263707 18.01622 15.468064
## 14156       0 13.353466 18.42843 15.677241
## 14158       0 13.432372 18.82567 15.889247
## 14160       0 13.513453 19.23936 16.104120
## 14162       0 13.582972 19.67060 16.321898
## 14164       0 13.633575 20.10565 16.542622
## 14166       0 13.688893 20.55819 16.766331
## 14168       0 13.756667 21.01867 16.993065
## 14170       0 13.814921 21.49962 17.222865
## 14172       0 13.889533 22.00975 17.455773
## 14174       0 13.954464 22.51002 17.691830
## 14176       0 14.012368 22.99509 17.931080
## 14178       0 14.071917 23.51784 18.173565
## 14180       0 11.884939 14.34782 13.081450
## 14182       0  7.278795 12.16782  9.410003
## 14184       0  7.442278 12.22654  9.537256
## 14186       0  7.616903 12.27506  9.666230
## 14188       0  7.794476 12.33184  9.796948
## 14190       0  7.968878 12.37636  9.929433
## 14192       0  8.156875 12.43860 10.063711
## 14194       0  8.340492 12.49641 10.199804
## 14196       0  8.522020 12.56565 10.337738
## 14198       0  8.708284 12.62582 10.477537
## 14200       0  8.897316 12.69166 10.619226
## 14202       0  9.089560 12.74577 10.762832
## 14204       0  9.286074 12.80889 10.908379
## 14206       0  9.482701 12.88412 11.055895
## 14208       0  9.688510 12.95809 11.205406
## 14210       0  9.898005 13.03710 11.356939
## 14212       0 10.093741 13.13322 11.510520
## 14214       0 10.295404 13.21189 11.666179
## 14216       0 10.487528 13.31396 11.823943
## 14218       0 10.688480 13.41519 11.983840
## 14220       0 10.884731 13.51431 12.145900
## 14222       0 11.084090 13.63597 12.310151
## 14224       0 11.273297 13.76852 12.476623
## 14226       0 11.452446 13.92574 12.645346
## 14228       0 11.639194 14.08734 12.816351
## 14230       0 11.802069 14.25588 12.989669
## 14232       0 11.954662 14.44565 13.165331
## 14234       0 12.095975 14.67114 13.343368
## 14236       0 12.245470 14.88313 13.523812
## 14238       0 12.384249 15.12745 13.706697
## 14240       0 12.510622 15.39267 13.892055
## 14242       0 12.617263 15.66209 14.079920
## 14244       0 12.729714 15.96001 14.270325
## 14246       0 12.830995 16.26985 14.463305
## 14248       0 12.933504 16.58753 14.658895
## 14250       0 13.029273 16.92409 14.857129
## 14252       0 13.106783 17.27215 15.058045
## 14254       0 13.188133 17.64512 15.261677
## 14256       0 13.263707 18.01622 15.468064
## 14258       0 13.353466 18.42843 15.677241
## 14260       0 13.432372 18.82567 15.889247
## 14262       0 13.513453 19.23936 16.104120
## 14264       0 13.582972 19.67060 16.321898
## 14266       0 13.633575 20.10565 16.542622
## 14268       0 13.688893 20.55819 16.766331
## 14270       0 13.756667 21.01867 16.993065
## 14272       0 13.814921 21.49962 17.222865
## 14274       0 13.889533 22.00975 17.455773
## 14276       0 13.954464 22.51002 17.691830
## 14278       0 14.012368 22.99509 17.931080
## 14280       0 14.071917 23.51784 18.173565
## 14282       0 11.884939 14.34782 13.081450
## 14284       0  7.278795 12.16782  9.410003
## 14286       0  7.442278 12.22654  9.537256
## 14288       0  7.616903 12.27506  9.666230
## 14290       0  7.794476 12.33184  9.796948
## 14292       0  7.968878 12.37636  9.929433
## 14294       0  8.156875 12.43860 10.063711
## 14296       0  8.340492 12.49641 10.199804
## 14298       0  8.522020 12.56565 10.337738
## 14300       0  8.708284 12.62582 10.477537
## 14302       0  8.897316 12.69166 10.619226
## 14304       0  9.089560 12.74577 10.762832
## 14306       0  9.286074 12.80889 10.908379
## 14308       0  9.482701 12.88412 11.055895
## 14310       0  9.688510 12.95809 11.205406
## 14312       0  9.898005 13.03710 11.356939
## 14314       0 10.093741 13.13322 11.510520
## 14316       0 10.295404 13.21189 11.666179
## 14318       0 10.487528 13.31396 11.823943
## 14320       0 10.688480 13.41519 11.983840
## 14322       0 10.884731 13.51431 12.145900
## 14324       0 11.084090 13.63597 12.310151
## 14326       0 11.273297 13.76852 12.476623
## 14328       0 11.452446 13.92574 12.645346
## 14330       0 11.639194 14.08734 12.816351
## 14332       0 11.802069 14.25588 12.989669
## 14334       0 11.954662 14.44565 13.165331
## 14336       0 12.095975 14.67114 13.343368
## 14338       0 12.245470 14.88313 13.523812
## 14340       0 12.384249 15.12745 13.706697
## 14342       0 12.510622 15.39267 13.892055
## 14344       0 12.617263 15.66209 14.079920
## 14346       0 12.729714 15.96001 14.270325
## 14348       0 12.830995 16.26985 14.463305
## 14350       0 12.933504 16.58753 14.658895
## 14352       0 13.029273 16.92409 14.857129
## 14354       0 13.106783 17.27215 15.058045
## 14356       0 13.188133 17.64512 15.261677
## 14358       0 13.263707 18.01622 15.468064
## 14360       0 13.353466 18.42843 15.677241
## 14362       0 13.432372 18.82567 15.889247
## 14364       0 13.513453 19.23936 16.104120
## 14366       0 13.582972 19.67060 16.321898
## 14368       0 13.633575 20.10565 16.542622
## 14370       0 13.688893 20.55819 16.766331
## 14372       0 13.756667 21.01867 16.993065
## 14374       0 13.814921 21.49962 17.222865
## 14376       0 13.889533 22.00975 17.455773
## 14378       0 13.954464 22.51002 17.691830
## 14380       0 14.012368 22.99509 17.931080
## 14382       0 14.071917 23.51784 18.173565
## 14384       0 11.884939 14.34782 13.081450
## 14386       0  7.278795 12.16782  9.410003
## 14388       0  7.442278 12.22654  9.537256
## 14390       0  7.616903 12.27506  9.666230
## 14392       0  7.794476 12.33184  9.796948
## 14394       0  7.968878 12.37636  9.929433
## 14396       0  8.156875 12.43860 10.063711
## 14398       0  8.340492 12.49641 10.199804
## 14400       0  8.522020 12.56565 10.337738
## 14402       0  8.708284 12.62582 10.477537
## 14404       0  8.897316 12.69166 10.619226
## 14406       0  9.089560 12.74577 10.762832
## 14408       0  9.286074 12.80889 10.908379
## 14410       0  9.482701 12.88412 11.055895
## 14412       0  9.688510 12.95809 11.205406
## 14414       0  9.898005 13.03710 11.356939
## 14416       0 10.093741 13.13322 11.510520
## 14418       0 10.295404 13.21189 11.666179
## 14420       0 10.487528 13.31396 11.823943
## 14422       0 10.688480 13.41519 11.983840
## 14424       0 10.884731 13.51431 12.145900
## 14426       0 11.084090 13.63597 12.310151
## 14428       0 11.273297 13.76852 12.476623
## 14430       0 11.452446 13.92574 12.645346
## 14432       0 11.639194 14.08734 12.816351
## 14434       0 11.802069 14.25588 12.989669
## 14436       0 11.954662 14.44565 13.165331
## 14438       0 12.095975 14.67114 13.343368
## 14440       0 12.245470 14.88313 13.523812
## 14442       0 12.384249 15.12745 13.706697
## 14444       0 12.510622 15.39267 13.892055
## 14446       0 12.617263 15.66209 14.079920
## 14448       0 12.729714 15.96001 14.270325
## 14450       0 12.830995 16.26985 14.463305
## 14452       0 12.933504 16.58753 14.658895
## 14454       0 13.029273 16.92409 14.857129
## 14456       0 13.106783 17.27215 15.058045
## 14458       0 13.188133 17.64512 15.261677
## 14460       0 13.263707 18.01622 15.468064
## 14462       0 13.353466 18.42843 15.677241
## 14464       0 13.432372 18.82567 15.889247
## 14466       0 13.513453 19.23936 16.104120
## 14468       0 13.582972 19.67060 16.321898
## 14470       0 13.633575 20.10565 16.542622
## 14472       0 13.688893 20.55819 16.766331
## 14474       0 13.756667 21.01867 16.993065
## 14476       0 13.814921 21.49962 17.222865
## 14478       0 13.889533 22.00975 17.455773
## 14480       0 13.954464 22.51002 17.691830
## 14482       0 14.012368 22.99509 17.931080
## 14484       0 14.071917 23.51784 18.173565
## 14486       0 11.884939 14.34782 13.081450
## 14488       0  7.278795 12.16782  9.410003
## 14490       0  7.442278 12.22654  9.537256
## 14492       0  7.616903 12.27506  9.666230
## 14494       0  7.794476 12.33184  9.796948
## 14496       0  7.968878 12.37636  9.929433
## 14498       0  8.156875 12.43860 10.063711
## 14500       0  8.340492 12.49641 10.199804
## 14502       0  8.522020 12.56565 10.337738
## 14504       0  8.708284 12.62582 10.477537
## 14506       0  8.897316 12.69166 10.619226
## 14508       0  9.089560 12.74577 10.762832
## 14510       0  9.286074 12.80889 10.908379
## 14512       0  9.482701 12.88412 11.055895
## 14514       0  9.688510 12.95809 11.205406
## 14516       0  9.898005 13.03710 11.356939
## 14518       0 10.093741 13.13322 11.510520
## 14520       0 10.295404 13.21189 11.666179
## 14522       0 10.487528 13.31396 11.823943
## 14524       0 10.688480 13.41519 11.983840
## 14526       0 10.884731 13.51431 12.145900
## 14528       0 11.084090 13.63597 12.310151
## 14530       0 11.273297 13.76852 12.476623
## 14532       0 11.452446 13.92574 12.645346
## 14534       0 11.639194 14.08734 12.816351
## 14536       0 11.802069 14.25588 12.989669
## 14538       0 11.954662 14.44565 13.165331
## 14540       0 12.095975 14.67114 13.343368
## 14542       0 12.245470 14.88313 13.523812
## 14544       0 12.384249 15.12745 13.706697
## 14546       0 12.510622 15.39267 13.892055
## 14548       0 12.617263 15.66209 14.079920
## 14550       0 12.729714 15.96001 14.270325
## 14552       0 12.830995 16.26985 14.463305
## 14554       0 12.933504 16.58753 14.658895
## 14556       0 13.029273 16.92409 14.857129
## 14558       0 13.106783 17.27215 15.058045
## 14560       0 13.188133 17.64512 15.261677
## 14562       0 13.263707 18.01622 15.468064
## 14564       0 13.353466 18.42843 15.677241
## 14566       0 13.432372 18.82567 15.889247
## 14568       0 13.513453 19.23936 16.104120
## 14570       0 13.582972 19.67060 16.321898
## 14572       0 13.633575 20.10565 16.542622
## 14574       0 13.688893 20.55819 16.766331
## 14576       0 13.756667 21.01867 16.993065
## 14578       0 13.814921 21.49962 17.222865
## 14580       0 13.889533 22.00975 17.455773
## 14582       0 13.954464 22.51002 17.691830
## 14584       0 14.012368 22.99509 17.931080
## 14586       0 14.071917 23.51784 18.173565
## 14588       0 11.884939 14.34782 13.081450
## 14590       0  7.278795 12.16782  9.410003
## 14592       0  7.442278 12.22654  9.537256
## 14594       0  7.616903 12.27506  9.666230
## 14596       0  7.794476 12.33184  9.796948
## 14598       0  7.968878 12.37636  9.929433
## 14600       0  8.156875 12.43860 10.063711
## 14602       0  8.340492 12.49641 10.199804
## 14604       0  8.522020 12.56565 10.337738
## 14606       0  8.708284 12.62582 10.477537
## 14608       0  8.897316 12.69166 10.619226
## 14610       0  9.089560 12.74577 10.762832
## 14612       0  9.286074 12.80889 10.908379
## 14614       0  9.482701 12.88412 11.055895
## 14616       0  9.688510 12.95809 11.205406
## 14618       0  9.898005 13.03710 11.356939
## 14620       0 10.093741 13.13322 11.510520
## 14622       0 10.295404 13.21189 11.666179
## 14624       0 10.487528 13.31396 11.823943
## 14626       0 10.688480 13.41519 11.983840
## 14628       0 10.884731 13.51431 12.145900
## 14630       0 11.084090 13.63597 12.310151
## 14632       0 11.273297 13.76852 12.476623
## 14634       0 11.452446 13.92574 12.645346
## 14636       0 11.639194 14.08734 12.816351
## 14638       0 11.802069 14.25588 12.989669
## 14640       0 11.954662 14.44565 13.165331
## 14642       0 12.095975 14.67114 13.343368
## 14644       0 12.245470 14.88313 13.523812
## 14646       0 12.384249 15.12745 13.706697
## 14648       0 12.510622 15.39267 13.892055
## 14650       0 12.617263 15.66209 14.079920
## 14652       0 12.729714 15.96001 14.270325
## 14654       0 12.830995 16.26985 14.463305
## 14656       0 12.933504 16.58753 14.658895
## 14658       0 13.029273 16.92409 14.857129
## 14660       0 13.106783 17.27215 15.058045
## 14662       0 13.188133 17.64512 15.261677
## 14664       0 13.263707 18.01622 15.468064
## 14666       0 13.353466 18.42843 15.677241
## 14668       0 13.432372 18.82567 15.889247
## 14670       0 13.513453 19.23936 16.104120
## 14672       0 13.582972 19.67060 16.321898
## 14674       0 13.633575 20.10565 16.542622
## 14676       0 13.688893 20.55819 16.766331
## 14678       0 13.756667 21.01867 16.993065
## 14680       0 13.814921 21.49962 17.222865
## 14682       0 13.889533 22.00975 17.455773
## 14684       0 13.954464 22.51002 17.691830
## 14686       0 14.012368 22.99509 17.931080
## 14688       0 14.071917 23.51784 18.173565
## 14690       0 11.884939 14.34782 13.081450
## 14692       0  7.278795 12.16782  9.410003
## 14694       0  7.442278 12.22654  9.537256
## 14696       0  7.616903 12.27506  9.666230
## 14698       0  7.794476 12.33184  9.796948
## 14700       0  7.968878 12.37636  9.929433
## 14702       0  8.156875 12.43860 10.063711
## 14704       0  8.340492 12.49641 10.199804
## 14706       0  8.522020 12.56565 10.337738
## 14708       0  8.708284 12.62582 10.477537
## 14710       0  8.897316 12.69166 10.619226
## 14712       0  9.089560 12.74577 10.762832
## 14714       0  9.286074 12.80889 10.908379
## 14716       0  9.482701 12.88412 11.055895
## 14718       0  9.688510 12.95809 11.205406
## 14720       0  9.898005 13.03710 11.356939
## 14722       0 10.093741 13.13322 11.510520
## 14724       0 10.295404 13.21189 11.666179
## 14726       0 10.487528 13.31396 11.823943
## 14728       0 10.688480 13.41519 11.983840
## 14730       0 10.884731 13.51431 12.145900
## 14732       0 11.084090 13.63597 12.310151
## 14734       0 11.273297 13.76852 12.476623
## 14736       0 11.452446 13.92574 12.645346
## 14738       0 11.639194 14.08734 12.816351
## 14740       0 11.802069 14.25588 12.989669
## 14742       0 11.954662 14.44565 13.165331
## 14744       0 12.095975 14.67114 13.343368
## 14746       0 12.245470 14.88313 13.523812
## 14748       0 12.384249 15.12745 13.706697
## 14750       0 12.510622 15.39267 13.892055
## 14752       0 12.617263 15.66209 14.079920
## 14754       0 12.729714 15.96001 14.270325
## 14756       0 12.830995 16.26985 14.463305
## 14758       0 12.933504 16.58753 14.658895
## 14760       0 13.029273 16.92409 14.857129
## 14762       0 13.106783 17.27215 15.058045
## 14764       0 13.188133 17.64512 15.261677
## 14766       0 13.263707 18.01622 15.468064
## 14768       0 13.353466 18.42843 15.677241
## 14770       0 13.432372 18.82567 15.889247
## 14772       0 13.513453 19.23936 16.104120
## 14774       0 13.582972 19.67060 16.321898
## 14776       0 13.633575 20.10565 16.542622
## 14778       0 13.688893 20.55819 16.766331
## 14780       0 13.756667 21.01867 16.993065
## 14782       0 13.814921 21.49962 17.222865
## 14784       0 13.889533 22.00975 17.455773
## 14786       0 13.954464 22.51002 17.691830
## 14788       0 14.012368 22.99509 17.931080
## 14790       0 14.071917 23.51784 18.173565
## 14792       0 11.884939 14.34782 13.081450
## 14794       0  7.278795 12.16782  9.410003
## 14796       0  7.442278 12.22654  9.537256
## 14798       0  7.616903 12.27506  9.666230
## 14800       0  7.794476 12.33184  9.796948
## 14802       0  7.968878 12.37636  9.929433
## 14804       0  8.156875 12.43860 10.063711
## 14806       0  8.340492 12.49641 10.199804
## 14808       0  8.522020 12.56565 10.337738
## 14810       0  8.708284 12.62582 10.477537
## 14812       0  8.897316 12.69166 10.619226
## 14814       0  9.089560 12.74577 10.762832
## 14816       0  9.286074 12.80889 10.908379
## 14818       0  9.482701 12.88412 11.055895
## 14820       0  9.688510 12.95809 11.205406
## 14822       0  9.898005 13.03710 11.356939
## 14824       0 10.093741 13.13322 11.510520
## 14826       0 10.295404 13.21189 11.666179
## 14828       0 10.487528 13.31396 11.823943
## 14830       0 10.688480 13.41519 11.983840
## 14832       0 10.884731 13.51431 12.145900
## 14834       0 11.084090 13.63597 12.310151
## 14836       0 11.273297 13.76852 12.476623
## 14838       0 11.452446 13.92574 12.645346
## 14840       0 11.639194 14.08734 12.816351
## 14842       0 11.802069 14.25588 12.989669
## 14844       0 11.954662 14.44565 13.165331
## 14846       0 12.095975 14.67114 13.343368
## 14848       0 12.245470 14.88313 13.523812
## 14850       0 12.384249 15.12745 13.706697
## 14852       0 12.510622 15.39267 13.892055
## 14854       0 12.617263 15.66209 14.079920
## 14856       0 12.729714 15.96001 14.270325
## 14858       0 12.830995 16.26985 14.463305
## 14860       0 12.933504 16.58753 14.658895
## 14862       0 13.029273 16.92409 14.857129
## 14864       0 13.106783 17.27215 15.058045
## 14866       0 13.188133 17.64512 15.261677
## 14868       0 13.263707 18.01622 15.468064
## 14870       0 13.353466 18.42843 15.677241
## 14872       0 13.432372 18.82567 15.889247
## 14874       0 13.513453 19.23936 16.104120
## 14876       0 13.582972 19.67060 16.321898
## 14878       0 13.633575 20.10565 16.542622
## 14880       0 13.688893 20.55819 16.766331
## 14882       0 13.756667 21.01867 16.993065
## 14884       0 13.814921 21.49962 17.222865
## 14886       0 13.889533 22.00975 17.455773
## 14888       0 13.954464 22.51002 17.691830
## 14890       0 14.012368 22.99509 17.931080
## 14892       0 14.071917 23.51784 18.173565
## 14894       0 11.884939 14.34782 13.081450
## 14896       0  7.278795 12.16782  9.410003
## 14898       0  7.442278 12.22654  9.537256
## 14900       0  7.616903 12.27506  9.666230
## 14902       0  7.794476 12.33184  9.796948
## 14904       0  7.968878 12.37636  9.929433
## 14906       0  8.156875 12.43860 10.063711
## 14908       0  8.340492 12.49641 10.199804
## 14910       0  8.522020 12.56565 10.337738
## 14912       0  8.708284 12.62582 10.477537
## 14914       0  8.897316 12.69166 10.619226
## 14916       0  9.089560 12.74577 10.762832
## 14918       0  9.286074 12.80889 10.908379
## 14920       0  9.482701 12.88412 11.055895
## 14922       0  9.688510 12.95809 11.205406
## 14924       0  9.898005 13.03710 11.356939
## 14926       0 10.093741 13.13322 11.510520
## 14928       0 10.295404 13.21189 11.666179
## 14930       0 10.487528 13.31396 11.823943
## 14932       0 10.688480 13.41519 11.983840
## 14934       0 10.884731 13.51431 12.145900
## 14936       0 11.084090 13.63597 12.310151
## 14938       0 11.273297 13.76852 12.476623
## 14940       0 11.452446 13.92574 12.645346
## 14942       0 11.639194 14.08734 12.816351
## 14944       0 11.802069 14.25588 12.989669
## 14946       0 11.954662 14.44565 13.165331
## 14948       0 12.095975 14.67114 13.343368
## 14950       0 12.245470 14.88313 13.523812
## 14952       0 12.384249 15.12745 13.706697
## 14954       0 12.510622 15.39267 13.892055
## 14956       0 12.617263 15.66209 14.079920
## 14958       0 12.729714 15.96001 14.270325
## 14960       0 12.830995 16.26985 14.463305
## 14962       0 12.933504 16.58753 14.658895
## 14964       0 13.029273 16.92409 14.857129
## 14966       0 13.106783 17.27215 15.058045
## 14968       0 13.188133 17.64512 15.261677
## 14970       0 13.263707 18.01622 15.468064
## 14972       0 13.353466 18.42843 15.677241
## 14974       0 13.432372 18.82567 15.889247
## 14976       0 13.513453 19.23936 16.104120
## 14978       0 13.582972 19.67060 16.321898
## 14980       0 13.633575 20.10565 16.542622
## 14982       0 13.688893 20.55819 16.766331
## 14984       0 13.756667 21.01867 16.993065
## 14986       0 13.814921 21.49962 17.222865
## 14988       0 13.889533 22.00975 17.455773
## 14990       0 13.954464 22.51002 17.691830
## 14992       0 14.012368 22.99509 17.931080
## 14994       0 14.071917 23.51784 18.173565
## 14996       0 11.884939 14.34782 13.081450
## 14998       0  7.278795 12.16782  9.410003
## 15000       0  7.442278 12.22654  9.537256
## 15002       0  7.616903 12.27506  9.666230
## 15004       0  7.794476 12.33184  9.796948
## 15006       0  7.968878 12.37636  9.929433
## 15008       0  8.156875 12.43860 10.063711
## 15010       0  8.340492 12.49641 10.199804
## 15012       0  8.522020 12.56565 10.337738
## 15014       0  8.708284 12.62582 10.477537
## 15016       0  8.897316 12.69166 10.619226
## 15018       0  9.089560 12.74577 10.762832
## 15020       0  9.286074 12.80889 10.908379
## 15022       0  9.482701 12.88412 11.055895
## 15024       0  9.688510 12.95809 11.205406
## 15026       0  9.898005 13.03710 11.356939
## 15028       0 10.093741 13.13322 11.510520
## 15030       0 10.295404 13.21189 11.666179
## 15032       0 10.487528 13.31396 11.823943
## 15034       0 10.688480 13.41519 11.983840
## 15036       0 10.884731 13.51431 12.145900
## 15038       0 11.084090 13.63597 12.310151
## 15040       0 11.273297 13.76852 12.476623
## 15042       0 11.452446 13.92574 12.645346
## 15044       0 11.639194 14.08734 12.816351
## 15046       0 11.802069 14.25588 12.989669
## 15048       0 11.954662 14.44565 13.165331
## 15050       0 12.095975 14.67114 13.343368
## 15052       0 12.245470 14.88313 13.523812
## 15054       0 12.384249 15.12745 13.706697
## 15056       0 12.510622 15.39267 13.892055
## 15058       0 12.617263 15.66209 14.079920
## 15060       0 12.729714 15.96001 14.270325
## 15062       0 12.830995 16.26985 14.463305
## 15064       0 12.933504 16.58753 14.658895
## 15066       0 13.029273 16.92409 14.857129
## 15068       0 13.106783 17.27215 15.058045
## 15070       0 13.188133 17.64512 15.261677
## 15072       0 13.263707 18.01622 15.468064
## 15074       0 13.353466 18.42843 15.677241
## 15076       0 13.432372 18.82567 15.889247
## 15078       0 13.513453 19.23936 16.104120
## 15080       0 13.582972 19.67060 16.321898
## 15082       0 13.633575 20.10565 16.542622
## 15084       0 13.688893 20.55819 16.766331
## 15086       0 13.756667 21.01867 16.993065
## 15088       0 13.814921 21.49962 17.222865
## 15090       0 13.889533 22.00975 17.455773
## 15092       0 13.954464 22.51002 17.691830
## 15094       0 14.012368 22.99509 17.931080
## 15096       0 14.071917 23.51784 18.173565
## 15098       0 11.884939 14.34782 13.081450
## 15100       0  7.278795 12.16782  9.410003
## 15102       0  7.442278 12.22654  9.537256
## 15104       0  7.616903 12.27506  9.666230
## 15106       0  7.794476 12.33184  9.796948
## 15108       0  7.968878 12.37636  9.929433
## 15110       0  8.156875 12.43860 10.063711
## 15112       0  8.340492 12.49641 10.199804
## 15114       0  8.522020 12.56565 10.337738
## 15116       0  8.708284 12.62582 10.477537
## 15118       0  8.897316 12.69166 10.619226
## 15120       0  9.089560 12.74577 10.762832
## 15122       0  9.286074 12.80889 10.908379
## 15124       0  9.482701 12.88412 11.055895
## 15126       0  9.688510 12.95809 11.205406
## 15128       0  9.898005 13.03710 11.356939
## 15130       0 10.093741 13.13322 11.510520
## 15132       0 10.295404 13.21189 11.666179
## 15134       0 10.487528 13.31396 11.823943
## 15136       0 10.688480 13.41519 11.983840
## 15138       0 10.884731 13.51431 12.145900
## 15140       0 11.084090 13.63597 12.310151
## 15142       0 11.273297 13.76852 12.476623
## 15144       0 11.452446 13.92574 12.645346
## 15146       0 11.639194 14.08734 12.816351
## 15148       0 11.802069 14.25588 12.989669
## 15150       0 11.954662 14.44565 13.165331
## 15152       0 12.095975 14.67114 13.343368
## 15154       0 12.245470 14.88313 13.523812
## 15156       0 12.384249 15.12745 13.706697
## 15158       0 12.510622 15.39267 13.892055
## 15160       0 12.617263 15.66209 14.079920
## 15162       0 12.729714 15.96001 14.270325
## 15164       0 12.830995 16.26985 14.463305
## 15166       0 12.933504 16.58753 14.658895
## 15168       0 13.029273 16.92409 14.857129
## 15170       0 13.106783 17.27215 15.058045
## 15172       0 13.188133 17.64512 15.261677
## 15174       0 13.263707 18.01622 15.468064
## 15176       0 13.353466 18.42843 15.677241
## 15178       0 13.432372 18.82567 15.889247
## 15180       0 13.513453 19.23936 16.104120
## 15182       0 13.582972 19.67060 16.321898
## 15184       0 13.633575 20.10565 16.542622
## 15186       0 13.688893 20.55819 16.766331
## 15188       0 13.756667 21.01867 16.993065
## 15190       0 13.814921 21.49962 17.222865
## 15192       0 13.889533 22.00975 17.455773
## 15194       0 13.954464 22.51002 17.691830
## 15196       0 14.012368 22.99509 17.931080
## 15198       0 14.071917 23.51784 18.173565
## 15200       0 11.884939 14.34782 13.081450
## 15202       0  7.278795 12.16782  9.410003
## 15204       0  7.442278 12.22654  9.537256
## 15206       0  7.616903 12.27506  9.666230
## 15208       0  7.794476 12.33184  9.796948
## 15210       0  7.968878 12.37636  9.929433
## 15212       0  8.156875 12.43860 10.063711
## 15214       0  8.340492 12.49641 10.199804
## 15216       0  8.522020 12.56565 10.337738
## 15218       0  8.708284 12.62582 10.477537
## 15220       0  8.897316 12.69166 10.619226
## 15222       0  9.089560 12.74577 10.762832
## 15224       0  9.286074 12.80889 10.908379
## 15226       0  9.482701 12.88412 11.055895
## 15228       0  9.688510 12.95809 11.205406
## 15230       0  9.898005 13.03710 11.356939
## 15232       0 10.093741 13.13322 11.510520
## 15234       0 10.295404 13.21189 11.666179
## 15236       0 10.487528 13.31396 11.823943
## 15238       0 10.688480 13.41519 11.983840
## 15240       0 10.884731 13.51431 12.145900
## 15242       0 11.084090 13.63597 12.310151
## 15244       0 11.273297 13.76852 12.476623
## 15246       0 11.452446 13.92574 12.645346
## 15248       0 11.639194 14.08734 12.816351
## 15250       0 11.802069 14.25588 12.989669
## 15252       0 11.954662 14.44565 13.165331
## 15254       0 12.095975 14.67114 13.343368
## 15256       0 12.245470 14.88313 13.523812
## 15258       0 12.384249 15.12745 13.706697
## 15260       0 12.510622 15.39267 13.892055
## 15262       0 12.617263 15.66209 14.079920
## 15264       0 12.729714 15.96001 14.270325
## 15266       0 12.830995 16.26985 14.463305
## 15268       0 12.933504 16.58753 14.658895
## 15270       0 13.029273 16.92409 14.857129
## 15272       0 13.106783 17.27215 15.058045
## 15274       0 13.188133 17.64512 15.261677
## 15276       0 13.263707 18.01622 15.468064
## 15278       0 13.353466 18.42843 15.677241
## 15280       0 13.432372 18.82567 15.889247
## 15282       0 13.513453 19.23936 16.104120
## 15284       0 13.582972 19.67060 16.321898
## 15286       0 13.633575 20.10565 16.542622
## 15288       0 13.688893 20.55819 16.766331
## 15290       0 13.756667 21.01867 16.993065
## 15292       0 13.814921 21.49962 17.222865
## 15294       0 13.889533 22.00975 17.455773
## 15296       0 13.954464 22.51002 17.691830
## 15298       0 14.012368 22.99509 17.931080
## 15300       0 14.071917 23.51784 18.173565
## 15302       0 11.884939 14.34782 13.081450
## 15304       0  7.278795 12.16782  9.410003
## 15306       0  7.442278 12.22654  9.537256
## 15308       0  7.616903 12.27506  9.666230
## 15310       0  7.794476 12.33184  9.796948
## 15312       0  7.968878 12.37636  9.929433
## 15314       0  8.156875 12.43860 10.063711
## 15316       0  8.340492 12.49641 10.199804
## 15318       0  8.522020 12.56565 10.337738
## 15320       0  8.708284 12.62582 10.477537
## 15322       0  8.897316 12.69166 10.619226
## 15324       0  9.089560 12.74577 10.762832
## 15326       0  9.286074 12.80889 10.908379
## 15328       0  9.482701 12.88412 11.055895
## 15330       0  9.688510 12.95809 11.205406
## 15332       0  9.898005 13.03710 11.356939
## 15334       0 10.093741 13.13322 11.510520
## 15336       0 10.295404 13.21189 11.666179
## 15338       0 10.487528 13.31396 11.823943
## 15340       0 10.688480 13.41519 11.983840
## 15342       0 10.884731 13.51431 12.145900
## 15344       0 11.084090 13.63597 12.310151
## 15346       0 11.273297 13.76852 12.476623
## 15348       0 11.452446 13.92574 12.645346
## 15350       0 11.639194 14.08734 12.816351
## 15352       0 11.802069 14.25588 12.989669
## 15354       0 11.954662 14.44565 13.165331
## 15356       0 12.095975 14.67114 13.343368
## 15358       0 12.245470 14.88313 13.523812
## 15360       0 12.384249 15.12745 13.706697
## 15362       0 12.510622 15.39267 13.892055
## 15364       0 12.617263 15.66209 14.079920
## 15366       0 12.729714 15.96001 14.270325
## 15368       0 12.830995 16.26985 14.463305
## 15370       0 12.933504 16.58753 14.658895
## 15372       0 13.029273 16.92409 14.857129
## 15374       0 13.106783 17.27215 15.058045
## 15376       0 13.188133 17.64512 15.261677
## 15378       0 13.263707 18.01622 15.468064
## 15380       0 13.353466 18.42843 15.677241
## 15382       0 13.432372 18.82567 15.889247
## 15384       0 13.513453 19.23936 16.104120
## 15386       0 13.582972 19.67060 16.321898
## 15388       0 13.633575 20.10565 16.542622
## 15390       0 13.688893 20.55819 16.766331
## 15392       0 13.756667 21.01867 16.993065
## 15394       0 13.814921 21.49962 17.222865
## 15396       0 13.889533 22.00975 17.455773
## 15398       0 13.954464 22.51002 17.691830
## 15400       0 14.012368 22.99509 17.931080
## 15402       0 14.071917 23.51784 18.173565
## 15505       0 11.884939 14.34782 13.081450
## 15507       0  7.278795 12.16782  9.410003
## 15509       0  7.442278 12.22654  9.537256
## 15511       0  7.616903 12.27506  9.666230
## 15513       0  7.794476 12.33184  9.796948
## 15515       0  7.968878 12.37636  9.929433
## 15517       0  8.156875 12.43860 10.063711
## 15519       0  8.340492 12.49641 10.199804
## 15521       0  8.522020 12.56565 10.337738
## 15523       0  8.708284 12.62582 10.477537
## 15525       0  8.897316 12.69166 10.619226
## 15527       0  9.089560 12.74577 10.762832
## 15529       0  9.286074 12.80889 10.908379
## 15531       0  9.482701 12.88412 11.055895
## 15533       0  9.688510 12.95809 11.205406
## 15535       0  9.898005 13.03710 11.356939
## 15537       0 10.093741 13.13322 11.510520
## 15539       0 10.295404 13.21189 11.666179
## 15541       0 10.487528 13.31396 11.823943
## 15543       0 10.688480 13.41519 11.983840
## 15545       0 10.884731 13.51431 12.145900
## 15547       0 11.084090 13.63597 12.310151
## 15549       0 11.273297 13.76852 12.476623
## 15551       0 11.452446 13.92574 12.645346
## 15553       0 11.639194 14.08734 12.816351
## 15555       0 11.802069 14.25588 12.989669
## 15557       0 11.954662 14.44565 13.165331
## 15559       0 12.095975 14.67114 13.343368
## 15561       0 12.245470 14.88313 13.523812
## 15563       0 12.384249 15.12745 13.706697
## 15565       0 12.510622 15.39267 13.892055
## 15567       0 12.617263 15.66209 14.079920
## 15569       0 12.729714 15.96001 14.270325
## 15571       0 12.830995 16.26985 14.463305
## 15573       0 12.933504 16.58753 14.658895
## 15575       0 13.029273 16.92409 14.857129
## 15577       0 13.106783 17.27215 15.058045
## 15579       0 13.188133 17.64512 15.261677
## 15581       0 13.263707 18.01622 15.468064
## 15583       0 13.353466 18.42843 15.677241
## 15585       0 13.432372 18.82567 15.889247
## 15587       0 13.513453 19.23936 16.104120
## 15589       0 13.582972 19.67060 16.321898
## 15591       0 13.633575 20.10565 16.542622
## 15593       0 13.688893 20.55819 16.766331
## 15595       0 13.756667 21.01867 16.993065
## 15597       0 13.814921 21.49962 17.222865
## 15599       0 13.889533 22.00975 17.455773
## 15601       0 13.954464 22.51002 17.691830
## 15603       0 14.012368 22.99509 17.931080
## 15605       0 14.071917 23.51784 18.173565
## 15607       0 11.884939 14.34782 13.081450
## 15609       0  7.278795 12.16782  9.410003
## 15611       0  7.442278 12.22654  9.537256
## 15613       0  7.616903 12.27506  9.666230
## 15615       0  7.794476 12.33184  9.796948
## 15617       0  7.968878 12.37636  9.929433
## 15619       0  8.156875 12.43860 10.063711
## 15621       0  8.340492 12.49641 10.199804
## 15623       0  8.522020 12.56565 10.337738
## 15625       0  8.708284 12.62582 10.477537
## 15627       0  8.897316 12.69166 10.619226
## 15629       0  9.089560 12.74577 10.762832
## 15631       0  9.286074 12.80889 10.908379
## 15633       0  9.482701 12.88412 11.055895
## 15635       0  9.688510 12.95809 11.205406
## 15637       0  9.898005 13.03710 11.356939
## 15639       0 10.093741 13.13322 11.510520
## 15641       0 10.295404 13.21189 11.666179
## 15643       0 10.487528 13.31396 11.823943
## 15645       0 10.688480 13.41519 11.983840
## 15647       0 10.884731 13.51431 12.145900
## 15649       0 11.084090 13.63597 12.310151
## 15651       0 11.273297 13.76852 12.476623
## 15653       0 11.452446 13.92574 12.645346
## 15655       0 11.639194 14.08734 12.816351
## 15657       0 11.802069 14.25588 12.989669
## 15659       0 11.954662 14.44565 13.165331
## 15661       0 12.095975 14.67114 13.343368
## 15663       0 12.245470 14.88313 13.523812
## 15665       0 12.384249 15.12745 13.706697
## 15667       0 12.510622 15.39267 13.892055
## 15669       0 12.617263 15.66209 14.079920
## 15671       0 12.729714 15.96001 14.270325
## 15673       0 12.830995 16.26985 14.463305
## 15675       0 12.933504 16.58753 14.658895
## 15677       0 13.029273 16.92409 14.857129
## 15679       0 13.106783 17.27215 15.058045
## 15681       0 13.188133 17.64512 15.261677
## 15683       0 13.263707 18.01622 15.468064
## 15685       0 13.353466 18.42843 15.677241
## 15687       0 13.432372 18.82567 15.889247
## 15689       0 13.513453 19.23936 16.104120
## 15691       0 13.582972 19.67060 16.321898
## 15693       0 13.633575 20.10565 16.542622
## 15695       0 13.688893 20.55819 16.766331
## 15697       0 13.756667 21.01867 16.993065
## 15699       0 13.814921 21.49962 17.222865
## 15701       0 13.889533 22.00975 17.455773
## 15703       0 13.954464 22.51002 17.691830
## 15705       0 14.012368 22.99509 17.931080
## 15707       0 14.071917 23.51784 18.173565
## 15709       0 11.884939 14.34782 13.081450
## 15711       0  7.278795 12.16782  9.410003
## 15713       0  7.442278 12.22654  9.537256
## 15715       0  7.616903 12.27506  9.666230
## 15717       0  7.794476 12.33184  9.796948
## 15719       0  7.968878 12.37636  9.929433
## 15721       0  8.156875 12.43860 10.063711
## 15723       0  8.340492 12.49641 10.199804
## 15725       0  8.522020 12.56565 10.337738
## 15727       0  8.708284 12.62582 10.477537
## 15729       0  8.897316 12.69166 10.619226
## 15731       0  9.089560 12.74577 10.762832
## 15733       0  9.286074 12.80889 10.908379
## 15735       0  9.482701 12.88412 11.055895
## 15737       0  9.688510 12.95809 11.205406
## 15739       0  9.898005 13.03710 11.356939
## 15741       0 10.093741 13.13322 11.510520
## 15743       0 10.295404 13.21189 11.666179
## 15745       0 10.487528 13.31396 11.823943
## 15747       0 10.688480 13.41519 11.983840
## 15749       0 10.884731 13.51431 12.145900
## 15751       0 11.084090 13.63597 12.310151
## 15753       0 11.273297 13.76852 12.476623
## 15755       0 11.452446 13.92574 12.645346
## 15757       0 11.639194 14.08734 12.816351
## 15759       0 11.802069 14.25588 12.989669
## 15761       0 11.954662 14.44565 13.165331
## 15763       0 12.095975 14.67114 13.343368
## 15765       0 12.245470 14.88313 13.523812
## 15767       0 12.384249 15.12745 13.706697
## 15769       0 12.510622 15.39267 13.892055
## 15771       0 12.617263 15.66209 14.079920
## 15773       0 12.729714 15.96001 14.270325
## 15775       0 12.830995 16.26985 14.463305
## 15777       0 12.933504 16.58753 14.658895
## 15779       0 13.029273 16.92409 14.857129
## 15781       0 13.106783 17.27215 15.058045
## 15783       0 13.188133 17.64512 15.261677
## 15785       0 13.263707 18.01622 15.468064
## 15787       0 13.353466 18.42843 15.677241
## 15789       0 13.432372 18.82567 15.889247
## 15791       0 13.513453 19.23936 16.104120
## 15793       0 13.582972 19.67060 16.321898
## 15795       0 13.633575 20.10565 16.542622
## 15797       0 13.688893 20.55819 16.766331
## 15799       0 13.756667 21.01867 16.993065
## 15801       0 13.814921 21.49962 17.222865
## 15803       0 13.889533 22.00975 17.455773
## 15805       0 13.954464 22.51002 17.691830
## 15807       0 14.012368 22.99509 17.931080
## 15809       0 14.071917 23.51784 18.173565
## 15811       0 11.884939 14.34782 13.081450
## 15813       0  7.278795 12.16782  9.410003
## 15815       0  7.442278 12.22654  9.537256
## 15817       0  7.616903 12.27506  9.666230
## 15819       0  7.794476 12.33184  9.796948
## 15821       0  7.968878 12.37636  9.929433
## 15823       0  8.156875 12.43860 10.063711
## 15825       0  8.340492 12.49641 10.199804
## 15827       0  8.522020 12.56565 10.337738
## 15829       0  8.708284 12.62582 10.477537
## 15831       0  8.897316 12.69166 10.619226
## 15833       0  9.089560 12.74577 10.762832
## 15835       0  9.286074 12.80889 10.908379
## 15837       0  9.482701 12.88412 11.055895
## 15839       0  9.688510 12.95809 11.205406
## 15841       0  9.898005 13.03710 11.356939
## 15843       0 10.093741 13.13322 11.510520
## 15845       0 10.295404 13.21189 11.666179
## 15847       0 10.487528 13.31396 11.823943
## 15849       0 10.688480 13.41519 11.983840
## 15851       0 10.884731 13.51431 12.145900
## 15853       0 11.084090 13.63597 12.310151
## 15855       0 11.273297 13.76852 12.476623
## 15857       0 11.452446 13.92574 12.645346
## 15859       0 11.639194 14.08734 12.816351
## 15861       0 11.802069 14.25588 12.989669
## 15863       0 11.954662 14.44565 13.165331
## 15865       0 12.095975 14.67114 13.343368
## 15867       0 12.245470 14.88313 13.523812
## 15869       0 12.384249 15.12745 13.706697
## 15871       0 12.510622 15.39267 13.892055
## 15873       0 12.617263 15.66209 14.079920
## 15875       0 12.729714 15.96001 14.270325
## 15877       0 12.830995 16.26985 14.463305
## 15879       0 12.933504 16.58753 14.658895
## 15881       0 13.029273 16.92409 14.857129
## 15883       0 13.106783 17.27215 15.058045
## 15885       0 13.188133 17.64512 15.261677
## 15887       0 13.263707 18.01622 15.468064
## 15889       0 13.353466 18.42843 15.677241
## 15891       0 13.432372 18.82567 15.889247
## 15893       0 13.513453 19.23936 16.104120
## 15895       0 13.582972 19.67060 16.321898
## 15897       0 13.633575 20.10565 16.542622
## 15899       0 13.688893 20.55819 16.766331
## 15901       0 13.756667 21.01867 16.993065
## 15903       0 13.814921 21.49962 17.222865
## 15905       0 13.889533 22.00975 17.455773
## 15907       0 13.954464 22.51002 17.691830
## 15909       0 14.012368 22.99509 17.931080
## 15911       0 14.071917 23.51784 18.173565
## 15913       0 11.884939 14.34782 13.081450
## 15915       0  7.278795 12.16782  9.410003
## 15917       0  7.442278 12.22654  9.537256
## 15919       0  7.616903 12.27506  9.666230
## 15921       0  7.794476 12.33184  9.796948
## 15923       0  7.968878 12.37636  9.929433
## 15925       0  8.156875 12.43860 10.063711
## 15927       0  8.340492 12.49641 10.199804
## 15929       0  8.522020 12.56565 10.337738
## 15931       0  8.708284 12.62582 10.477537
## 15933       0  8.897316 12.69166 10.619226
## 15935       0  9.089560 12.74577 10.762832
## 15937       0  9.286074 12.80889 10.908379
## 15939       0  9.482701 12.88412 11.055895
## 15941       0  9.688510 12.95809 11.205406
## 15943       0  9.898005 13.03710 11.356939
## 15945       0 10.093741 13.13322 11.510520
## 15947       0 10.295404 13.21189 11.666179
## 15949       0 10.487528 13.31396 11.823943
## 15951       0 10.688480 13.41519 11.983840
## 15953       0 10.884731 13.51431 12.145900
## 15955       0 11.084090 13.63597 12.310151
## 15957       0 11.273297 13.76852 12.476623
## 15959       0 11.452446 13.92574 12.645346
## 15961       0 11.639194 14.08734 12.816351
## 15963       0 11.802069 14.25588 12.989669
## 15965       0 11.954662 14.44565 13.165331
## 15967       0 12.095975 14.67114 13.343368
## 15969       0 12.245470 14.88313 13.523812
## 15971       0 12.384249 15.12745 13.706697
## 15973       0 12.510622 15.39267 13.892055
## 15975       0 12.617263 15.66209 14.079920
## 15977       0 12.729714 15.96001 14.270325
## 15979       0 12.830995 16.26985 14.463305
## 15981       0 12.933504 16.58753 14.658895
## 15983       0 13.029273 16.92409 14.857129
## 15985       0 13.106783 17.27215 15.058045
## 15987       0 13.188133 17.64512 15.261677
## 15989       0 13.263707 18.01622 15.468064
## 15991       0 13.353466 18.42843 15.677241
## 15993       0 13.432372 18.82567 15.889247
## 15995       0 13.513453 19.23936 16.104120
## 15997       0 13.582972 19.67060 16.321898
## 15999       0 13.633575 20.10565 16.542622
## 16001       0 13.688893 20.55819 16.766331
## 16003       0 13.756667 21.01867 16.993065
## 16005       0 13.814921 21.49962 17.222865
## 16007       0 13.889533 22.00975 17.455773
## 16009       0 13.954464 22.51002 17.691830
## 16011       0 14.012368 22.99509 17.931080
## 16013       0 14.071917 23.51784 18.173565
## 16015       0 11.884939 14.34782 13.081450
## 16017       0  7.278795 12.16782  9.410003
## 16019       0  7.442278 12.22654  9.537256
## 16021       0  7.616903 12.27506  9.666230
## 16023       0  7.794476 12.33184  9.796948
## 16025       0  7.968878 12.37636  9.929433
## 16027       0  8.156875 12.43860 10.063711
## 16029       0  8.340492 12.49641 10.199804
## 16031       0  8.522020 12.56565 10.337738
## 16033       0  8.708284 12.62582 10.477537
## 16035       0  8.897316 12.69166 10.619226
## 16037       0  9.089560 12.74577 10.762832
## 16039       0  9.286074 12.80889 10.908379
## 16041       0  9.482701 12.88412 11.055895
## 16043       0  9.688510 12.95809 11.205406
## 16045       0  9.898005 13.03710 11.356939
## 16047       0 10.093741 13.13322 11.510520
## 16049       0 10.295404 13.21189 11.666179
## 16051       0 10.487528 13.31396 11.823943
## 16053       0 10.688480 13.41519 11.983840
## 16055       0 10.884731 13.51431 12.145900
## 16057       0 11.084090 13.63597 12.310151
## 16059       0 11.273297 13.76852 12.476623
## 16061       0 11.452446 13.92574 12.645346
## 16063       0 11.639194 14.08734 12.816351
## 16065       0 11.802069 14.25588 12.989669
## 16067       0 11.954662 14.44565 13.165331
## 16069       0 12.095975 14.67114 13.343368
## 16071       0 12.245470 14.88313 13.523812
## 16073       0 12.384249 15.12745 13.706697
## 16075       0 12.510622 15.39267 13.892055
## 16077       0 12.617263 15.66209 14.079920
## 16079       0 12.729714 15.96001 14.270325
## 16081       0 12.830995 16.26985 14.463305
## 16083       0 12.933504 16.58753 14.658895
## 16085       0 13.029273 16.92409 14.857129
## 16087       0 13.106783 17.27215 15.058045
## 16089       0 13.188133 17.64512 15.261677
## 16091       0 13.263707 18.01622 15.468064
## 16093       0 13.353466 18.42843 15.677241
## 16095       0 13.432372 18.82567 15.889247
## 16097       0 13.513453 19.23936 16.104120
## 16099       0 13.582972 19.67060 16.321898
## 16101       0 13.633575 20.10565 16.542622
## 16103       0 13.688893 20.55819 16.766331
## 16105       0 13.756667 21.01867 16.993065
## 16107       0 13.814921 21.49962 17.222865
## 16109       0 13.889533 22.00975 17.455773
## 16111       0 13.954464 22.51002 17.691830
## 16113       0 14.012368 22.99509 17.931080
## 16115       0 14.071917 23.51784 18.173565
## 16117       0 11.884939 14.34782 13.081450
## 16119       0  7.278795 12.16782  9.410003
## 16121       0  7.442278 12.22654  9.537256
## 16123       0  7.616903 12.27506  9.666230
## 16125       0  7.794476 12.33184  9.796948
## 16127       0  7.968878 12.37636  9.929433
## 16129       0  8.156875 12.43860 10.063711
## 16131       0  8.340492 12.49641 10.199804
## 16133       0  8.522020 12.56565 10.337738
## 16135       0  8.708284 12.62582 10.477537
## 16137       0  8.897316 12.69166 10.619226
## 16139       0  9.089560 12.74577 10.762832
## 16141       0  9.286074 12.80889 10.908379
## 16143       0  9.482701 12.88412 11.055895
## 16145       0  9.688510 12.95809 11.205406
## 16147       0  9.898005 13.03710 11.356939
## 16149       0 10.093741 13.13322 11.510520
## 16151       0 10.295404 13.21189 11.666179
## 16153       0 10.487528 13.31396 11.823943
## 16155       0 10.688480 13.41519 11.983840
## 16157       0 10.884731 13.51431 12.145900
## 16159       0 11.084090 13.63597 12.310151
## 16161       0 11.273297 13.76852 12.476623
## 16163       0 11.452446 13.92574 12.645346
## 16165       0 11.639194 14.08734 12.816351
## 16167       0 11.802069 14.25588 12.989669
## 16169       0 11.954662 14.44565 13.165331
## 16171       0 12.095975 14.67114 13.343368
## 16173       0 12.245470 14.88313 13.523812
## 16175       0 12.384249 15.12745 13.706697
## 16177       0 12.510622 15.39267 13.892055
## 16179       0 12.617263 15.66209 14.079920
## 16181       0 12.729714 15.96001 14.270325
## 16183       0 12.830995 16.26985 14.463305
## 16185       0 12.933504 16.58753 14.658895
## 16187       0 13.029273 16.92409 14.857129
## 16189       0 13.106783 17.27215 15.058045
## 16191       0 13.188133 17.64512 15.261677
## 16193       0 13.263707 18.01622 15.468064
## 16195       0 13.353466 18.42843 15.677241
## 16197       0 13.432372 18.82567 15.889247
## 16199       0 13.513453 19.23936 16.104120
## 16201       0 13.582972 19.67060 16.321898
## 16203       0 13.633575 20.10565 16.542622
## 16205       0 13.688893 20.55819 16.766331
## 16207       0 13.756667 21.01867 16.993065
## 16209       0 13.814921 21.49962 17.222865
## 16211       0 13.889533 22.00975 17.455773
## 16213       0 13.954464 22.51002 17.691830
## 16215       0 14.012368 22.99509 17.931080
## 16217       0 14.071917 23.51784 18.173565
## 16219       0 11.884939 14.34782 13.081450
## 16221       0  7.278795 12.16782  9.410003
## 16223       0  7.442278 12.22654  9.537256
## 16225       0  7.616903 12.27506  9.666230
## 16227       0  7.794476 12.33184  9.796948
## 16229       0  7.968878 12.37636  9.929433
## 16231       0  8.156875 12.43860 10.063711
## 16233       0  8.340492 12.49641 10.199804
## 16235       0  8.522020 12.56565 10.337738
## 16237       0  8.708284 12.62582 10.477537
## 16239       0  8.897316 12.69166 10.619226
## 16241       0  9.089560 12.74577 10.762832
## 16243       0  9.286074 12.80889 10.908379
## 16245       0  9.482701 12.88412 11.055895
## 16247       0  9.688510 12.95809 11.205406
## 16249       0  9.898005 13.03710 11.356939
## 16251       0 10.093741 13.13322 11.510520
## 16253       0 10.295404 13.21189 11.666179
## 16255       0 10.487528 13.31396 11.823943
## 16257       0 10.688480 13.41519 11.983840
## 16259       0 10.884731 13.51431 12.145900
## 16261       0 11.084090 13.63597 12.310151
## 16263       0 11.273297 13.76852 12.476623
## 16265       0 11.452446 13.92574 12.645346
## 16267       0 11.639194 14.08734 12.816351
## 16269       0 11.802069 14.25588 12.989669
## 16271       0 11.954662 14.44565 13.165331
## 16273       0 12.095975 14.67114 13.343368
## 16275       0 12.245470 14.88313 13.523812
## 16277       0 12.384249 15.12745 13.706697
## 16279       0 12.510622 15.39267 13.892055
## 16281       0 12.617263 15.66209 14.079920
## 16283       0 12.729714 15.96001 14.270325
## 16285       0 12.830995 16.26985 14.463305
## 16287       0 12.933504 16.58753 14.658895
## 16289       0 13.029273 16.92409 14.857129
## 16291       0 13.106783 17.27215 15.058045
## 16293       0 13.188133 17.64512 15.261677
## 16295       0 13.263707 18.01622 15.468064
## 16297       0 13.353466 18.42843 15.677241
## 16299       0 13.432372 18.82567 15.889247
## 16301       0 13.513453 19.23936 16.104120
## 16303       0 13.582972 19.67060 16.321898
## 16305       0 13.633575 20.10565 16.542622
## 16307       0 13.688893 20.55819 16.766331
## 16309       0 13.756667 21.01867 16.993065
## 16311       0 13.814921 21.49962 17.222865
## 16313       0 13.889533 22.00975 17.455773
## 16315       0 13.954464 22.51002 17.691830
## 16317       0 14.012368 22.99509 17.931080
## 16319       0 14.071917 23.51784 18.173565
## 16321       0 11.884939 14.34782 13.081450
## 16323       0  7.278795 12.16782  9.410003
## 16325       0  7.442278 12.22654  9.537256
## 16327       0  7.616903 12.27506  9.666230
## 16329       0  7.794476 12.33184  9.796948
## 16331       0  7.968878 12.37636  9.929433
## 16333       0  8.156875 12.43860 10.063711
## 16335       0  8.340492 12.49641 10.199804
## 16337       0  8.522020 12.56565 10.337738
## 16339       0  8.708284 12.62582 10.477537
## 16341       0  8.897316 12.69166 10.619226
## 16343       0  9.089560 12.74577 10.762832
## 16345       0  9.286074 12.80889 10.908379
## 16347       0  9.482701 12.88412 11.055895
## 16349       0  9.688510 12.95809 11.205406
## 16351       0  9.898005 13.03710 11.356939
## 16353       0 10.093741 13.13322 11.510520
## 16355       0 10.295404 13.21189 11.666179
## 16357       0 10.487528 13.31396 11.823943
## 16359       0 10.688480 13.41519 11.983840
## 16361       0 10.884731 13.51431 12.145900
## 16363       0 11.084090 13.63597 12.310151
## 16365       0 11.273297 13.76852 12.476623
## 16367       0 11.452446 13.92574 12.645346
## 16369       0 11.639194 14.08734 12.816351
## 16371       0 11.802069 14.25588 12.989669
## 16373       0 11.954662 14.44565 13.165331
## 16375       0 12.095975 14.67114 13.343368
## 16377       0 12.245470 14.88313 13.523812
## 16379       0 12.384249 15.12745 13.706697
## 16381       0 12.510622 15.39267 13.892055
## 16383       0 12.617263 15.66209 14.079920
## 16385       0 12.729714 15.96001 14.270325
## 16387       0 12.830995 16.26985 14.463305
## 16389       0 12.933504 16.58753 14.658895
## 16391       0 13.029273 16.92409 14.857129
## 16393       0 13.106783 17.27215 15.058045
## 16395       0 13.188133 17.64512 15.261677
## 16397       0 13.263707 18.01622 15.468064
## 16399       0 13.353466 18.42843 15.677241
## 16401       0 13.432372 18.82567 15.889247
## 16403       0 13.513453 19.23936 16.104120
## 16405       0 13.582972 19.67060 16.321898
## 16407       0 13.633575 20.10565 16.542622
## 16409       0 13.688893 20.55819 16.766331
## 16411       0 13.756667 21.01867 16.993065
## 16413       0 13.814921 21.49962 17.222865
## 16415       0 13.889533 22.00975 17.455773
## 16417       0 13.954464 22.51002 17.691830
## 16419       0 14.012368 22.99509 17.931080
## 16421       0 14.071917 23.51784 18.173565
## 16423       0 11.884939 14.34782 13.081450
## 16425       0  7.278795 12.16782  9.410003
## 16427       0  7.442278 12.22654  9.537256
## 16429       0  7.616903 12.27506  9.666230
## 16431       0  7.794476 12.33184  9.796948
## 16433       0  7.968878 12.37636  9.929433
## 16435       0  8.156875 12.43860 10.063711
## 16437       0  8.340492 12.49641 10.199804
## 16439       0  8.522020 12.56565 10.337738
## 16441       0  8.708284 12.62582 10.477537
## 16443       0  8.897316 12.69166 10.619226
## 16445       0  9.089560 12.74577 10.762832
## 16447       0  9.286074 12.80889 10.908379
## 16449       0  9.482701 12.88412 11.055895
## 16451       0  9.688510 12.95809 11.205406
## 16453       0  9.898005 13.03710 11.356939
## 16455       0 10.093741 13.13322 11.510520
## 16457       0 10.295404 13.21189 11.666179
## 16459       0 10.487528 13.31396 11.823943
## 16461       0 10.688480 13.41519 11.983840
## 16463       0 10.884731 13.51431 12.145900
## 16465       0 11.084090 13.63597 12.310151
## 16467       0 11.273297 13.76852 12.476623
## 16469       0 11.452446 13.92574 12.645346
## 16471       0 11.639194 14.08734 12.816351
## 16473       0 11.802069 14.25588 12.989669
## 16475       0 11.954662 14.44565 13.165331
## 16477       0 12.095975 14.67114 13.343368
## 16479       0 12.245470 14.88313 13.523812
## 16481       0 12.384249 15.12745 13.706697
## 16483       0 12.510622 15.39267 13.892055
## 16485       0 12.617263 15.66209 14.079920
## 16487       0 12.729714 15.96001 14.270325
## 16489       0 12.830995 16.26985 14.463305
## 16491       0 12.933504 16.58753 14.658895
## 16493       0 13.029273 16.92409 14.857129
## 16495       0 13.106783 17.27215 15.058045
## 16497       0 13.188133 17.64512 15.261677
## 16499       0 13.263707 18.01622 15.468064
## 16501       0 13.353466 18.42843 15.677241
## 16503       0 13.432372 18.82567 15.889247
## 16505       0 13.513453 19.23936 16.104120
## 16507       0 13.582972 19.67060 16.321898
## 16509       0 13.633575 20.10565 16.542622
## 16511       0 13.688893 20.55819 16.766331
## 16513       0 13.756667 21.01867 16.993065
## 16515       0 13.814921 21.49962 17.222865
## 16517       0 13.889533 22.00975 17.455773
## 16519       0 13.954464 22.51002 17.691830
## 16521       0 14.012368 22.99509 17.931080
## 16523       0 14.071917 23.51784 18.173565
## 16525       0 11.884939 14.34782 13.081450
## 16527       0  7.278795 12.16782  9.410003
## 16529       0  7.442278 12.22654  9.537256
## 16531       0  7.616903 12.27506  9.666230
## 16533       0  7.794476 12.33184  9.796948
## 16535       0  7.968878 12.37636  9.929433
## 16537       0  8.156875 12.43860 10.063711
## 16539       0  8.340492 12.49641 10.199804
## 16541       0  8.522020 12.56565 10.337738
## 16543       0  8.708284 12.62582 10.477537
## 16545       0  8.897316 12.69166 10.619226
## 16547       0  9.089560 12.74577 10.762832
## 16549       0  9.286074 12.80889 10.908379
## 16551       0  9.482701 12.88412 11.055895
## 16553       0  9.688510 12.95809 11.205406
## 16555       0  9.898005 13.03710 11.356939
## 16557       0 10.093741 13.13322 11.510520
## 16559       0 10.295404 13.21189 11.666179
## 16561       0 10.487528 13.31396 11.823943
## 16563       0 10.688480 13.41519 11.983840
## 16565       0 10.884731 13.51431 12.145900
## 16567       0 11.084090 13.63597 12.310151
## 16569       0 11.273297 13.76852 12.476623
## 16571       0 11.452446 13.92574 12.645346
## 16573       0 11.639194 14.08734 12.816351
## 16575       0 11.802069 14.25588 12.989669
## 16577       0 11.954662 14.44565 13.165331
## 16579       0 12.095975 14.67114 13.343368
## 16581       0 12.245470 14.88313 13.523812
## 16583       0 12.384249 15.12745 13.706697
## 16585       0 12.510622 15.39267 13.892055
## 16587       0 12.617263 15.66209 14.079920
## 16589       0 12.729714 15.96001 14.270325
## 16591       0 12.830995 16.26985 14.463305
## 16593       0 12.933504 16.58753 14.658895
## 16595       0 13.029273 16.92409 14.857129
## 16597       0 13.106783 17.27215 15.058045
## 16599       0 13.188133 17.64512 15.261677
## 16601       0 13.263707 18.01622 15.468064
## 16603       0 13.353466 18.42843 15.677241
## 16605       0 13.432372 18.82567 15.889247
## 16607       0 13.513453 19.23936 16.104120
## 16609       0 13.582972 19.67060 16.321898
## 16611       0 13.633575 20.10565 16.542622
## 16613       0 13.688893 20.55819 16.766331
## 16615       0 13.756667 21.01867 16.993065
## 16617       0 13.814921 21.49962 17.222865
## 16619       0 13.889533 22.00975 17.455773
## 16621       0 13.954464 22.51002 17.691830
## 16623       0 14.012368 22.99509 17.931080
## 16625       0 14.071917 23.51784 18.173565
## 16627       0 11.884939 14.34782 13.081450
## 16629       0  7.278795 12.16782  9.410003
## 16631       0  7.442278 12.22654  9.537256
## 16633       0  7.616903 12.27506  9.666230
## 16635       0  7.794476 12.33184  9.796948
## 16637       0  7.968878 12.37636  9.929433
## 16639       0  8.156875 12.43860 10.063711
## 16641       0  8.340492 12.49641 10.199804
## 16643       0  8.522020 12.56565 10.337738
## 16645       0  8.708284 12.62582 10.477537
## 16647       0  8.897316 12.69166 10.619226
## 16649       0  9.089560 12.74577 10.762832
## 16651       0  9.286074 12.80889 10.908379
## 16653       0  9.482701 12.88412 11.055895
## 16655       0  9.688510 12.95809 11.205406
## 16657       0  9.898005 13.03710 11.356939
## 16659       0 10.093741 13.13322 11.510520
## 16661       0 10.295404 13.21189 11.666179
## 16663       0 10.487528 13.31396 11.823943
## 16665       0 10.688480 13.41519 11.983840
## 16667       0 10.884731 13.51431 12.145900
## 16669       0 11.084090 13.63597 12.310151
## 16671       0 11.273297 13.76852 12.476623
## 16673       0 11.452446 13.92574 12.645346
## 16675       0 11.639194 14.08734 12.816351
## 16677       0 11.802069 14.25588 12.989669
## 16679       0 11.954662 14.44565 13.165331
## 16681       0 12.095975 14.67114 13.343368
## 16683       0 12.245470 14.88313 13.523812
## 16685       0 12.384249 15.12745 13.706697
## 16687       0 12.510622 15.39267 13.892055
## 16689       0 12.617263 15.66209 14.079920
## 16691       0 12.729714 15.96001 14.270325
## 16693       0 12.830995 16.26985 14.463305
## 16695       0 12.933504 16.58753 14.658895
## 16697       0 13.029273 16.92409 14.857129
## 16699       0 13.106783 17.27215 15.058045
## 16701       0 13.188133 17.64512 15.261677
## 16703       0 13.263707 18.01622 15.468064
## 16705       0 13.353466 18.42843 15.677241
## 16707       0 13.432372 18.82567 15.889247
## 16709       0 13.513453 19.23936 16.104120
## 16711       0 13.582972 19.67060 16.321898
## 16713       0 13.633575 20.10565 16.542622
## 16715       0 13.688893 20.55819 16.766331
## 16717       0 13.756667 21.01867 16.993065
## 16719       0 13.814921 21.49962 17.222865
## 16721       0 13.889533 22.00975 17.455773
## 16723       0 13.954464 22.51002 17.691830
## 16725       0 14.012368 22.99509 17.931080
## 16727       0 14.071917 23.51784 18.173565
## 16729       0 11.884939 14.34782 13.081450
## 16731       0  7.278795 12.16782  9.410003
## 16733       0  7.442278 12.22654  9.537256
## 16735       0  7.616903 12.27506  9.666230
## 16737       0  7.794476 12.33184  9.796948
## 16739       0  7.968878 12.37636  9.929433
## 16741       0  8.156875 12.43860 10.063711
## 16743       0  8.340492 12.49641 10.199804
## 16745       0  8.522020 12.56565 10.337738
## 16747       0  8.708284 12.62582 10.477537
## 16749       0  8.897316 12.69166 10.619226
## 16751       0  9.089560 12.74577 10.762832
## 16753       0  9.286074 12.80889 10.908379
## 16755       0  9.482701 12.88412 11.055895
## 16757       0  9.688510 12.95809 11.205406
## 16759       0  9.898005 13.03710 11.356939
## 16761       0 10.093741 13.13322 11.510520
## 16763       0 10.295404 13.21189 11.666179
## 16765       0 10.487528 13.31396 11.823943
## 16767       0 10.688480 13.41519 11.983840
## 16769       0 10.884731 13.51431 12.145900
## 16771       0 11.084090 13.63597 12.310151
## 16773       0 11.273297 13.76852 12.476623
## 16775       0 11.452446 13.92574 12.645346
## 16777       0 11.639194 14.08734 12.816351
## 16779       0 11.802069 14.25588 12.989669
## 16781       0 11.954662 14.44565 13.165331
## 16783       0 12.095975 14.67114 13.343368
## 16785       0 12.245470 14.88313 13.523812
## 16787       0 12.384249 15.12745 13.706697
## 16789       0 12.510622 15.39267 13.892055
## 16791       0 12.617263 15.66209 14.079920
## 16793       0 12.729714 15.96001 14.270325
## 16795       0 12.830995 16.26985 14.463305
## 16797       0 12.933504 16.58753 14.658895
## 16799       0 13.029273 16.92409 14.857129
## 16801       0 13.106783 17.27215 15.058045
## 16803       0 13.188133 17.64512 15.261677
## 16805       0 13.263707 18.01622 15.468064
## 16807       0 13.353466 18.42843 15.677241
## 16809       0 13.432372 18.82567 15.889247
## 16811       0 13.513453 19.23936 16.104120
## 16813       0 13.582972 19.67060 16.321898
## 16815       0 13.633575 20.10565 16.542622
## 16817       0 13.688893 20.55819 16.766331
## 16819       0 13.756667 21.01867 16.993065
## 16821       0 13.814921 21.49962 17.222865
## 16823       0 13.889533 22.00975 17.455773
## 16825       0 13.954464 22.51002 17.691830
## 16827       0 14.012368 22.99509 17.931080
## 16829       0 14.071917 23.51784 18.173565
## 16831       0 11.884939 14.34782 13.081450
## 16833       0  7.278795 12.16782  9.410003
## 16835       0  7.442278 12.22654  9.537256
## 16837       0  7.616903 12.27506  9.666230
## 16839       0  7.794476 12.33184  9.796948
## 16841       0  7.968878 12.37636  9.929433
## 16843       0  8.156875 12.43860 10.063711
## 16845       0  8.340492 12.49641 10.199804
## 16847       0  8.522020 12.56565 10.337738
## 16849       0  8.708284 12.62582 10.477537
## 16851       0  8.897316 12.69166 10.619226
## 16853       0  9.089560 12.74577 10.762832
## 16855       0  9.286074 12.80889 10.908379
## 16857       0  9.482701 12.88412 11.055895
## 16859       0  9.688510 12.95809 11.205406
## 16861       0  9.898005 13.03710 11.356939
## 16863       0 10.093741 13.13322 11.510520
## 16865       0 10.295404 13.21189 11.666179
## 16867       0 10.487528 13.31396 11.823943
## 16869       0 10.688480 13.41519 11.983840
## 16871       0 10.884731 13.51431 12.145900
## 16873       0 11.084090 13.63597 12.310151
## 16875       0 11.273297 13.76852 12.476623
## 16877       0 11.452446 13.92574 12.645346
## 16879       0 11.639194 14.08734 12.816351
## 16881       0 11.802069 14.25588 12.989669
## 16883       0 11.954662 14.44565 13.165331
## 16885       0 12.095975 14.67114 13.343368
## 16887       0 12.245470 14.88313 13.523812
## 16889       0 12.384249 15.12745 13.706697
## 16891       0 12.510622 15.39267 13.892055
## 16893       0 12.617263 15.66209 14.079920
## 16895       0 12.729714 15.96001 14.270325
## 16897       0 12.830995 16.26985 14.463305
## 16899       0 12.933504 16.58753 14.658895
## 16901       0 13.029273 16.92409 14.857129
## 16903       0 13.106783 17.27215 15.058045
## 16905       0 13.188133 17.64512 15.261677
## 16907       0 13.263707 18.01622 15.468064
## 16909       0 13.353466 18.42843 15.677241
## 16911       0 13.432372 18.82567 15.889247
## 16913       0 13.513453 19.23936 16.104120
## 16915       0 13.582972 19.67060 16.321898
## 16917       0 13.633575 20.10565 16.542622
## 16919       0 13.688893 20.55819 16.766331
## 16921       0 13.756667 21.01867 16.993065
## 16923       0 13.814921 21.49962 17.222865
## 16925       0 13.889533 22.00975 17.455773
## 16927       0 13.954464 22.51002 17.691830
## 16929       0 14.012368 22.99509 17.931080
## 16931       0 14.071917 23.51784 18.173565
## 16933       0 11.884939 14.34782 13.081450
## 16935       0  7.278795 12.16782  9.410003
## 16937       0  7.442278 12.22654  9.537256
## 16939       0  7.616903 12.27506  9.666230
## 16941       0  7.794476 12.33184  9.796948
## 16943       0  7.968878 12.37636  9.929433
## 16945       0  8.156875 12.43860 10.063711
## 16947       0  8.340492 12.49641 10.199804
## 16949       0  8.522020 12.56565 10.337738
## 16951       0  8.708284 12.62582 10.477537
## 16953       0  8.897316 12.69166 10.619226
## 16955       0  9.089560 12.74577 10.762832
## 16957       0  9.286074 12.80889 10.908379
## 16959       0  9.482701 12.88412 11.055895
## 16961       0  9.688510 12.95809 11.205406
## 16963       0  9.898005 13.03710 11.356939
## 16965       0 10.093741 13.13322 11.510520
## 16967       0 10.295404 13.21189 11.666179
## 16969       0 10.487528 13.31396 11.823943
## 16971       0 10.688480 13.41519 11.983840
## 16973       0 10.884731 13.51431 12.145900
## 16975       0 11.084090 13.63597 12.310151
## 16977       0 11.273297 13.76852 12.476623
## 16979       0 11.452446 13.92574 12.645346
## 16981       0 11.639194 14.08734 12.816351
## 16983       0 11.802069 14.25588 12.989669
## 16985       0 11.954662 14.44565 13.165331
## 16987       0 12.095975 14.67114 13.343368
## 16989       0 12.245470 14.88313 13.523812
## 16991       0 12.384249 15.12745 13.706697
## 16993       0 12.510622 15.39267 13.892055
## 16995       0 12.617263 15.66209 14.079920
## 16997       0 12.729714 15.96001 14.270325
## 16999       0 12.830995 16.26985 14.463305
## 17001       0 12.933504 16.58753 14.658895
## 17003       0 13.029273 16.92409 14.857129
## 17005       0 13.106783 17.27215 15.058045
## 17007       0 13.188133 17.64512 15.261677
## 17009       0 13.263707 18.01622 15.468064
## 17011       0 13.353466 18.42843 15.677241
## 17013       0 13.432372 18.82567 15.889247
## 17015       0 13.513453 19.23936 16.104120
## 17017       0 13.582972 19.67060 16.321898
## 17019       0 13.633575 20.10565 16.542622
## 17021       0 13.688893 20.55819 16.766331
## 17023       0 13.756667 21.01867 16.993065
## 17025       0 13.814921 21.49962 17.222865
## 17027       0 13.889533 22.00975 17.455773
## 17029       0 13.954464 22.51002 17.691830
## 17031       0 14.012368 22.99509 17.931080
## 17033       0 14.071917 23.51784 18.173565
## 17035       0 11.884939 14.34782 13.081450
## 17037       0  7.278795 12.16782  9.410003
## 17039       0  7.442278 12.22654  9.537256
## 17041       0  7.616903 12.27506  9.666230
## 17043       0  7.794476 12.33184  9.796948
## 17045       0  7.968878 12.37636  9.929433
## 17047       0  8.156875 12.43860 10.063711
## 17049       0  8.340492 12.49641 10.199804
## 17051       0  8.522020 12.56565 10.337738
## 17053       0  8.708284 12.62582 10.477537
## 17055       0  8.897316 12.69166 10.619226
## 17057       0  9.089560 12.74577 10.762832
## 17059       0  9.286074 12.80889 10.908379
## 17061       0  9.482701 12.88412 11.055895
## 17063       0  9.688510 12.95809 11.205406
## 17065       0  9.898005 13.03710 11.356939
## 17067       0 10.093741 13.13322 11.510520
## 17069       0 10.295404 13.21189 11.666179
## 17071       0 10.487528 13.31396 11.823943
## 17073       0 10.688480 13.41519 11.983840
## 17075       0 10.884731 13.51431 12.145900
## 17077       0 11.084090 13.63597 12.310151
## 17079       0 11.273297 13.76852 12.476623
## 17081       0 11.452446 13.92574 12.645346
## 17083       0 11.639194 14.08734 12.816351
## 17085       0 11.802069 14.25588 12.989669
## 17087       0 11.954662 14.44565 13.165331
## 17089       0 12.095975 14.67114 13.343368
## 17091       0 12.245470 14.88313 13.523812
## 17093       0 12.384249 15.12745 13.706697
## 17095       0 12.510622 15.39267 13.892055
## 17097       0 12.617263 15.66209 14.079920
## 17099       0 12.729714 15.96001 14.270325
## 17101       0 12.830995 16.26985 14.463305
## 17103       0 12.933504 16.58753 14.658895
## 17105       0 13.029273 16.92409 14.857129
## 17107       0 13.106783 17.27215 15.058045
## 17109       0 13.188133 17.64512 15.261677
## 17111       0 13.263707 18.01622 15.468064
## 17113       0 13.353466 18.42843 15.677241
## 17115       0 13.432372 18.82567 15.889247
## 17117       0 13.513453 19.23936 16.104120
## 17119       0 13.582972 19.67060 16.321898
## 17121       0 13.633575 20.10565 16.542622
## 17123       0 13.688893 20.55819 16.766331
## 17125       0 13.756667 21.01867 16.993065
## 17127       0 13.814921 21.49962 17.222865
## 17129       0 13.889533 22.00975 17.455773
## 17131       0 13.954464 22.51002 17.691830
## 17133       0 14.012368 22.99509 17.931080
## 17135       0 14.071917 23.51784 18.173565
## 17137       0 11.884939 14.34782 13.081450
## 17139       0  7.278795 12.16782  9.410003
## 17141       0  7.442278 12.22654  9.537256
## 17143       0  7.616903 12.27506  9.666230
## 17145       0  7.794476 12.33184  9.796948
## 17147       0  7.968878 12.37636  9.929433
## 17149       0  8.156875 12.43860 10.063711
## 17151       0  8.340492 12.49641 10.199804
## 17153       0  8.522020 12.56565 10.337738
## 17155       0  8.708284 12.62582 10.477537
## 17157       0  8.897316 12.69166 10.619226
## 17159       0  9.089560 12.74577 10.762832
## 17161       0  9.286074 12.80889 10.908379
## 17163       0  9.482701 12.88412 11.055895
## 17165       0  9.688510 12.95809 11.205406
## 17167       0  9.898005 13.03710 11.356939
## 17169       0 10.093741 13.13322 11.510520
## 17171       0 10.295404 13.21189 11.666179
## 17173       0 10.487528 13.31396 11.823943
## 17175       0 10.688480 13.41519 11.983840
## 17177       0 10.884731 13.51431 12.145900
## 17179       0 11.084090 13.63597 12.310151
## 17181       0 11.273297 13.76852 12.476623
## 17183       0 11.452446 13.92574 12.645346
## 17185       0 11.639194 14.08734 12.816351
## 17187       0 11.802069 14.25588 12.989669
## 17189       0 11.954662 14.44565 13.165331
## 17191       0 12.095975 14.67114 13.343368
## 17193       0 12.245470 14.88313 13.523812
## 17195       0 12.384249 15.12745 13.706697
## 17197       0 12.510622 15.39267 13.892055
## 17199       0 12.617263 15.66209 14.079920
## 17201       0 12.729714 15.96001 14.270325
## 17203       0 12.830995 16.26985 14.463305
## 17205       0 12.933504 16.58753 14.658895
## 17207       0 13.029273 16.92409 14.857129
## 17209       0 13.106783 17.27215 15.058045
## 17211       0 13.188133 17.64512 15.261677
## 17213       0 13.263707 18.01622 15.468064
## 17215       0 13.353466 18.42843 15.677241
## 17217       0 13.432372 18.82567 15.889247
## 17219       0 13.513453 19.23936 16.104120
## 17221       0 13.582972 19.67060 16.321898
## 17223       0 13.633575 20.10565 16.542622
## 17225       0 13.688893 20.55819 16.766331
## 17227       0 13.756667 21.01867 16.993065
## 17229       0 13.814921 21.49962 17.222865
## 17231       0 13.889533 22.00975 17.455773
## 17233       0 13.954464 22.51002 17.691830
## 17235       0 14.012368 22.99509 17.931080
## 17237       0 14.071917 23.51784 18.173565
## 17239       0 11.884939 14.34782 13.081450
## 17241       0  7.278795 12.16782  9.410003
## 17243       0  7.442278 12.22654  9.537256
## 17245       0  7.616903 12.27506  9.666230
## 17247       0  7.794476 12.33184  9.796948
## 17249       0  7.968878 12.37636  9.929433
## 17251       0  8.156875 12.43860 10.063711
## 17253       0  8.340492 12.49641 10.199804
## 17255       0  8.522020 12.56565 10.337738
## 17257       0  8.708284 12.62582 10.477537
## 17259       0  8.897316 12.69166 10.619226
## 17261       0  9.089560 12.74577 10.762832
## 17263       0  9.286074 12.80889 10.908379
## 17265       0  9.482701 12.88412 11.055895
## 17267       0  9.688510 12.95809 11.205406
## 17269       0  9.898005 13.03710 11.356939
## 17271       0 10.093741 13.13322 11.510520
## 17273       0 10.295404 13.21189 11.666179
## 17275       0 10.487528 13.31396 11.823943
## 17277       0 10.688480 13.41519 11.983840
## 17279       0 10.884731 13.51431 12.145900
## 17281       0 11.084090 13.63597 12.310151
## 17283       0 11.273297 13.76852 12.476623
## 17285       0 11.452446 13.92574 12.645346
## 17287       0 11.639194 14.08734 12.816351
## 17289       0 11.802069 14.25588 12.989669
## 17291       0 11.954662 14.44565 13.165331
## 17293       0 12.095975 14.67114 13.343368
## 17295       0 12.245470 14.88313 13.523812
## 17297       0 12.384249 15.12745 13.706697
## 17299       0 12.510622 15.39267 13.892055
## 17301       0 12.617263 15.66209 14.079920
## 17303       0 12.729714 15.96001 14.270325
## 17305       0 12.830995 16.26985 14.463305
## 17307       0 12.933504 16.58753 14.658895
## 17309       0 13.029273 16.92409 14.857129
## 17311       0 13.106783 17.27215 15.058045
## 17313       0 13.188133 17.64512 15.261677
## 17315       0 13.263707 18.01622 15.468064
## 17317       0 13.353466 18.42843 15.677241
## 17319       0 13.432372 18.82567 15.889247
## 17321       0 13.513453 19.23936 16.104120
## 17323       0 13.582972 19.67060 16.321898
## 17325       0 13.633575 20.10565 16.542622
## 17327       0 13.688893 20.55819 16.766331
## 17329       0 13.756667 21.01867 16.993065
## 17331       0 13.814921 21.49962 17.222865
## 17333       0 13.889533 22.00975 17.455773
## 17335       0 13.954464 22.51002 17.691830
## 17337       0 14.012368 22.99509 17.931080
## 17339       0 14.071917 23.51784 18.173565
## 17341       0 11.884939 14.34782 13.081450
## 17343       0  7.278795 12.16782  9.410003
## 17345       0  7.442278 12.22654  9.537256
## 17347       0  7.616903 12.27506  9.666230
## 17349       0  7.794476 12.33184  9.796948
## 17351       0  7.968878 12.37636  9.929433
## 17353       0  8.156875 12.43860 10.063711
## 17355       0  8.340492 12.49641 10.199804
## 17357       0  8.522020 12.56565 10.337738
## 17359       0  8.708284 12.62582 10.477537
## 17361       0  8.897316 12.69166 10.619226
## 17363       0  9.089560 12.74577 10.762832
## 17365       0  9.286074 12.80889 10.908379
## 17367       0  9.482701 12.88412 11.055895
## 17369       0  9.688510 12.95809 11.205406
## 17371       0  9.898005 13.03710 11.356939
## 17373       0 10.093741 13.13322 11.510520
## 17375       0 10.295404 13.21189 11.666179
## 17377       0 10.487528 13.31396 11.823943
## 17379       0 10.688480 13.41519 11.983840
## 17381       0 10.884731 13.51431 12.145900
## 17383       0 11.084090 13.63597 12.310151
## 17385       0 11.273297 13.76852 12.476623
## 17387       0 11.452446 13.92574 12.645346
## 17389       0 11.639194 14.08734 12.816351
## 17391       0 11.802069 14.25588 12.989669
## 17393       0 11.954662 14.44565 13.165331
## 17395       0 12.095975 14.67114 13.343368
## 17397       0 12.245470 14.88313 13.523812
## 17399       0 12.384249 15.12745 13.706697
## 17401       0 12.510622 15.39267 13.892055
## 17403       0 12.617263 15.66209 14.079920
## 17405       0 12.729714 15.96001 14.270325
## 17407       0 12.830995 16.26985 14.463305
## 17409       0 12.933504 16.58753 14.658895
## 17411       0 13.029273 16.92409 14.857129
## 17413       0 13.106783 17.27215 15.058045
## 17415       0 13.188133 17.64512 15.261677
## 17417       0 13.263707 18.01622 15.468064
## 17419       0 13.353466 18.42843 15.677241
## 17421       0 13.432372 18.82567 15.889247
## 17423       0 13.513453 19.23936 16.104120
## 17425       0 13.582972 19.67060 16.321898
## 17427       0 13.633575 20.10565 16.542622
## 17429       0 13.688893 20.55819 16.766331
## 17431       0 13.756667 21.01867 16.993065
## 17433       0 13.814921 21.49962 17.222865
## 17435       0 13.889533 22.00975 17.455773
## 17437       0 13.954464 22.51002 17.691830
## 17439       0 14.012368 22.99509 17.931080
## 17441       0 14.071917 23.51784 18.173565
## 17443       0 11.884939 14.34782 13.081450
## 17445       0  7.278795 12.16782  9.410003
## 17447       0  7.442278 12.22654  9.537256
## 17449       0  7.616903 12.27506  9.666230
## 17451       0  7.794476 12.33184  9.796948
## 17453       0  7.968878 12.37636  9.929433
## 17455       0  8.156875 12.43860 10.063711
## 17457       0  8.340492 12.49641 10.199804
## 17459       0  8.522020 12.56565 10.337738
## 17461       0  8.708284 12.62582 10.477537
## 17463       0  8.897316 12.69166 10.619226
## 17465       0  9.089560 12.74577 10.762832
## 17467       0  9.286074 12.80889 10.908379
## 17469       0  9.482701 12.88412 11.055895
## 17471       0  9.688510 12.95809 11.205406
## 17473       0  9.898005 13.03710 11.356939
## 17475       0 10.093741 13.13322 11.510520
## 17477       0 10.295404 13.21189 11.666179
## 17479       0 10.487528 13.31396 11.823943
## 17481       0 10.688480 13.41519 11.983840
## 17483       0 10.884731 13.51431 12.145900
## 17485       0 11.084090 13.63597 12.310151
## 17487       0 11.273297 13.76852 12.476623
## 17489       0 11.452446 13.92574 12.645346
## 17491       0 11.639194 14.08734 12.816351
## 17493       0 11.802069 14.25588 12.989669
## 17495       0 11.954662 14.44565 13.165331
## 17497       0 12.095975 14.67114 13.343368
## 17499       0 12.245470 14.88313 13.523812
## 17501       0 12.384249 15.12745 13.706697
## 17503       0 12.510622 15.39267 13.892055
## 17505       0 12.617263 15.66209 14.079920
## 17507       0 12.729714 15.96001 14.270325
## 17509       0 12.830995 16.26985 14.463305
## 17511       0 12.933504 16.58753 14.658895
## 17513       0 13.029273 16.92409 14.857129
## 17515       0 13.106783 17.27215 15.058045
## 17517       0 13.188133 17.64512 15.261677
## 17519       0 13.263707 18.01622 15.468064
## 17521       0 13.353466 18.42843 15.677241
## 17523       0 13.432372 18.82567 15.889247
## 17525       0 13.513453 19.23936 16.104120
## 17527       0 13.582972 19.67060 16.321898
## 17529       0 13.633575 20.10565 16.542622
## 17531       0 13.688893 20.55819 16.766331
## 17533       0 13.756667 21.01867 16.993065
## 17535       0 13.814921 21.49962 17.222865
## 17537       0 13.889533 22.00975 17.455773
## 17539       0 13.954464 22.51002 17.691830
## 17541       0 14.012368 22.99509 17.931080
## 17543       0 14.071917 23.51784 18.173565
## 17545       0 11.884939 14.34782 13.081450
## 17547       0  7.278795 12.16782  9.410003
## 17549       0  7.442278 12.22654  9.537256
## 17551       0  7.616903 12.27506  9.666230
## 17553       0  7.794476 12.33184  9.796948
## 17555       0  7.968878 12.37636  9.929433
## 17557       0  8.156875 12.43860 10.063711
## 17559       0  8.340492 12.49641 10.199804
## 17561       0  8.522020 12.56565 10.337738
## 17563       0  8.708284 12.62582 10.477537
## 17565       0  8.897316 12.69166 10.619226
## 17567       0  9.089560 12.74577 10.762832
## 17569       0  9.286074 12.80889 10.908379
## 17571       0  9.482701 12.88412 11.055895
## 17573       0  9.688510 12.95809 11.205406
## 17575       0  9.898005 13.03710 11.356939
## 17577       0 10.093741 13.13322 11.510520
## 17579       0 10.295404 13.21189 11.666179
## 17581       0 10.487528 13.31396 11.823943
## 17583       0 10.688480 13.41519 11.983840
## 17585       0 10.884731 13.51431 12.145900
## 17587       0 11.084090 13.63597 12.310151
## 17589       0 11.273297 13.76852 12.476623
## 17591       0 11.452446 13.92574 12.645346
## 17593       0 11.639194 14.08734 12.816351
## 17595       0 11.802069 14.25588 12.989669
## 17597       0 11.954662 14.44565 13.165331
## 17599       0 12.095975 14.67114 13.343368
## 17601       0 12.245470 14.88313 13.523812
## 17603       0 12.384249 15.12745 13.706697
## 17605       0 12.510622 15.39267 13.892055
## 17607       0 12.617263 15.66209 14.079920
## 17609       0 12.729714 15.96001 14.270325
## 17611       0 12.830995 16.26985 14.463305
## 17613       0 12.933504 16.58753 14.658895
## 17615       0 13.029273 16.92409 14.857129
## 17617       0 13.106783 17.27215 15.058045
## 17619       0 13.188133 17.64512 15.261677
## 17621       0 13.263707 18.01622 15.468064
## 17623       0 13.353466 18.42843 15.677241
## 17625       0 13.432372 18.82567 15.889247
## 17627       0 13.513453 19.23936 16.104120
## 17629       0 13.582972 19.67060 16.321898
## 17631       0 13.633575 20.10565 16.542622
## 17633       0 13.688893 20.55819 16.766331
## 17635       0 13.756667 21.01867 16.993065
## 17637       0 13.814921 21.49962 17.222865
## 17639       0 13.889533 22.00975 17.455773
## 17641       0 13.954464 22.51002 17.691830
## 17643       0 14.012368 22.99509 17.931080
## 17645       0 14.071917 23.51784 18.173565
## 17647       0 11.884939 14.34782 13.081450
## 17649       0  7.278795 12.16782  9.410003
## 17651       0  7.442278 12.22654  9.537256
## 17653       0  7.616903 12.27506  9.666230
## 17655       0  7.794476 12.33184  9.796948
## 17657       0  7.968878 12.37636  9.929433
## 17659       0  8.156875 12.43860 10.063711
## 17661       0  8.340492 12.49641 10.199804
## 17663       0  8.522020 12.56565 10.337738
## 17665       0  8.708284 12.62582 10.477537
## 17667       0  8.897316 12.69166 10.619226
## 17669       0  9.089560 12.74577 10.762832
## 17671       0  9.286074 12.80889 10.908379
## 17673       0  9.482701 12.88412 11.055895
## 17675       0  9.688510 12.95809 11.205406
## 17677       0  9.898005 13.03710 11.356939
## 17679       0 10.093741 13.13322 11.510520
## 17681       0 10.295404 13.21189 11.666179
## 17683       0 10.487528 13.31396 11.823943
## 17685       0 10.688480 13.41519 11.983840
## 17687       0 10.884731 13.51431 12.145900
## 17689       0 11.084090 13.63597 12.310151
## 17691       0 11.273297 13.76852 12.476623
## 17693       0 11.452446 13.92574 12.645346
## 17695       0 11.639194 14.08734 12.816351
## 17697       0 11.802069 14.25588 12.989669
## 17699       0 11.954662 14.44565 13.165331
## 17701       0 12.095975 14.67114 13.343368
## 17703       0 12.245470 14.88313 13.523812
## 17705       0 12.384249 15.12745 13.706697
## 17707       0 12.510622 15.39267 13.892055
## 17709       0 12.617263 15.66209 14.079920
## 17711       0 12.729714 15.96001 14.270325
## 17713       0 12.830995 16.26985 14.463305
## 17715       0 12.933504 16.58753 14.658895
## 17717       0 13.029273 16.92409 14.857129
## 17719       0 13.106783 17.27215 15.058045
## 17721       0 13.188133 17.64512 15.261677
## 17723       0 13.263707 18.01622 15.468064
## 17725       0 13.353466 18.42843 15.677241
## 17727       0 13.432372 18.82567 15.889247
## 17729       0 13.513453 19.23936 16.104120
## 17731       0 13.582972 19.67060 16.321898
## 17733       0 13.633575 20.10565 16.542622
## 17735       0 13.688893 20.55819 16.766331
## 17737       0 13.756667 21.01867 16.993065
## 17739       0 13.814921 21.49962 17.222865
## 17741       0 13.889533 22.00975 17.455773
## 17743       0 13.954464 22.51002 17.691830
## 17745       0 14.012368 22.99509 17.931080
## 17747       0 14.071917 23.51784 18.173565
## 17749       0 11.884939 14.34782 13.081450
## 17751       0  7.278795 12.16782  9.410003
## 17753       0  7.442278 12.22654  9.537256
## 17755       0  7.616903 12.27506  9.666230
## 17757       0  7.794476 12.33184  9.796948
## 17759       0  7.968878 12.37636  9.929433
## 17761       0  8.156875 12.43860 10.063711
## 17763       0  8.340492 12.49641 10.199804
## 17765       0  8.522020 12.56565 10.337738
## 17767       0  8.708284 12.62582 10.477537
## 17769       0  8.897316 12.69166 10.619226
## 17771       0  9.089560 12.74577 10.762832
## 17773       0  9.286074 12.80889 10.908379
## 17775       0  9.482701 12.88412 11.055895
## 17777       0  9.688510 12.95809 11.205406
## 17779       0  9.898005 13.03710 11.356939
## 17781       0 10.093741 13.13322 11.510520
## 17783       0 10.295404 13.21189 11.666179
## 17785       0 10.487528 13.31396 11.823943
## 17787       0 10.688480 13.41519 11.983840
## 17789       0 10.884731 13.51431 12.145900
## 17791       0 11.084090 13.63597 12.310151
## 17793       0 11.273297 13.76852 12.476623
## 17795       0 11.452446 13.92574 12.645346
## 17797       0 11.639194 14.08734 12.816351
## 17799       0 11.802069 14.25588 12.989669
## 17801       0 11.954662 14.44565 13.165331
## 17803       0 12.095975 14.67114 13.343368
## 17805       0 12.245470 14.88313 13.523812
## 17807       0 12.384249 15.12745 13.706697
## 17809       0 12.510622 15.39267 13.892055
## 17811       0 12.617263 15.66209 14.079920
## 17813       0 12.729714 15.96001 14.270325
## 17815       0 12.830995 16.26985 14.463305
## 17817       0 12.933504 16.58753 14.658895
## 17819       0 13.029273 16.92409 14.857129
## 17821       0 13.106783 17.27215 15.058045
## 17823       0 13.188133 17.64512 15.261677
## 17825       0 13.263707 18.01622 15.468064
## 17827       0 13.353466 18.42843 15.677241
## 17829       0 13.432372 18.82567 15.889247
## 17831       0 13.513453 19.23936 16.104120
## 17833       0 13.582972 19.67060 16.321898
## 17835       0 13.633575 20.10565 16.542622
## 17837       0 13.688893 20.55819 16.766331
## 17839       0 13.756667 21.01867 16.993065
## 17841       0 13.814921 21.49962 17.222865
## 17843       0 13.889533 22.00975 17.455773
## 17845       0 13.954464 22.51002 17.691830
## 17847       0 14.012368 22.99509 17.931080
## 17849       0 14.071917 23.51784 18.173565
## 17851       0 11.884939 14.34782 13.081450
## 17853       0  7.278795 12.16782  9.410003
## 17855       0  7.442278 12.22654  9.537256
## 17857       0  7.616903 12.27506  9.666230
## 17859       0  7.794476 12.33184  9.796948
## 17861       0  7.968878 12.37636  9.929433
## 17863       0  8.156875 12.43860 10.063711
## 17865       0  8.340492 12.49641 10.199804
## 17867       0  8.522020 12.56565 10.337738
## 17869       0  8.708284 12.62582 10.477537
## 17871       0  8.897316 12.69166 10.619226
## 17873       0  9.089560 12.74577 10.762832
## 17875       0  9.286074 12.80889 10.908379
## 17877       0  9.482701 12.88412 11.055895
## 17879       0  9.688510 12.95809 11.205406
## 17881       0  9.898005 13.03710 11.356939
## 17883       0 10.093741 13.13322 11.510520
## 17885       0 10.295404 13.21189 11.666179
## 17887       0 10.487528 13.31396 11.823943
## 17889       0 10.688480 13.41519 11.983840
## 17891       0 10.884731 13.51431 12.145900
## 17893       0 11.084090 13.63597 12.310151
## 17895       0 11.273297 13.76852 12.476623
## 17897       0 11.452446 13.92574 12.645346
## 17899       0 11.639194 14.08734 12.816351
## 17901       0 11.802069 14.25588 12.989669
## 17903       0 11.954662 14.44565 13.165331
## 17905       0 12.095975 14.67114 13.343368
## 17907       0 12.245470 14.88313 13.523812
## 17909       0 12.384249 15.12745 13.706697
## 17911       0 12.510622 15.39267 13.892055
## 17913       0 12.617263 15.66209 14.079920
## 17915       0 12.729714 15.96001 14.270325
## 17917       0 12.830995 16.26985 14.463305
## 17919       0 12.933504 16.58753 14.658895
## 17921       0 13.029273 16.92409 14.857129
## 17923       0 13.106783 17.27215 15.058045
## 17925       0 13.188133 17.64512 15.261677
## 17927       0 13.263707 18.01622 15.468064
## 17929       0 13.353466 18.42843 15.677241
## 17931       0 13.432372 18.82567 15.889247
## 17933       0 13.513453 19.23936 16.104120
## 17935       0 13.582972 19.67060 16.321898
## 17937       0 13.633575 20.10565 16.542622
## 17939       0 13.688893 20.55819 16.766331
## 17941       0 13.756667 21.01867 16.993065
## 17943       0 13.814921 21.49962 17.222865
## 17945       0 13.889533 22.00975 17.455773
## 17947       0 13.954464 22.51002 17.691830
## 17949       0 14.012368 22.99509 17.931080
## 17951       0 14.071917 23.51784 18.173565
## 17953       0 11.884939 14.34782 13.081450
## 17955       0  7.278795 12.16782  9.410003
## 17957       0  7.442278 12.22654  9.537256
## 17959       0  7.616903 12.27506  9.666230
## 17961       0  7.794476 12.33184  9.796948
## 17963       0  7.968878 12.37636  9.929433
## 17965       0  8.156875 12.43860 10.063711
## 17967       0  8.340492 12.49641 10.199804
## 17969       0  8.522020 12.56565 10.337738
## 17971       0  8.708284 12.62582 10.477537
## 17973       0  8.897316 12.69166 10.619226
## 17975       0  9.089560 12.74577 10.762832
## 17977       0  9.286074 12.80889 10.908379
## 17979       0  9.482701 12.88412 11.055895
## 17981       0  9.688510 12.95809 11.205406
## 17983       0  9.898005 13.03710 11.356939
## 17985       0 10.093741 13.13322 11.510520
## 17987       0 10.295404 13.21189 11.666179
## 17989       0 10.487528 13.31396 11.823943
## 17991       0 10.688480 13.41519 11.983840
## 17993       0 10.884731 13.51431 12.145900
## 17995       0 11.084090 13.63597 12.310151
## 17997       0 11.273297 13.76852 12.476623
## 17999       0 11.452446 13.92574 12.645346
## 18001       0 11.639194 14.08734 12.816351
## 18003       0 11.802069 14.25588 12.989669
## 18005       0 11.954662 14.44565 13.165331
## 18007       0 12.095975 14.67114 13.343368
## 18009       0 12.245470 14.88313 13.523812
## 18011       0 12.384249 15.12745 13.706697
## 18013       0 12.510622 15.39267 13.892055
## 18015       0 12.617263 15.66209 14.079920
## 18017       0 12.729714 15.96001 14.270325
## 18019       0 12.830995 16.26985 14.463305
## 18021       0 12.933504 16.58753 14.658895
## 18023       0 13.029273 16.92409 14.857129
## 18025       0 13.106783 17.27215 15.058045
## 18027       0 13.188133 17.64512 15.261677
## 18029       0 13.263707 18.01622 15.468064
## 18031       0 13.353466 18.42843 15.677241
## 18033       0 13.432372 18.82567 15.889247
## 18035       0 13.513453 19.23936 16.104120
## 18037       0 13.582972 19.67060 16.321898
## 18039       0 13.633575 20.10565 16.542622
## 18041       0 13.688893 20.55819 16.766331
## 18043       0 13.756667 21.01867 16.993065
## 18045       0 13.814921 21.49962 17.222865
## 18047       0 13.889533 22.00975 17.455773
## 18049       0 13.954464 22.51002 17.691830
## 18051       0 14.012368 22.99509 17.931080
## 18053       0 14.071917 23.51784 18.173565
## 18055       0 11.884939 14.34782 13.081450
## 18057       0  7.278795 12.16782  9.410003
## 18059       0  7.442278 12.22654  9.537256
## 18061       0  7.616903 12.27506  9.666230
## 18063       0  7.794476 12.33184  9.796948
## 18065       0  7.968878 12.37636  9.929433
## 18067       0  8.156875 12.43860 10.063711
## 18069       0  8.340492 12.49641 10.199804
## 18071       0  8.522020 12.56565 10.337738
## 18073       0  8.708284 12.62582 10.477537
## 18075       0  8.897316 12.69166 10.619226
## 18077       0  9.089560 12.74577 10.762832
## 18079       0  9.286074 12.80889 10.908379
## 18081       0  9.482701 12.88412 11.055895
## 18083       0  9.688510 12.95809 11.205406
## 18085       0  9.898005 13.03710 11.356939
## 18087       0 10.093741 13.13322 11.510520
## 18089       0 10.295404 13.21189 11.666179
## 18091       0 10.487528 13.31396 11.823943
## 18093       0 10.688480 13.41519 11.983840
## 18095       0 10.884731 13.51431 12.145900
## 18097       0 11.084090 13.63597 12.310151
## 18099       0 11.273297 13.76852 12.476623
## 18101       0 11.452446 13.92574 12.645346
## 18103       0 11.639194 14.08734 12.816351
## 18105       0 11.802069 14.25588 12.989669
## 18107       0 11.954662 14.44565 13.165331
## 18109       0 12.095975 14.67114 13.343368
## 18111       0 12.245470 14.88313 13.523812
## 18113       0 12.384249 15.12745 13.706697
## 18115       0 12.510622 15.39267 13.892055
## 18117       0 12.617263 15.66209 14.079920
## 18119       0 12.729714 15.96001 14.270325
## 18121       0 12.830995 16.26985 14.463305
## 18123       0 12.933504 16.58753 14.658895
## 18125       0 13.029273 16.92409 14.857129
## 18127       0 13.106783 17.27215 15.058045
## 18129       0 13.188133 17.64512 15.261677
## 18131       0 13.263707 18.01622 15.468064
## 18133       0 13.353466 18.42843 15.677241
## 18135       0 13.432372 18.82567 15.889247
## 18137       0 13.513453 19.23936 16.104120
## 18139       0 13.582972 19.67060 16.321898
## 18141       0 13.633575 20.10565 16.542622
## 18143       0 13.688893 20.55819 16.766331
## 18145       0 13.756667 21.01867 16.993065
## 18147       0 13.814921 21.49962 17.222865
## 18149       0 13.889533 22.00975 17.455773
## 18151       0 13.954464 22.51002 17.691830
## 18153       0 14.012368 22.99509 17.931080
## 18155       0 14.071917 23.51784 18.173565
## 18157       0 11.884939 14.34782 13.081450
## 18159       0  7.278795 12.16782  9.410003
## 18161       0  7.442278 12.22654  9.537256
## 18163       0  7.616903 12.27506  9.666230
## 18165       0  7.794476 12.33184  9.796948
## 18167       0  7.968878 12.37636  9.929433
## 18169       0  8.156875 12.43860 10.063711
## 18171       0  8.340492 12.49641 10.199804
## 18173       0  8.522020 12.56565 10.337738
## 18175       0  8.708284 12.62582 10.477537
## 18177       0  8.897316 12.69166 10.619226
## 18179       0  9.089560 12.74577 10.762832
## 18181       0  9.286074 12.80889 10.908379
## 18183       0  9.482701 12.88412 11.055895
## 18185       0  9.688510 12.95809 11.205406
## 18187       0  9.898005 13.03710 11.356939
## 18189       0 10.093741 13.13322 11.510520
## 18191       0 10.295404 13.21189 11.666179
## 18193       0 10.487528 13.31396 11.823943
## 18195       0 10.688480 13.41519 11.983840
## 18197       0 10.884731 13.51431 12.145900
## 18199       0 11.084090 13.63597 12.310151
## 18201       0 11.273297 13.76852 12.476623
## 18203       0 11.452446 13.92574 12.645346
## 18205       0 11.639194 14.08734 12.816351
## 18207       0 11.802069 14.25588 12.989669
## 18209       0 11.954662 14.44565 13.165331
## 18211       0 12.095975 14.67114 13.343368
## 18213       0 12.245470 14.88313 13.523812
## 18215       0 12.384249 15.12745 13.706697
## 18217       0 12.510622 15.39267 13.892055
## 18219       0 12.617263 15.66209 14.079920
## 18221       0 12.729714 15.96001 14.270325
## 18223       0 12.830995 16.26985 14.463305
## 18225       0 12.933504 16.58753 14.658895
## 18227       0 13.029273 16.92409 14.857129
## 18229       0 13.106783 17.27215 15.058045
## 18231       0 13.188133 17.64512 15.261677
## 18233       0 13.263707 18.01622 15.468064
## 18235       0 13.353466 18.42843 15.677241
## 18237       0 13.432372 18.82567 15.889247
## 18239       0 13.513453 19.23936 16.104120
## 18241       0 13.582972 19.67060 16.321898
## 18243       0 13.633575 20.10565 16.542622
## 18245       0 13.688893 20.55819 16.766331
## 18247       0 13.756667 21.01867 16.993065
## 18249       0 13.814921 21.49962 17.222865
## 18251       0 13.889533 22.00975 17.455773
## 18253       0 13.954464 22.51002 17.691830
## 18255       0 14.012368 22.99509 17.931080
## 18257       0 14.071917 23.51784 18.173565
## 18259       0 11.884939 14.34782 13.081450
## 18261       0  7.278795 12.16782  9.410003
## 18263       0  7.442278 12.22654  9.537256
## 18265       0  7.616903 12.27506  9.666230
## 18267       0  7.794476 12.33184  9.796948
## 18269       0  7.968878 12.37636  9.929433
## 18271       0  8.156875 12.43860 10.063711
## 18273       0  8.340492 12.49641 10.199804
## 18275       0  8.522020 12.56565 10.337738
## 18277       0  8.708284 12.62582 10.477537
## 18279       0  8.897316 12.69166 10.619226
## 18281       0  9.089560 12.74577 10.762832
## 18283       0  9.286074 12.80889 10.908379
## 18285       0  9.482701 12.88412 11.055895
## 18287       0  9.688510 12.95809 11.205406
## 18289       0  9.898005 13.03710 11.356939
## 18291       0 10.093741 13.13322 11.510520
## 18293       0 10.295404 13.21189 11.666179
## 18295       0 10.487528 13.31396 11.823943
## 18297       0 10.688480 13.41519 11.983840
## 18299       0 10.884731 13.51431 12.145900
## 18301       0 11.084090 13.63597 12.310151
## 18303       0 11.273297 13.76852 12.476623
## 18305       0 11.452446 13.92574 12.645346
## 18307       0 11.639194 14.08734 12.816351
## 18309       0 11.802069 14.25588 12.989669
## 18311       0 11.954662 14.44565 13.165331
## 18313       0 12.095975 14.67114 13.343368
## 18315       0 12.245470 14.88313 13.523812
## 18317       0 12.384249 15.12745 13.706697
## 18319       0 12.510622 15.39267 13.892055
## 18321       0 12.617263 15.66209 14.079920
## 18323       0 12.729714 15.96001 14.270325
## 18325       0 12.830995 16.26985 14.463305
## 18327       0 12.933504 16.58753 14.658895
## 18329       0 13.029273 16.92409 14.857129
## 18331       0 13.106783 17.27215 15.058045
## 18333       0 13.188133 17.64512 15.261677
## 18335       0 13.263707 18.01622 15.468064
## 18337       0 13.353466 18.42843 15.677241
## 18339       0 13.432372 18.82567 15.889247
## 18341       0 13.513453 19.23936 16.104120
## 18343       0 13.582972 19.67060 16.321898
## 18345       0 13.633575 20.10565 16.542622
## 18347       0 13.688893 20.55819 16.766331
## 18349       0 13.756667 21.01867 16.993065
## 18351       0 13.814921 21.49962 17.222865
## 18353       0 13.889533 22.00975 17.455773
## 18355       0 13.954464 22.51002 17.691830
## 18357       0 14.012368 22.99509 17.931080
## 18359       0 14.071917 23.51784 18.173565
## 18361       0 11.884939 14.34782 13.081450
## 18363       0  7.278795 12.16782  9.410003
## 18365       0  7.442278 12.22654  9.537256
## 18367       0  7.616903 12.27506  9.666230
## 18369       0  7.794476 12.33184  9.796948
## 18371       0  7.968878 12.37636  9.929433
## 18373       0  8.156875 12.43860 10.063711
## 18375       0  8.340492 12.49641 10.199804
## 18377       0  8.522020 12.56565 10.337738
## 18379       0  8.708284 12.62582 10.477537
## 18381       0  8.897316 12.69166 10.619226
## 18383       0  9.089560 12.74577 10.762832
## 18385       0  9.286074 12.80889 10.908379
## 18387       0  9.482701 12.88412 11.055895
## 18389       0  9.688510 12.95809 11.205406
## 18391       0  9.898005 13.03710 11.356939
## 18393       0 10.093741 13.13322 11.510520
## 18395       0 10.295404 13.21189 11.666179
## 18397       0 10.487528 13.31396 11.823943
## 18399       0 10.688480 13.41519 11.983840
## 18401       0 10.884731 13.51431 12.145900
## 18403       0 11.084090 13.63597 12.310151
## 18405       0 11.273297 13.76852 12.476623
## 18407       0 11.452446 13.92574 12.645346
## 18409       0 11.639194 14.08734 12.816351
## 18411       0 11.802069 14.25588 12.989669
## 18413       0 11.954662 14.44565 13.165331
## 18415       0 12.095975 14.67114 13.343368
## 18417       0 12.245470 14.88313 13.523812
## 18419       0 12.384249 15.12745 13.706697
## 18421       0 12.510622 15.39267 13.892055
## 18423       0 12.617263 15.66209 14.079920
## 18425       0 12.729714 15.96001 14.270325
## 18427       0 12.830995 16.26985 14.463305
## 18429       0 12.933504 16.58753 14.658895
## 18431       0 13.029273 16.92409 14.857129
## 18433       0 13.106783 17.27215 15.058045
## 18435       0 13.188133 17.64512 15.261677
## 18437       0 13.263707 18.01622 15.468064
## 18439       0 13.353466 18.42843 15.677241
## 18441       0 13.432372 18.82567 15.889247
## 18443       0 13.513453 19.23936 16.104120
## 18445       0 13.582972 19.67060 16.321898
## 18447       0 13.633575 20.10565 16.542622
## 18449       0 13.688893 20.55819 16.766331
## 18451       0 13.756667 21.01867 16.993065
## 18453       0 13.814921 21.49962 17.222865
## 18455       0 13.889533 22.00975 17.455773
## 18457       0 13.954464 22.51002 17.691830
## 18459       0 14.012368 22.99509 17.931080
## 18461       0 14.071917 23.51784 18.173565
## 18463       0 11.884939 14.34782 13.081450
## 18465       0  7.278795 12.16782  9.410003
## 18467       0  7.442278 12.22654  9.537256
## 18469       0  7.616903 12.27506  9.666230
## 18471       0  7.794476 12.33184  9.796948
## 18473       0  7.968878 12.37636  9.929433
## 18475       0  8.156875 12.43860 10.063711
## 18477       0  8.340492 12.49641 10.199804
## 18479       0  8.522020 12.56565 10.337738
## 18481       0  8.708284 12.62582 10.477537
## 18483       0  8.897316 12.69166 10.619226
## 18485       0  9.089560 12.74577 10.762832
## 18487       0  9.286074 12.80889 10.908379
## 18489       0  9.482701 12.88412 11.055895
## 18491       0  9.688510 12.95809 11.205406
## 18493       0  9.898005 13.03710 11.356939
## 18495       0 10.093741 13.13322 11.510520
## 18497       0 10.295404 13.21189 11.666179
## 18499       0 10.487528 13.31396 11.823943
## 18501       0 10.688480 13.41519 11.983840
## 18503       0 10.884731 13.51431 12.145900
## 18505       0 11.084090 13.63597 12.310151
## 18507       0 11.273297 13.76852 12.476623
## 18509       0 11.452446 13.92574 12.645346
## 18511       0 11.639194 14.08734 12.816351
## 18513       0 11.802069 14.25588 12.989669
## 18515       0 11.954662 14.44565 13.165331
## 18517       0 12.095975 14.67114 13.343368
## 18519       0 12.245470 14.88313 13.523812
## 18521       0 12.384249 15.12745 13.706697
## 18523       0 12.510622 15.39267 13.892055
## 18525       0 12.617263 15.66209 14.079920
## 18527       0 12.729714 15.96001 14.270325
## 18529       0 12.830995 16.26985 14.463305
## 18531       0 12.933504 16.58753 14.658895
## 18533       0 13.029273 16.92409 14.857129
## 18535       0 13.106783 17.27215 15.058045
## 18537       0 13.188133 17.64512 15.261677
## 18539       0 13.263707 18.01622 15.468064
## 18541       0 13.353466 18.42843 15.677241
## 18543       0 13.432372 18.82567 15.889247
## 18545       0 13.513453 19.23936 16.104120
## 18547       0 13.582972 19.67060 16.321898
## 18549       0 13.633575 20.10565 16.542622
## 18551       0 13.688893 20.55819 16.766331
## 18553       0 13.756667 21.01867 16.993065
## 18555       0 13.814921 21.49962 17.222865
## 18557       0 13.889533 22.00975 17.455773
## 18559       0 13.954464 22.51002 17.691830
## 18561       0 14.012368 22.99509 17.931080
## 18563       0 14.071917 23.51784 18.173565
## 18565       0 11.884939 14.34782 13.081450
## 18567       0  7.278795 12.16782  9.410003
## 18569       0  7.442278 12.22654  9.537256
## 18571       0  7.616903 12.27506  9.666230
## 18573       0  7.794476 12.33184  9.796948
## 18575       0  7.968878 12.37636  9.929433
## 18577       0  8.156875 12.43860 10.063711
## 18579       0  8.340492 12.49641 10.199804
## 18581       0  8.522020 12.56565 10.337738
## 18583       0  8.708284 12.62582 10.477537
## 18585       0  8.897316 12.69166 10.619226
## 18587       0  9.089560 12.74577 10.762832
## 18589       0  9.286074 12.80889 10.908379
## 18591       0  9.482701 12.88412 11.055895
## 18593       0  9.688510 12.95809 11.205406
## 18595       0  9.898005 13.03710 11.356939
## 18597       0 10.093741 13.13322 11.510520
## 18599       0 10.295404 13.21189 11.666179
## 18601       0 10.487528 13.31396 11.823943
## 18603       0 10.688480 13.41519 11.983840
## 18605       0 10.884731 13.51431 12.145900
## 18607       0 11.084090 13.63597 12.310151
## 18609       0 11.273297 13.76852 12.476623
## 18611       0 11.452446 13.92574 12.645346
## 18613       0 11.639194 14.08734 12.816351
## 18615       0 11.802069 14.25588 12.989669
## 18617       0 11.954662 14.44565 13.165331
## 18619       0 12.095975 14.67114 13.343368
## 18621       0 12.245470 14.88313 13.523812
## 18623       0 12.384249 15.12745 13.706697
## 18625       0 12.510622 15.39267 13.892055
## 18627       0 12.617263 15.66209 14.079920
## 18629       0 12.729714 15.96001 14.270325
## 18631       0 12.830995 16.26985 14.463305
## 18633       0 12.933504 16.58753 14.658895
## 18635       0 13.029273 16.92409 14.857129
## 18637       0 13.106783 17.27215 15.058045
## 18639       0 13.188133 17.64512 15.261677
## 18641       0 13.263707 18.01622 15.468064
## 18643       0 13.353466 18.42843 15.677241
## 18645       0 13.432372 18.82567 15.889247
## 18647       0 13.513453 19.23936 16.104120
## 18649       0 13.582972 19.67060 16.321898
## 18651       0 13.633575 20.10565 16.542622
## 18653       0 13.688893 20.55819 16.766331
## 18655       0 13.756667 21.01867 16.993065
## 18657       0 13.814921 21.49962 17.222865
## 18659       0 13.889533 22.00975 17.455773
## 18661       0 13.954464 22.51002 17.691830
## 18663       0 14.012368 22.99509 17.931080
## 18665       0 14.071917 23.51784 18.173565
## 18667       0 11.884939 14.34782 13.081450
## 18669       0  7.278795 12.16782  9.410003
## 18671       0  7.442278 12.22654  9.537256
## 18673       0  7.616903 12.27506  9.666230
## 18675       0  7.794476 12.33184  9.796948
## 18677       0  7.968878 12.37636  9.929433
## 18679       0  8.156875 12.43860 10.063711
## 18681       0  8.340492 12.49641 10.199804
## 18683       0  8.522020 12.56565 10.337738
## 18685       0  8.708284 12.62582 10.477537
## 18687       0  8.897316 12.69166 10.619226
## 18689       0  9.089560 12.74577 10.762832
## 18691       0  9.286074 12.80889 10.908379
## 18693       0  9.482701 12.88412 11.055895
## 18695       0  9.688510 12.95809 11.205406
## 18697       0  9.898005 13.03710 11.356939
## 18699       0 10.093741 13.13322 11.510520
## 18701       0 10.295404 13.21189 11.666179
## 18703       0 10.487528 13.31396 11.823943
## 18705       0 10.688480 13.41519 11.983840
## 18707       0 10.884731 13.51431 12.145900
## 18709       0 11.084090 13.63597 12.310151
## 18711       0 11.273297 13.76852 12.476623
## 18713       0 11.452446 13.92574 12.645346
## 18715       0 11.639194 14.08734 12.816351
## 18717       0 11.802069 14.25588 12.989669
## 18719       0 11.954662 14.44565 13.165331
## 18721       0 12.095975 14.67114 13.343368
## 18723       0 12.245470 14.88313 13.523812
## 18725       0 12.384249 15.12745 13.706697
## 18727       0 12.510622 15.39267 13.892055
## 18729       0 12.617263 15.66209 14.079920
## 18731       0 12.729714 15.96001 14.270325
## 18733       0 12.830995 16.26985 14.463305
## 18735       0 12.933504 16.58753 14.658895
## 18737       0 13.029273 16.92409 14.857129
## 18739       0 13.106783 17.27215 15.058045
## 18741       0 13.188133 17.64512 15.261677
## 18743       0 13.263707 18.01622 15.468064
## 18745       0 13.353466 18.42843 15.677241
## 18747       0 13.432372 18.82567 15.889247
## 18749       0 13.513453 19.23936 16.104120
## 18751       0 13.582972 19.67060 16.321898
## 18753       0 13.633575 20.10565 16.542622
## 18755       0 13.688893 20.55819 16.766331
## 18757       0 13.756667 21.01867 16.993065
## 18759       0 13.814921 21.49962 17.222865
## 18761       0 13.889533 22.00975 17.455773
## 18763       0 13.954464 22.51002 17.691830
## 18765       0 14.012368 22.99509 17.931080
## 18767       0 14.071917 23.51784 18.173565
## 18769       0 11.884939 14.34782 13.081450
## 18771       0  7.278795 12.16782  9.410003
## 18773       0  7.442278 12.22654  9.537256
## 18775       0  7.616903 12.27506  9.666230
## 18777       0  7.794476 12.33184  9.796948
## 18779       0  7.968878 12.37636  9.929433
## 18781       0  8.156875 12.43860 10.063711
## 18783       0  8.340492 12.49641 10.199804
## 18785       0  8.522020 12.56565 10.337738
## 18787       0  8.708284 12.62582 10.477537
## 18789       0  8.897316 12.69166 10.619226
## 18791       0  9.089560 12.74577 10.762832
## 18793       0  9.286074 12.80889 10.908379
## 18795       0  9.482701 12.88412 11.055895
## 18797       0  9.688510 12.95809 11.205406
## 18799       0  9.898005 13.03710 11.356939
## 18801       0 10.093741 13.13322 11.510520
## 18803       0 10.295404 13.21189 11.666179
## 18805       0 10.487528 13.31396 11.823943
## 18807       0 10.688480 13.41519 11.983840
## 18809       0 10.884731 13.51431 12.145900
## 18811       0 11.084090 13.63597 12.310151
## 18813       0 11.273297 13.76852 12.476623
## 18815       0 11.452446 13.92574 12.645346
## 18817       0 11.639194 14.08734 12.816351
## 18819       0 11.802069 14.25588 12.989669
## 18821       0 11.954662 14.44565 13.165331
## 18823       0 12.095975 14.67114 13.343368
## 18825       0 12.245470 14.88313 13.523812
## 18827       0 12.384249 15.12745 13.706697
## 18829       0 12.510622 15.39267 13.892055
## 18831       0 12.617263 15.66209 14.079920
## 18833       0 12.729714 15.96001 14.270325
## 18835       0 12.830995 16.26985 14.463305
## 18837       0 12.933504 16.58753 14.658895
## 18839       0 13.029273 16.92409 14.857129
## 18841       0 13.106783 17.27215 15.058045
## 18843       0 13.188133 17.64512 15.261677
## 18845       0 13.263707 18.01622 15.468064
## 18847       0 13.353466 18.42843 15.677241
## 18849       0 13.432372 18.82567 15.889247
## 18851       0 13.513453 19.23936 16.104120
## 18853       0 13.582972 19.67060 16.321898
## 18855       0 13.633575 20.10565 16.542622
## 18857       0 13.688893 20.55819 16.766331
## 18859       0 13.756667 21.01867 16.993065
## 18861       0 13.814921 21.49962 17.222865
## 18863       0 13.889533 22.00975 17.455773
## 18865       0 13.954464 22.51002 17.691830
## 18867       0 14.012368 22.99509 17.931080
## 18869       0 14.071917 23.51784 18.173565
## 18871       0 11.884939 14.34782 13.081450
## 18873       0  7.278795 12.16782  9.410003
## 18875       0  7.442278 12.22654  9.537256
## 18877       0  7.616903 12.27506  9.666230
## 18879       0  7.794476 12.33184  9.796948
## 18881       0  7.968878 12.37636  9.929433
## 18883       0  8.156875 12.43860 10.063711
## 18885       0  8.340492 12.49641 10.199804
## 18887       0  8.522020 12.56565 10.337738
## 18889       0  8.708284 12.62582 10.477537
## 18891       0  8.897316 12.69166 10.619226
## 18893       0  9.089560 12.74577 10.762832
## 18895       0  9.286074 12.80889 10.908379
## 18897       0  9.482701 12.88412 11.055895
## 18899       0  9.688510 12.95809 11.205406
## 18901       0  9.898005 13.03710 11.356939
## 18903       0 10.093741 13.13322 11.510520
## 18905       0 10.295404 13.21189 11.666179
## 18907       0 10.487528 13.31396 11.823943
## 18909       0 10.688480 13.41519 11.983840
## 18911       0 10.884731 13.51431 12.145900
## 18913       0 11.084090 13.63597 12.310151
## 18915       0 11.273297 13.76852 12.476623
## 18917       0 11.452446 13.92574 12.645346
## 18919       0 11.639194 14.08734 12.816351
## 18921       0 11.802069 14.25588 12.989669
## 18923       0 11.954662 14.44565 13.165331
## 18925       0 12.095975 14.67114 13.343368
## 18927       0 12.245470 14.88313 13.523812
## 18929       0 12.384249 15.12745 13.706697
## 18931       0 12.510622 15.39267 13.892055
## 18933       0 12.617263 15.66209 14.079920
## 18935       0 12.729714 15.96001 14.270325
## 18937       0 12.830995 16.26985 14.463305
## 18939       0 12.933504 16.58753 14.658895
## 18941       0 13.029273 16.92409 14.857129
## 18943       0 13.106783 17.27215 15.058045
## 18945       0 13.188133 17.64512 15.261677
## 18947       0 13.263707 18.01622 15.468064
## 18949       0 13.353466 18.42843 15.677241
## 18951       0 13.432372 18.82567 15.889247
## 18953       0 13.513453 19.23936 16.104120
## 18955       0 13.582972 19.67060 16.321898
## 18957       0 13.633575 20.10565 16.542622
## 18959       0 13.688893 20.55819 16.766331
## 18961       0 13.756667 21.01867 16.993065
## 18963       0 13.814921 21.49962 17.222865
## 18965       0 13.889533 22.00975 17.455773
## 18967       0 13.954464 22.51002 17.691830
## 18969       0 14.012368 22.99509 17.931080
## 18971       0 14.071917 23.51784 18.173565
## 18973       0 11.884939 14.34782 13.081450
## 18975       0  7.278795 12.16782  9.410003
## 18977       0  7.442278 12.22654  9.537256
## 18979       0  7.616903 12.27506  9.666230
## 18981       0  7.794476 12.33184  9.796948
## 18983       0  7.968878 12.37636  9.929433
## 18985       0  8.156875 12.43860 10.063711
## 18987       0  8.340492 12.49641 10.199804
## 18989       0  8.522020 12.56565 10.337738
## 18991       0  8.708284 12.62582 10.477537
## 18993       0  8.897316 12.69166 10.619226
## 18995       0  9.089560 12.74577 10.762832
## 18997       0  9.286074 12.80889 10.908379
## 18999       0  9.482701 12.88412 11.055895
## 19001       0  9.688510 12.95809 11.205406
## 19003       0  9.898005 13.03710 11.356939
## 19005       0 10.093741 13.13322 11.510520
## 19007       0 10.295404 13.21189 11.666179
## 19009       0 10.487528 13.31396 11.823943
## 19011       0 10.688480 13.41519 11.983840
## 19013       0 10.884731 13.51431 12.145900
## 19015       0 11.084090 13.63597 12.310151
## 19017       0 11.273297 13.76852 12.476623
## 19019       0 11.452446 13.92574 12.645346
## 19021       0 11.639194 14.08734 12.816351
## 19023       0 11.802069 14.25588 12.989669
## 19025       0 11.954662 14.44565 13.165331
## 19027       0 12.095975 14.67114 13.343368
## 19029       0 12.245470 14.88313 13.523812
## 19031       0 12.384249 15.12745 13.706697
## 19033       0 12.510622 15.39267 13.892055
## 19035       0 12.617263 15.66209 14.079920
## 19037       0 12.729714 15.96001 14.270325
## 19039       0 12.830995 16.26985 14.463305
## 19041       0 12.933504 16.58753 14.658895
## 19043       0 13.029273 16.92409 14.857129
## 19045       0 13.106783 17.27215 15.058045
## 19047       0 13.188133 17.64512 15.261677
## 19049       0 13.263707 18.01622 15.468064
## 19051       0 13.353466 18.42843 15.677241
## 19053       0 13.432372 18.82567 15.889247
## 19055       0 13.513453 19.23936 16.104120
## 19057       0 13.582972 19.67060 16.321898
## 19059       0 13.633575 20.10565 16.542622
## 19061       0 13.688893 20.55819 16.766331
## 19063       0 13.756667 21.01867 16.993065
## 19065       0 13.814921 21.49962 17.222865
## 19067       0 13.889533 22.00975 17.455773
## 19069       0 13.954464 22.51002 17.691830
## 19071       0 14.012368 22.99509 17.931080
## 19073       0 14.071917 23.51784 18.173565
## 19075       0 11.884939 14.34782 13.081450
## 19077       0  7.278795 12.16782  9.410003
## 19079       0  7.442278 12.22654  9.537256
## 19081       0  7.616903 12.27506  9.666230
## 19083       0  7.794476 12.33184  9.796948
## 19085       0  7.968878 12.37636  9.929433
## 19087       0  8.156875 12.43860 10.063711
## 19089       0  8.340492 12.49641 10.199804
## 19091       0  8.522020 12.56565 10.337738
## 19093       0  8.708284 12.62582 10.477537
## 19095       0  8.897316 12.69166 10.619226
## 19097       0  9.089560 12.74577 10.762832
## 19099       0  9.286074 12.80889 10.908379
## 19101       0  9.482701 12.88412 11.055895
## 19103       0  9.688510 12.95809 11.205406
## 19105       0  9.898005 13.03710 11.356939
## 19107       0 10.093741 13.13322 11.510520
## 19109       0 10.295404 13.21189 11.666179
## 19111       0 10.487528 13.31396 11.823943
## 19113       0 10.688480 13.41519 11.983840
## 19115       0 10.884731 13.51431 12.145900
## 19117       0 11.084090 13.63597 12.310151
## 19119       0 11.273297 13.76852 12.476623
## 19121       0 11.452446 13.92574 12.645346
## 19123       0 11.639194 14.08734 12.816351
## 19125       0 11.802069 14.25588 12.989669
## 19127       0 11.954662 14.44565 13.165331
## 19129       0 12.095975 14.67114 13.343368
## 19131       0 12.245470 14.88313 13.523812
## 19133       0 12.384249 15.12745 13.706697
## 19135       0 12.510622 15.39267 13.892055
## 19137       0 12.617263 15.66209 14.079920
## 19139       0 12.729714 15.96001 14.270325
## 19141       0 12.830995 16.26985 14.463305
## 19143       0 12.933504 16.58753 14.658895
## 19145       0 13.029273 16.92409 14.857129
## 19147       0 13.106783 17.27215 15.058045
## 19149       0 13.188133 17.64512 15.261677
## 19151       0 13.263707 18.01622 15.468064
## 19153       0 13.353466 18.42843 15.677241
## 19155       0 13.432372 18.82567 15.889247
## 19157       0 13.513453 19.23936 16.104120
## 19159       0 13.582972 19.67060 16.321898
## 19161       0 13.633575 20.10565 16.542622
## 19163       0 13.688893 20.55819 16.766331
## 19165       0 13.756667 21.01867 16.993065
## 19167       0 13.814921 21.49962 17.222865
## 19169       0 13.889533 22.00975 17.455773
## 19171       0 13.954464 22.51002 17.691830
## 19173       0 14.012368 22.99509 17.931080
## 19175       0 14.071917 23.51784 18.173565
## 19177       0 11.884939 14.34782 13.081450
## 19179       0  7.278795 12.16782  9.410003
## 19181       0  7.442278 12.22654  9.537256
## 19183       0  7.616903 12.27506  9.666230
## 19185       0  7.794476 12.33184  9.796948
## 19187       0  7.968878 12.37636  9.929433
## 19189       0  8.156875 12.43860 10.063711
## 19191       0  8.340492 12.49641 10.199804
## 19193       0  8.522020 12.56565 10.337738
## 19195       0  8.708284 12.62582 10.477537
## 19197       0  8.897316 12.69166 10.619226
## 19199       0  9.089560 12.74577 10.762832
## 19201       0  9.286074 12.80889 10.908379
## 19203       0  9.482701 12.88412 11.055895
## 19205       0  9.688510 12.95809 11.205406
## 19207       0  9.898005 13.03710 11.356939
## 19209       0 10.093741 13.13322 11.510520
## 19211       0 10.295404 13.21189 11.666179
## 19213       0 10.487528 13.31396 11.823943
## 19215       0 10.688480 13.41519 11.983840
## 19217       0 10.884731 13.51431 12.145900
## 19219       0 11.084090 13.63597 12.310151
## 19221       0 11.273297 13.76852 12.476623
## 19223       0 11.452446 13.92574 12.645346
## 19225       0 11.639194 14.08734 12.816351
## 19227       0 11.802069 14.25588 12.989669
## 19229       0 11.954662 14.44565 13.165331
## 19231       0 12.095975 14.67114 13.343368
## 19233       0 12.245470 14.88313 13.523812
## 19235       0 12.384249 15.12745 13.706697
## 19237       0 12.510622 15.39267 13.892055
## 19239       0 12.617263 15.66209 14.079920
## 19241       0 12.729714 15.96001 14.270325
## 19243       0 12.830995 16.26985 14.463305
## 19245       0 12.933504 16.58753 14.658895
## 19247       0 13.029273 16.92409 14.857129
## 19249       0 13.106783 17.27215 15.058045
## 19251       0 13.188133 17.64512 15.261677
## 19253       0 13.263707 18.01622 15.468064
## 19255       0 13.353466 18.42843 15.677241
## 19257       0 13.432372 18.82567 15.889247
## 19259       0 13.513453 19.23936 16.104120
## 19261       0 13.582972 19.67060 16.321898
## 19263       0 13.633575 20.10565 16.542622
## 19265       0 13.688893 20.55819 16.766331
## 19267       0 13.756667 21.01867 16.993065
## 19269       0 13.814921 21.49962 17.222865
## 19271       0 13.889533 22.00975 17.455773
## 19273       0 13.954464 22.51002 17.691830
## 19275       0 14.012368 22.99509 17.931080
## 19277       0 14.071917 23.51784 18.173565
## 19279       0 11.884939 14.34782 13.081450
## 19281       0  7.278795 12.16782  9.410003
## 19283       0  7.442278 12.22654  9.537256
## 19285       0  7.616903 12.27506  9.666230
## 19287       0  7.794476 12.33184  9.796948
## 19289       0  7.968878 12.37636  9.929433
## 19291       0  8.156875 12.43860 10.063711
## 19293       0  8.340492 12.49641 10.199804
## 19295       0  8.522020 12.56565 10.337738
## 19297       0  8.708284 12.62582 10.477537
## 19299       0  8.897316 12.69166 10.619226
## 19301       0  9.089560 12.74577 10.762832
## 19303       0  9.286074 12.80889 10.908379
## 19305       0  9.482701 12.88412 11.055895
## 19307       0  9.688510 12.95809 11.205406
## 19309       0  9.898005 13.03710 11.356939
## 19311       0 10.093741 13.13322 11.510520
## 19313       0 10.295404 13.21189 11.666179
## 19315       0 10.487528 13.31396 11.823943
## 19317       0 10.688480 13.41519 11.983840
## 19319       0 10.884731 13.51431 12.145900
## 19321       0 11.084090 13.63597 12.310151
## 19323       0 11.273297 13.76852 12.476623
## 19325       0 11.452446 13.92574 12.645346
## 19327       0 11.639194 14.08734 12.816351
## 19329       0 11.802069 14.25588 12.989669
## 19331       0 11.954662 14.44565 13.165331
## 19333       0 12.095975 14.67114 13.343368
## 19335       0 12.245470 14.88313 13.523812
## 19337       0 12.384249 15.12745 13.706697
## 19339       0 12.510622 15.39267 13.892055
## 19341       0 12.617263 15.66209 14.079920
## 19343       0 12.729714 15.96001 14.270325
## 19345       0 12.830995 16.26985 14.463305
## 19347       0 12.933504 16.58753 14.658895
## 19349       0 13.029273 16.92409 14.857129
## 19351       0 13.106783 17.27215 15.058045
## 19353       0 13.188133 17.64512 15.261677
## 19355       0 13.263707 18.01622 15.468064
## 19357       0 13.353466 18.42843 15.677241
## 19359       0 13.432372 18.82567 15.889247
## 19361       0 13.513453 19.23936 16.104120
## 19363       0 13.582972 19.67060 16.321898
## 19365       0 13.633575 20.10565 16.542622
## 19367       0 13.688893 20.55819 16.766331
## 19369       0 13.756667 21.01867 16.993065
## 19371       0 13.814921 21.49962 17.222865
## 19373       0 13.889533 22.00975 17.455773
## 19375       0 13.954464 22.51002 17.691830
## 19377       0 14.012368 22.99509 17.931080
## 19379       0 14.071917 23.51784 18.173565
## 19381       0 11.884939 14.34782 13.081450
## 19383       0  7.278795 12.16782  9.410003
## 19385       0  7.442278 12.22654  9.537256
## 19387       0  7.616903 12.27506  9.666230
## 19389       0  7.794476 12.33184  9.796948
## 19391       0  7.968878 12.37636  9.929433
## 19393       0  8.156875 12.43860 10.063711
## 19395       0  8.340492 12.49641 10.199804
## 19397       0  8.522020 12.56565 10.337738
## 19399       0  8.708284 12.62582 10.477537
## 19401       0  8.897316 12.69166 10.619226
## 19403       0  9.089560 12.74577 10.762832
## 19405       0  9.286074 12.80889 10.908379
## 19407       0  9.482701 12.88412 11.055895
## 19409       0  9.688510 12.95809 11.205406
## 19411       0  9.898005 13.03710 11.356939
## 19413       0 10.093741 13.13322 11.510520
## 19415       0 10.295404 13.21189 11.666179
## 19417       0 10.487528 13.31396 11.823943
## 19419       0 10.688480 13.41519 11.983840
## 19421       0 10.884731 13.51431 12.145900
## 19423       0 11.084090 13.63597 12.310151
## 19425       0 11.273297 13.76852 12.476623
## 19427       0 11.452446 13.92574 12.645346
## 19429       0 11.639194 14.08734 12.816351
## 19431       0 11.802069 14.25588 12.989669
## 19433       0 11.954662 14.44565 13.165331
## 19435       0 12.095975 14.67114 13.343368
## 19437       0 12.245470 14.88313 13.523812
## 19439       0 12.384249 15.12745 13.706697
## 19441       0 12.510622 15.39267 13.892055
## 19443       0 12.617263 15.66209 14.079920
## 19445       0 12.729714 15.96001 14.270325
## 19447       0 12.830995 16.26985 14.463305
## 19449       0 12.933504 16.58753 14.658895
## 19451       0 13.029273 16.92409 14.857129
## 19453       0 13.106783 17.27215 15.058045
## 19455       0 13.188133 17.64512 15.261677
## 19457       0 13.263707 18.01622 15.468064
## 19459       0 13.353466 18.42843 15.677241
## 19461       0 13.432372 18.82567 15.889247
## 19463       0 13.513453 19.23936 16.104120
## 19465       0 13.582972 19.67060 16.321898
## 19467       0 13.633575 20.10565 16.542622
## 19469       0 13.688893 20.55819 16.766331
## 19471       0 13.756667 21.01867 16.993065
## 19473       0 13.814921 21.49962 17.222865
## 19475       0 13.889533 22.00975 17.455773
## 19477       0 13.954464 22.51002 17.691830
## 19479       0 14.012368 22.99509 17.931080
## 19481       0 14.071917 23.51784 18.173565
## 19483       0 11.884939 14.34782 13.081450
## 19485       0  7.278795 12.16782  9.410003
## 19487       0  7.442278 12.22654  9.537256
## 19489       0  7.616903 12.27506  9.666230
## 19491       0  7.794476 12.33184  9.796948
## 19493       0  7.968878 12.37636  9.929433
## 19495       0  8.156875 12.43860 10.063711
## 19497       0  8.340492 12.49641 10.199804
## 19499       0  8.522020 12.56565 10.337738
## 19501       0  8.708284 12.62582 10.477537
## 19503       0  8.897316 12.69166 10.619226
## 19505       0  9.089560 12.74577 10.762832
## 19507       0  9.286074 12.80889 10.908379
## 19509       0  9.482701 12.88412 11.055895
## 19511       0  9.688510 12.95809 11.205406
## 19513       0  9.898005 13.03710 11.356939
## 19515       0 10.093741 13.13322 11.510520
## 19517       0 10.295404 13.21189 11.666179
## 19519       0 10.487528 13.31396 11.823943
## 19521       0 10.688480 13.41519 11.983840
## 19523       0 10.884731 13.51431 12.145900
## 19525       0 11.084090 13.63597 12.310151
## 19527       0 11.273297 13.76852 12.476623
## 19529       0 11.452446 13.92574 12.645346
## 19531       0 11.639194 14.08734 12.816351
## 19533       0 11.802069 14.25588 12.989669
## 19535       0 11.954662 14.44565 13.165331
## 19537       0 12.095975 14.67114 13.343368
## 19539       0 12.245470 14.88313 13.523812
## 19541       0 12.384249 15.12745 13.706697
## 19543       0 12.510622 15.39267 13.892055
## 19545       0 12.617263 15.66209 14.079920
## 19547       0 12.729714 15.96001 14.270325
## 19549       0 12.830995 16.26985 14.463305
## 19551       0 12.933504 16.58753 14.658895
## 19553       0 13.029273 16.92409 14.857129
## 19555       0 13.106783 17.27215 15.058045
## 19557       0 13.188133 17.64512 15.261677
## 19559       0 13.263707 18.01622 15.468064
## 19561       0 13.353466 18.42843 15.677241
## 19563       0 13.432372 18.82567 15.889247
## 19565       0 13.513453 19.23936 16.104120
## 19567       0 13.582972 19.67060 16.321898
## 19569       0 13.633575 20.10565 16.542622
## 19571       0 13.688893 20.55819 16.766331
## 19573       0 13.756667 21.01867 16.993065
## 19575       0 13.814921 21.49962 17.222865
## 19577       0 13.889533 22.00975 17.455773
## 19579       0 13.954464 22.51002 17.691830
## 19581       0 14.012368 22.99509 17.931080
## 19583       0 14.071917 23.51784 18.173565
## 19585       0 11.884939 14.34782 13.081450
## 19587       0  7.278795 12.16782  9.410003
## 19589       0  7.442278 12.22654  9.537256
## 19591       0  7.616903 12.27506  9.666230
## 19593       0  7.794476 12.33184  9.796948
## 19595       0  7.968878 12.37636  9.929433
## 19597       0  8.156875 12.43860 10.063711
## 19599       0  8.340492 12.49641 10.199804
## 19601       0  8.522020 12.56565 10.337738
## 19603       0  8.708284 12.62582 10.477537
## 19605       0  8.897316 12.69166 10.619226
## 19607       0  9.089560 12.74577 10.762832
## 19609       0  9.286074 12.80889 10.908379
## 19611       0  9.482701 12.88412 11.055895
## 19613       0  9.688510 12.95809 11.205406
## 19615       0  9.898005 13.03710 11.356939
## 19617       0 10.093741 13.13322 11.510520
## 19619       0 10.295404 13.21189 11.666179
## 19621       0 10.487528 13.31396 11.823943
## 19623       0 10.688480 13.41519 11.983840
## 19625       0 10.884731 13.51431 12.145900
## 19627       0 11.084090 13.63597 12.310151
## 19629       0 11.273297 13.76852 12.476623
## 19631       0 11.452446 13.92574 12.645346
## 19633       0 11.639194 14.08734 12.816351
## 19635       0 11.802069 14.25588 12.989669
## 19637       0 11.954662 14.44565 13.165331
## 19639       0 12.095975 14.67114 13.343368
## 19641       0 12.245470 14.88313 13.523812
## 19643       0 12.384249 15.12745 13.706697
## 19645       0 12.510622 15.39267 13.892055
## 19647       0 12.617263 15.66209 14.079920
## 19649       0 12.729714 15.96001 14.270325
## 19651       0 12.830995 16.26985 14.463305
## 19653       0 12.933504 16.58753 14.658895
## 19655       0 13.029273 16.92409 14.857129
## 19657       0 13.106783 17.27215 15.058045
## 19659       0 13.188133 17.64512 15.261677
## 19661       0 13.263707 18.01622 15.468064
## 19663       0 13.353466 18.42843 15.677241
## 19665       0 13.432372 18.82567 15.889247
## 19667       0 13.513453 19.23936 16.104120
## 19669       0 13.582972 19.67060 16.321898
## 19671       0 13.633575 20.10565 16.542622
## 19673       0 13.688893 20.55819 16.766331
## 19675       0 13.756667 21.01867 16.993065
## 19677       0 13.814921 21.49962 17.222865
## 19679       0 13.889533 22.00975 17.455773
## 19681       0 13.954464 22.51002 17.691830
## 19683       0 14.012368 22.99509 17.931080
## 19685       0 14.071917 23.51784 18.173565
## 19687       0 11.884939 14.34782 13.081450
## 19689       0  7.278795 12.16782  9.410003
## 19691       0  7.442278 12.22654  9.537256
## 19693       0  7.616903 12.27506  9.666230
## 19695       0  7.794476 12.33184  9.796948
## 19697       0  7.968878 12.37636  9.929433
## 19699       0  8.156875 12.43860 10.063711
## 19701       0  8.340492 12.49641 10.199804
## 19703       0  8.522020 12.56565 10.337738
## 19705       0  8.708284 12.62582 10.477537
## 19707       0  8.897316 12.69166 10.619226
## 19709       0  9.089560 12.74577 10.762832
## 19711       0  9.286074 12.80889 10.908379
## 19713       0  9.482701 12.88412 11.055895
## 19715       0  9.688510 12.95809 11.205406
## 19717       0  9.898005 13.03710 11.356939
## 19719       0 10.093741 13.13322 11.510520
## 19721       0 10.295404 13.21189 11.666179
## 19723       0 10.487528 13.31396 11.823943
## 19725       0 10.688480 13.41519 11.983840
## 19727       0 10.884731 13.51431 12.145900
## 19729       0 11.084090 13.63597 12.310151
## 19731       0 11.273297 13.76852 12.476623
## 19733       0 11.452446 13.92574 12.645346
## 19735       0 11.639194 14.08734 12.816351
## 19737       0 11.802069 14.25588 12.989669
## 19739       0 11.954662 14.44565 13.165331
## 19741       0 12.095975 14.67114 13.343368
## 19743       0 12.245470 14.88313 13.523812
## 19745       0 12.384249 15.12745 13.706697
## 19747       0 12.510622 15.39267 13.892055
## 19749       0 12.617263 15.66209 14.079920
## 19751       0 12.729714 15.96001 14.270325
## 19753       0 12.830995 16.26985 14.463305
## 19755       0 12.933504 16.58753 14.658895
## 19757       0 13.029273 16.92409 14.857129
## 19759       0 13.106783 17.27215 15.058045
## 19761       0 13.188133 17.64512 15.261677
## 19763       0 13.263707 18.01622 15.468064
## 19765       0 13.353466 18.42843 15.677241
## 19767       0 13.432372 18.82567 15.889247
## 19769       0 13.513453 19.23936 16.104120
## 19771       0 13.582972 19.67060 16.321898
## 19773       0 13.633575 20.10565 16.542622
## 19775       0 13.688893 20.55819 16.766331
## 19777       0 13.756667 21.01867 16.993065
## 19779       0 13.814921 21.49962 17.222865
## 19781       0 13.889533 22.00975 17.455773
## 19783       0 13.954464 22.51002 17.691830
## 19785       0 14.012368 22.99509 17.931080
## 19787       0 14.071917 23.51784 18.173565
## 19789       0 11.884939 14.34782 13.081450
## 19791       0  7.278795 12.16782  9.410003
## 19793       0  7.442278 12.22654  9.537256
## 19795       0  7.616903 12.27506  9.666230
## 19797       0  7.794476 12.33184  9.796948
## 19799       0  7.968878 12.37636  9.929433
## 19801       0  8.156875 12.43860 10.063711
## 19803       0  8.340492 12.49641 10.199804
## 19805       0  8.522020 12.56565 10.337738
## 19807       0  8.708284 12.62582 10.477537
## 19809       0  8.897316 12.69166 10.619226
## 19811       0  9.089560 12.74577 10.762832
## 19813       0  9.286074 12.80889 10.908379
## 19815       0  9.482701 12.88412 11.055895
## 19817       0  9.688510 12.95809 11.205406
## 19819       0  9.898005 13.03710 11.356939
## 19821       0 10.093741 13.13322 11.510520
## 19823       0 10.295404 13.21189 11.666179
## 19825       0 10.487528 13.31396 11.823943
## 19827       0 10.688480 13.41519 11.983840
## 19829       0 10.884731 13.51431 12.145900
## 19831       0 11.084090 13.63597 12.310151
## 19833       0 11.273297 13.76852 12.476623
## 19835       0 11.452446 13.92574 12.645346
## 19837       0 11.639194 14.08734 12.816351
## 19839       0 11.802069 14.25588 12.989669
## 19841       0 11.954662 14.44565 13.165331
## 19843       0 12.095975 14.67114 13.343368
## 19845       0 12.245470 14.88313 13.523812
## 19847       0 12.384249 15.12745 13.706697
## 19849       0 12.510622 15.39267 13.892055
## 19851       0 12.617263 15.66209 14.079920
## 19853       0 12.729714 15.96001 14.270325
## 19855       0 12.830995 16.26985 14.463305
## 19857       0 12.933504 16.58753 14.658895
## 19859       0 13.029273 16.92409 14.857129
## 19861       0 13.106783 17.27215 15.058045
## 19863       0 13.188133 17.64512 15.261677
## 19865       0 13.263707 18.01622 15.468064
## 19867       0 13.353466 18.42843 15.677241
## 19869       0 13.432372 18.82567 15.889247
## 19871       0 13.513453 19.23936 16.104120
## 19873       0 13.582972 19.67060 16.321898
## 19875       0 13.633575 20.10565 16.542622
## 19877       0 13.688893 20.55819 16.766331
## 19879       0 13.756667 21.01867 16.993065
## 19881       0 13.814921 21.49962 17.222865
## 19883       0 13.889533 22.00975 17.455773
## 19885       0 13.954464 22.51002 17.691830
## 19887       0 14.012368 22.99509 17.931080
## 19889       0 14.071917 23.51784 18.173565
## 19891       0 11.884939 14.34782 13.081450
## 19893       0  7.278795 12.16782  9.410003
## 19895       0  7.442278 12.22654  9.537256
## 19897       0  7.616903 12.27506  9.666230
## 19899       0  7.794476 12.33184  9.796948
## 19901       0  7.968878 12.37636  9.929433
## 19903       0  8.156875 12.43860 10.063711
## 19905       0  8.340492 12.49641 10.199804
## 19907       0  8.522020 12.56565 10.337738
## 19909       0  8.708284 12.62582 10.477537
## 19911       0  8.897316 12.69166 10.619226
## 19913       0  9.089560 12.74577 10.762832
## 19915       0  9.286074 12.80889 10.908379
## 19917       0  9.482701 12.88412 11.055895
## 19919       0  9.688510 12.95809 11.205406
## 19921       0  9.898005 13.03710 11.356939
## 19923       0 10.093741 13.13322 11.510520
## 19925       0 10.295404 13.21189 11.666179
## 19927       0 10.487528 13.31396 11.823943
## 19929       0 10.688480 13.41519 11.983840
## 19931       0 10.884731 13.51431 12.145900
## 19933       0 11.084090 13.63597 12.310151
## 19935       0 11.273297 13.76852 12.476623
## 19937       0 11.452446 13.92574 12.645346
## 19939       0 11.639194 14.08734 12.816351
## 19941       0 11.802069 14.25588 12.989669
## 19943       0 11.954662 14.44565 13.165331
## 19945       0 12.095975 14.67114 13.343368
## 19947       0 12.245470 14.88313 13.523812
## 19949       0 12.384249 15.12745 13.706697
## 19951       0 12.510622 15.39267 13.892055
## 19953       0 12.617263 15.66209 14.079920
## 19955       0 12.729714 15.96001 14.270325
## 19957       0 12.830995 16.26985 14.463305
## 19959       0 12.933504 16.58753 14.658895
## 19961       0 13.029273 16.92409 14.857129
## 19963       0 13.106783 17.27215 15.058045
## 19965       0 13.188133 17.64512 15.261677
## 19967       0 13.263707 18.01622 15.468064
## 19969       0 13.353466 18.42843 15.677241
## 19971       0 13.432372 18.82567 15.889247
## 19973       0 13.513453 19.23936 16.104120
## 19975       0 13.582972 19.67060 16.321898
## 19977       0 13.633575 20.10565 16.542622
## 19979       0 13.688893 20.55819 16.766331
## 19981       0 13.756667 21.01867 16.993065
## 19983       0 13.814921 21.49962 17.222865
## 19985       0 13.889533 22.00975 17.455773
## 19987       0 13.954464 22.51002 17.691830
## 19989       0 14.012368 22.99509 17.931080
## 19991       0 14.071917 23.51784 18.173565
## 19993       0 11.884939 14.34782 13.081450
## 19995       0  7.278795 12.16782  9.410003
## 19997       0  7.442278 12.22654  9.537256
## 19999       0  7.616903 12.27506  9.666230
## 20001       0  7.794476 12.33184  9.796948
## 20003       0  7.968878 12.37636  9.929433
## 20005       0  8.156875 12.43860 10.063711
## 20007       0  8.340492 12.49641 10.199804
## 20009       0  8.522020 12.56565 10.337738
## 20011       0  8.708284 12.62582 10.477537
## 20013       0  8.897316 12.69166 10.619226
## 20015       0  9.089560 12.74577 10.762832
## 20017       0  9.286074 12.80889 10.908379
## 20019       0  9.482701 12.88412 11.055895
## 20021       0  9.688510 12.95809 11.205406
## 20023       0  9.898005 13.03710 11.356939
## 20025       0 10.093741 13.13322 11.510520
## 20027       0 10.295404 13.21189 11.666179
## 20029       0 10.487528 13.31396 11.823943
## 20031       0 10.688480 13.41519 11.983840
## 20033       0 10.884731 13.51431 12.145900
## 20035       0 11.084090 13.63597 12.310151
## 20037       0 11.273297 13.76852 12.476623
## 20039       0 11.452446 13.92574 12.645346
## 20041       0 11.639194 14.08734 12.816351
## 20043       0 11.802069 14.25588 12.989669
## 20045       0 11.954662 14.44565 13.165331
## 20047       0 12.095975 14.67114 13.343368
## 20049       0 12.245470 14.88313 13.523812
## 20051       0 12.384249 15.12745 13.706697
## 20053       0 12.510622 15.39267 13.892055
## 20055       0 12.617263 15.66209 14.079920
## 20057       0 12.729714 15.96001 14.270325
## 20059       0 12.830995 16.26985 14.463305
## 20061       0 12.933504 16.58753 14.658895
## 20063       0 13.029273 16.92409 14.857129
## 20065       0 13.106783 17.27215 15.058045
## 20067       0 13.188133 17.64512 15.261677
## 20069       0 13.263707 18.01622 15.468064
## 20071       0 13.353466 18.42843 15.677241
## 20073       0 13.432372 18.82567 15.889247
## 20075       0 13.513453 19.23936 16.104120
## 20077       0 13.582972 19.67060 16.321898
## 20079       0 13.633575 20.10565 16.542622
## 20081       0 13.688893 20.55819 16.766331
## 20083       0 13.756667 21.01867 16.993065
## 20085       0 13.814921 21.49962 17.222865
## 20087       0 13.889533 22.00975 17.455773
## 20089       0 13.954464 22.51002 17.691830
## 20091       0 14.012368 22.99509 17.931080
## 20093       0 14.071917 23.51784 18.173565
## 20095       0 11.884939 14.34782 13.081450
## 20097       0  7.278795 12.16782  9.410003
## 20099       0  7.442278 12.22654  9.537256
## 20101       0  7.616903 12.27506  9.666230
## 20103       0  7.794476 12.33184  9.796948
## 20105       0  7.968878 12.37636  9.929433
## 20107       0  8.156875 12.43860 10.063711
## 20109       0  8.340492 12.49641 10.199804
## 20111       0  8.522020 12.56565 10.337738
## 20113       0  8.708284 12.62582 10.477537
## 20115       0  8.897316 12.69166 10.619226
## 20117       0  9.089560 12.74577 10.762832
## 20119       0  9.286074 12.80889 10.908379
## 20121       0  9.482701 12.88412 11.055895
## 20123       0  9.688510 12.95809 11.205406
## 20125       0  9.898005 13.03710 11.356939
## 20127       0 10.093741 13.13322 11.510520
## 20129       0 10.295404 13.21189 11.666179
## 20131       0 10.487528 13.31396 11.823943
## 20133       0 10.688480 13.41519 11.983840
## 20135       0 10.884731 13.51431 12.145900
## 20137       0 11.084090 13.63597 12.310151
## 20139       0 11.273297 13.76852 12.476623
## 20141       0 11.452446 13.92574 12.645346
## 20143       0 11.639194 14.08734 12.816351
## 20145       0 11.802069 14.25588 12.989669
## 20147       0 11.954662 14.44565 13.165331
## 20149       0 12.095975 14.67114 13.343368
## 20151       0 12.245470 14.88313 13.523812
## 20153       0 12.384249 15.12745 13.706697
## 20155       0 12.510622 15.39267 13.892055
## 20157       0 12.617263 15.66209 14.079920
## 20159       0 12.729714 15.96001 14.270325
## 20161       0 12.830995 16.26985 14.463305
## 20163       0 12.933504 16.58753 14.658895
## 20165       0 13.029273 16.92409 14.857129
## 20167       0 13.106783 17.27215 15.058045
## 20169       0 13.188133 17.64512 15.261677
## 20171       0 13.263707 18.01622 15.468064
## 20173       0 13.353466 18.42843 15.677241
## 20175       0 13.432372 18.82567 15.889247
## 20177       0 13.513453 19.23936 16.104120
## 20179       0 13.582972 19.67060 16.321898
## 20181       0 13.633575 20.10565 16.542622
## 20183       0 13.688893 20.55819 16.766331
## 20185       0 13.756667 21.01867 16.993065
## 20187       0 13.814921 21.49962 17.222865
## 20189       0 13.889533 22.00975 17.455773
## 20191       0 13.954464 22.51002 17.691830
## 20193       0 14.012368 22.99509 17.931080
## 20195       0 14.071917 23.51784 18.173565
## 20197       0 11.884939 14.34782 13.081450
## 20199       0  7.278795 12.16782  9.410003
## 20201       0  7.442278 12.22654  9.537256
##  [ reached getOption("max.print") -- omitted 201 rows ]
### Plot amplitude lmer with trial number

pframe2$trt3 <- mapvalues(pframe2$trt2, from = c("Sham first", "Weighted first"), 
                          to = c("Sham -> Weighted", "Weighted -> Sham"))

g0 <- ggplot(pframe2, aes(x=visitNum_centered, y=predMean))+
     geom_line(aes(color = treatment))+ 
     labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Sonication number\n (0 is when treatment switched)") + 
     geom_ribbon(aes(x = visitNum_centered, ymin = blo, ymax = bhi, fill= treatment), alpha = 0.2) + 
  facet_wrap(~trt3) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  scale_fill_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  theme(legend.position = c(0.5, 0.89), 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="horizontal")
g0

ggsave(filename = file.path(figDir, "WeightedSham_Timeseries_amp.pdf"), width =5, height = 3.6)



g1 <- g0 + geom_point(data = newdf3[newdf3$visitNum_centered < 50,],
                aes(x = visitNum_centered, y = amp_acc), position = position_jitter(width = 0.5),  size = 0.1, pch = 16, alpha = 0.4) + 
  ylim(c(0, 165)) 
g1

ggsave(filename = file.path(figDir, "WeightedSham_Timeseries_withRawData.pdf"), width =5, height = 3.6)




g1 <- g0 + geom_point(data = newdf3[newdf3$visitNum_centered < 50,],
                aes(x = visitNum_centered, y = amp_acc), position = position_jitter(width = 0.5),  size = 0.1, pch = 16, alpha = 0.4) + 
  scale_y_log10(limits = c(2, 500)) + 
  annotation_logticks(sides = "l", color = 'grey', size = 0.2) 
g1
## Warning: Removed 50 rows containing missing values (geom_point).

ggsave(filename = file.path(figDir, "WeightedSham_Timeseries_withRawData_logScale.pdf"), width =5, height = 3.6)
## Warning: Removed 50 rows containing missing values (geom_point).
# make figure that isn't faceted by order of treatment

g03 <- ggplot(pframe2, aes(x=visitNum_centered, y=predMean))+
     geom_line(aes(color = treatment))+ 
     labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Sonication number\n (0 is when treatment switched)") + 
     geom_ribbon(aes(x = visitNum_centered, ymin = blo, ymax = bhi, fill= treatment), alpha = 0.2) + 
  facet_wrap(~treatment) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  scale_fill_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  theme(legend.position = c(0.75, 0.8), 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="vertical")
  
g03

ggsave(filename = file.path(figDir, "WeightedSham_Timeseries_trtFacet.pdf"), width =5, height = 3.6)

Show amplitude plot without visit number

look at visit number 1 (right at the time of switching)

# mean and 95% CI (without visit number)

g0_amp <- ggplot(pframe2[pframe2$visitNum_centered %in% c(1) & pframe2$IT == ITmean, ], aes(x=treatment, y=predMean))+
    geom_point(aes(color = treatment), alpha = 1) + 
     labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Flower treatment") + 
     geom_errorbar(aes(x = treatment, ymin = blo, ymax = bhi, color= treatment), alpha = 1, width = 0.1) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, option = "A", begin =0, end = 0) + 
  theme(legend.position = "none", 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="horizontal") 
g0_amp

ggsave(filename = file.path(figDir, "WeightedSham_Amp_pointWhiskers_BW.pdf"), width =2.5, height = 3)



g0 <- ggplot(pframe2[pframe2$visitNum_centered %in% c(1) & pframe2$IT == ITmean, ], aes(x=treatment, y=predMean))+
    geom_point(aes(color = treatment), alpha = 1) + 
     labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Flower treatment") + 
     geom_errorbar(aes(x = treatment, ymin = blo, ymax = bhi, color= treatment), alpha = 1, width = 0.1) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  theme(legend.position = "none", 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="horizontal") 
g0

ggsave(filename = file.path(figDir, "WeightedSham_Amp_pointWhiskers.pdf"), width =5, height = 3.6)






# fig 2b

g0IT <- ggplot(pframe2[pframe2$visitNum_centered %in% c(1), ], aes(x=IT, y=predMean))+
    geom_line(aes(color = treatment), alpha = 1) + 
     labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Intertegular span (mm)") + 
     geom_ribbon(aes(x = IT, ymin = blo, ymax = bhi, fill = treatment), alpha = 0.2) + 
  scale_color_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  scale_fill_viridis(name = "Flower treatment", discrete = TRUE, begin =0.3, end = 0.8) + 
  theme(legend.position = "top", 
        legend.background = element_rect(fill=alpha('gray95', 1)), 
        legend.direction="horizontal") 
g0IT

ggsave(g0IT, filename = file.path(figDir, "WeightedSham_Amp_IT_SUPP.pdf"), width =5, height = 3.6)

# make plot with rug
weight_rug <- g0IT + geom_rug(data = newdf3[!duplicated(newdf3$IT),], inherit.aes = FALSE, aes(x = IT))
  
weight_rug

ggsave(weight_rug, filename = file.path(figDir, "WeightedSham_Amp_IT_SUPP_rug.pdf"), width =5, height = 3.6)

Fig2b <- weight_rug



ITmean
## [1] 3.965833
g22 <- g0 + 
  annotate(geom="text", x=c(1,2), y=c(0, 0) + 40, label=c("a", "b"),
                color="black")
ggsave(filename = file.path(figDir, "WeightedSham_Amp_pointWhiskers_annot.pdf"), width =5, height = 3.6)

## add raw data
g1 <- g0 + geom_point(data = newdf3, aes(x = treatment, y = amp_acc, color = treatment), position = position_jitter(width = 0.1, height = 6), alpha = 0.4, pch = 16, size = 0.2)
g1

ggsave(filename = file.path(figDir, "WeightedSham_amp_pointWhiskers_rawData.pdf"), width =5, height = 3.6)

Put two plots into a single figure

major break – below this line is the first method I used

this is almost identical to the code above

Modeling frequency with lmer

Use BIC to select model (decide what interactions and covariates to use)

Make sure that REML = FALSE when comparing BIC values

Start with the biggest model of interest, and then see what predictors can be removed

# interaction that may be important, based on domain knowledge
m0 = lmer(freq ~ treatment*IT+  hive + (1|beeID), data = new_df, REML = FALSE)

# no interaction
m1 = lmer(freq ~ treatment+IT+  hive + (1|beeID), data = new_df, REML = FALSE)
BIC(m0, m1) # stay with m1 -- no interaction
##    df      BIC
## m0  7 25187.77
## m1  6 25184.69
anova(m0, m1) # this p-value is very borderline -- we're being 
## Data: new_df
## Models:
## m1: freq ~ treatment + IT + hive + (1 | beeID)
## m0: freq ~ treatment * IT + hive + (1 | beeID)
##    Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)  
## m1  6 25150 25185 -12569    25138                           
## m0  7 25147 25188 -12567    25133 4.6848      1    0.03043 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
# conservative to avoid overfitting by using BIC

m2 = lmer(freq ~ hive + IT+ (1|beeID), data = new_df, REML = FALSE)
BIC(m1, m2) # treatment doesn't make the model better
##    df      BIC
## m1  6 25184.69
## m2  5 25178.53
anova(m1, m2) # p-value for paper -- probably don't need to report
## Data: new_df
## Models:
## m2: freq ~ hive + IT + (1 | beeID)
## m1: freq ~ treatment + IT + hive + (1 | beeID)
##    Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m2  5 25150 25178 -12570    25140                         
## m1  6 25150 25185 -12569    25138 1.6039      1     0.2054
# p-value for hive
m3 = lmer(freq ~ treatment + (1|beeID), data = new_df, REML = FALSE)
anova(m1, m3)
## Data: new_df
## Models:
## m3: freq ~ treatment + (1 | beeID)
## m1: freq ~ treatment + IT + hive + (1 | beeID)
##    Df   AIC   BIC logLik deviance  Chisq Chi Df Pr(>Chisq)
## m3  4 25146 25169 -12569    25138                         
## m1  6 25150 25185 -12569    25138 0.1592      2     0.9235
# diagnostics -- use REML = TRUE
m1 <- update(m1, .~., REML =TRUE)
summary(m1) # summary for paper
## Linear mixed model fit by REML ['lmerMod']
## Formula: freq ~ treatment + IT + hive + (1 | beeID)
##    Data: new_df
## 
## REML criterion at convergence: 25115.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3676 -0.4684  0.1873  0.6825  2.3319 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept)  954.3   30.89   
##  Residual             2357.8   48.56   
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                   Estimate Std. Error t value
## (Intercept)        355.173     61.937   5.734
## treatmentWeighted    2.614      2.065   1.266
## IT                  -1.833     15.543  -0.118
## hive4               -4.129     11.398  -0.362
## 
## Correlation of Fixed Effects:
##             (Intr) trtmnW IT    
## trtmntWghtd -0.002              
## IT          -0.995 -0.016       
## hive4       -0.047  0.000 -0.009
plot(m1)

qqnorm(ranef(m1)$beeID[[1]])
qqline(ranef(m1)$beeID[[1]])

sjp.lmer(m1, type = "re", sort = TRUE) # plot random effects to find any outliers
## Plotting random effects...

sjp.lmer(m1, type = 'fe', sort = TRUE, p.kr = FALSE) # plot fixed effects
## Computing p-values via Wald-statistics approximation (treating t as Wald z).

Bootstrap CI’s for figure for paper

# set number of bootstrap replicates for models
nbootSims = 1000

table(new_df$hive) # more trials from hive 3
## 
##    3    4 
## 1644  716
# using hive 3, since it's the one with the most data
# however, hive doesn't affect model anyway

# calculate an average IT for prediction
ITmean = mean(tapply(new_df$IT, INDEX = new_df$beeID, FUN = function(x) x[1] ))

pframe <- data.frame(treatment = levels(droplevels(new_df$treatment)),
                     IT = ITmean, 
                     hive = factor(3, levels = levels(new_df$hive)),  
                     beeID = 99999)
pframe$freq <- 0
pp <- predict(m1, newdata = pframe, re.form=NA, type = 'response') # re.form sets all random effects to 0


### Calculate CI's (using bootstrap, not accounting for random effects)
bb2 <- bootMer(m1, FUN=function(x) predict(x, pframe, re.form=NA, type = 'response'), nsim = nbootSims)
print(paste("Number of bootstrap samples", nrow(bb2$t)))
## [1] "Number of bootstrap samples 1000"
bb2_se <-apply(bb2$t,2,function(x) quantile(x, probs = c(0.025, 0.975)))
pframe$blo<-bb2_se[1,]
pframe$bhi<-bb2_se[2,]
pframe$predMean <- pp
pframe <- pframe[, c('treatment', "blo", "bhi", "predMean")]
pframe
##   treatment      blo      bhi predMean
## 1      Sham 335.3492 359.8953 347.9021
## 2  Weighted 337.7346 363.1810 350.5156

Make frequency plots for paper

# "Mean and bootstrap CI based on fixed-effects uncertainty ONLY"
g0 <- ggplot(pframe, aes(x=treatment, y=predMean))+
     geom_point()+ 
     labs(y = "Sonication frequency (Hz)", x = "Flower treatment") + 
     geom_errorbar(aes(ymin = blo, ymax = bhi), width = 0.1)
g0

ggsave(plot = g0, filename = file.path(figDir, "HeavyLight_PredsAndCI_freq.pdf"), width =4, height = 3)

Modeling amplitude with lmer

# log transform for acceleration helps model fit better
# start with large model (including interaction)
ma0 = lmer(log(amp_acc) ~ treatment * IT +  hive + (1|beeID), data = new_df, REML = FALSE)

ma1 = lmer(log(amp_acc) ~ treatment + IT +  hive + (1|beeID), data = new_df, REML = FALSE)

BIC(ma0, ma1) # interaction, ma0, is better
##     df      BIC
## ma0  7 4583.334
## ma1  6 4595.150
# pval for interaction (in case paper needs it)
anova(ma0, ma1)
## Data: new_df
## Models:
## ma1: log(amp_acc) ~ treatment + IT + hive + (1 | beeID)
## ma0: log(amp_acc) ~ treatment * IT + hive + (1 | beeID)
##     Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)    
## ma1  6 4560.6 4595.1 -2274.3   4548.6                             
## ma0  7 4543.0 4583.3 -2264.5   4529.0 19.582      1  9.639e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ma2 <- update(ma0, .~. - hive)
BIC(ma0, ma2) # hive not important
##     df      BIC
## ma0  7 4583.334
## ma2  6 4576.547
#pval for hive
anova(ma0, ma2)
## Data: new_df
## Models:
## ma2: log(amp_acc) ~ treatment + IT + (1 | beeID) + treatment:IT
## ma0: log(amp_acc) ~ treatment * IT + hive + (1 | beeID)
##     Df    AIC    BIC  logLik deviance Chisq Chi Df Pr(>Chisq)
## ma2  6 4541.9 4576.5 -2265.0   4529.9                        
## ma0  7 4543.0 4583.3 -2264.5   4529.0 0.979      1     0.3224
# fit with reml = TRUE for summarizing
ma3 <- update(ma2,.~., REML = TRUE)
summary(ma3) # final model to report
## Linear mixed model fit by REML ['lmerMod']
## Formula: log(amp_acc) ~ treatment + IT + (1 | beeID) + treatment:IT
##    Data: new_df
## 
## REML criterion at convergence: 4545.1
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.0179 -0.5395  0.1071  0.6826  2.6697 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  beeID    (Intercept) 0.07463  0.2732  
##  Residual             0.38434  0.6200  
## Number of obs: 2360, groups:  beeID, 36
## 
## Fixed effects:
##                      Estimate Std. Error t value
## (Intercept)           2.63087    0.58488   4.498
## treatmentWeighted    -1.60422    0.30031  -5.342
## IT                    0.05653    0.14700   0.385
## treatmentWeighted:IT  0.33294    0.07515   4.430
## 
## Correlation of Fixed Effects:
##             (Intr) trtmnW IT    
## trtmntWghtd -0.301              
## IT          -0.996  0.300       
## trtmntWg:IT  0.302 -0.996 -0.303
# diagnostics
plot(ma3)

qqnorm(ranef(ma3)$beeID[[1]])
qqline(ranef(ma3)$beeID[[1]])

sjp.lmer(ma3) # plot random effects to find any outliers
## Plotting random effects...

sjp.lmer(ma3, type = 'fe', sort = TRUE, p.kr = FALSE) # plot fixed effects
## `sjp.lmer()` will become deprecated in the future. Please use `plot_model()` instead.
## Computing p-values via Wald-statistics approximation (treating t as Wald z).

Bootstrap CI’s for amplitude for figure for paper

# set number of bootstrap replicates for models
nbootSims2 = 1000

# using hive 3, since it's the one with the most data
pframe <- data.frame(treatment = levels(droplevels(new_df$treatment)), IT = ITmean, hive = factor(3, levels = levels(new_df$hive)),  beeID = 99999)
pframe$amp_acc <- 0
# exponentiate to put on original scale
pp <- exp(predict(ma3, newdata = pframe, re.form=NA, type = 'response')) # re.form sets all random effects to 0


### Calculate CI's (using bootstrap, not accounting for random effects)
bb2 <- bootMer(ma3, FUN=function(x) predict(x, pframe, re.form=NA, type = 'response'), nsim = nbootSims2)
print(paste("Number of bootstrap samples", nrow(bb2$t)))
## [1] "Number of bootstrap samples 1000"
bb2_se <-apply(bb2$t,2,function(x) quantile(x, probs = c(0.025, 0.975)))
pframe$blo<- exp(bb2_se[1,]) # exponentiate to put on original scale
pframe$bhi<- exp(bb2_se[2,])
pframe$predMean <- pp
pframe <- pframe[, c('treatment', "blo", "bhi", "predMean")]
pframe
##   treatment      blo      bhi predMean
## 1      Sham 31.55900 37.97060 34.75029
## 2  Weighted 23.82485 28.84456 26.16290

Make amplitude plots for paper

# "Mean and bootstrap CI based on fixed-effects uncertainty ONLY"
# Holding IT = meanIT
print(ITmean)
## [1] 3.965833
ga0 <- ggplot(pframe, aes(x=treatment, y=predMean))+
     geom_point()+ 
     labs(y = expression ("Sonication acceleration "(m~s^{-2})), x = "Flower treatment") + 
     geom_errorbar(aes(ymin = blo, ymax = bhi), width = 0.1) +
  annotate(geom="text", x=c(1,2), y=c(0, 0) + 40, label=c("a", "b"),
                color="black") 
ga0

ggsave(plot = ga0, filename = file.path(figDir, "HeavyLight_PredsAndCI_amp.pdf"), width =4, height = 3)

Put two plots into a single figure

# refref: note I might want to align these two figure for paper (in one plot)
# WeightedSham_Amp_pointWhiskers_BW.pdf
# WeightedSham_Freq_pointWhiskers_BW.pdf

pfreq <- Fig2a

pamp <- Fig2b + theme(legend.position = c(.5,.85)) + ylim(c(10/2,55/2))

  

aa <- plot_grid(pfreq, pamp, align = 'h', axis = 'l', rel_widths = c(1,2))

ggdraw(aa)

ac <- plot_grid(pfreq, pamp, align = 'h', axis = 'l', rel_widths = c(1,2), labels = "AUTO")
ggdraw(ac)

save_plot(file.path(figDir, "CombinedFreqAmp_weightedSham4_noxlab_IT.pdf"), plot = aa, base_width = 7, base_height = 3)

save_plot(file.path(figDir, "CombinedFreqAmp_weightedSham4_annot_IT.pdf"), plot = ac, base_width = 7, base_height = 3)
sessionInfo()
## R version 3.4.2 (2017-09-28)
## Platform: x86_64-apple-darwin15.6.0 (64-bit)
## Running under: macOS High Sierra 10.13.3
## 
## Matrix products: default
## BLAS: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRblas.0.dylib
## LAPACK: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRlapack.dylib
## 
## locale:
## [1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
## 
## attached base packages:
## [1] stats     graphics  grDevices utils     datasets  methods   base     
## 
## other attached packages:
##  [1] cowplot_0.9.1     viridis_0.4.0     viridisLite_0.2.0
##  [4] gamm4_0.2-5       mgcv_1.8-20       nlme_3.1-131     
##  [7] effects_4.0-0     carData_3.0-0     plyr_1.8.4       
## [10] multcomp_1.4-8    TH.data_1.0-8     MASS_7.3-47      
## [13] survival_2.41-3   mvtnorm_1.0-6     sjPlot_2.4.0     
## [16] lme4_1.1-14       Matrix_1.2-11     reshape2_1.4.2   
## [19] ggplot2_2.2.1    
## 
## loaded via a namespace (and not attached):
##  [1] pbkrtest_0.4-7     RColorBrewer_1.1-2 rprojroot_1.2     
##  [4] tools_3.4.2        TMB_1.7.11         backports_1.1.1   
##  [7] R6_2.2.2           sjlabelled_1.0.5   DT_0.2            
## [10] lazyeval_0.2.1     colorspace_1.3-2   nnet_7.3-12       
## [13] gridExtra_2.3      tidyselect_0.2.3   mnormt_1.5-5      
## [16] compiler_3.4.2     sandwich_2.4-0     labeling_0.3      
## [19] scales_0.5.0       lmtest_0.9-35      psych_1.7.8       
## [22] blme_1.0-4         stringr_1.2.0      digest_0.6.12     
## [25] foreign_0.8-69     minqa_1.2.4        rmarkdown_1.8     
## [28] stringdist_0.9.4.6 pkgconfig_2.0.1    htmltools_0.3.6   
## [31] pwr_1.2-1          htmlwidgets_0.9    rlang_0.1.4       
## [34] shiny_1.0.5        bindr_0.1          zoo_1.8-0         
## [37] dplyr_0.7.4        magrittr_1.5       modeltools_0.2-21 
## [40] bayesplot_1.4.0    Rcpp_0.12.13       munsell_0.4.3     
## [43] abind_1.4-5        prediction_0.2.0   stringi_1.1.6     
## [46] yaml_2.1.14        merTools_0.3.0     snakecase_0.5.1   
## [49] grid_3.4.2         parallel_3.4.2     sjmisc_2.6.2      
## [52] forcats_0.2.0      lattice_0.20-35    ggeffects_0.2.2   
## [55] haven_1.1.0        splines_3.4.2      sjstats_0.12.0    
## [58] knitr_1.17         codetools_0.2-15   stats4_3.4.2      
## [61] glue_1.2.0         evaluate_0.10.1    modelr_0.1.1      
## [64] nloptr_1.0.4       httpuv_1.3.5       gtable_0.2.0      
## [67] purrr_0.2.4        tidyr_0.7.2        assertthat_0.2.0  
## [70] mime_0.5           coin_1.2-1         xtable_1.8-2      
## [73] broom_0.4.2        survey_3.32-1      coda_0.19-1       
## [76] tibble_1.3.4       arm_1.9-3          glmmTMB_0.1.4     
## [79] bindrcpp_0.2